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Item Code: 9781591419105 Saxon Math Course 3 Assessment Book supports mastery of the Common Core Standards by providing Placement Tests, Baseline Tests, Power Up Tests, Cumulative Assessments, End of Course Exams, Recording Forms, and Answer Keys. Recommended for 8th grade. Format: soft cover, 180 pages. Copyright 2007 but recommended for use with the 2012 Student Edition. The Course 1 Assessment Book did not require an update in 2012.
Placement Test The Placement Test is a 50 problem test that can be used to help teachers find the best initial placement for students who are new to Saxon Math. The Placement Test is not intended for use with current Saxon Math students.
Baseline Test The Baseline Test is a 50 problem, multiple choice test. It should be administered only once, early in the school year, to gauge the skills of incoming students. The content covers skills and concepts that are included in the math curriculum of the preceding year.
Power Up Tests The Power Up Tests are administered with the Cumulative Test. Each Cumulative Test identifies the Power Up Test to be taken that day. Every Power Up Test contains a facts section and a problem solving section. The Power Up Tests are designed to assess ability to quickly recall basic math facts, demonstrate basic skills, implement problem solving strategies, and communicate mathematical ideas.
Cumulative Tests The Cumulative Tests are designed to provide teachers with diagnostic information. The Cumulative Test design allows students to demonstrate the skills they have developed, and it builds confidence that will benefit students when they encounter comprehensive standardized tests. Cumulative Tests should be given after every fifth lesson, beginning after Lesson 10.
Benchmark Tests Three cumulative Benchmark Tests for Saxon Math Course 3 are included. The Benchmark Tests are designed to measure student comprehension of topics previously introduced in the course. They provide a measure of student progress on a regular basis and can help identify concepts for which additional instruction and practice is indicated. The Benchmark Tests also provide additional practice with multiple choice items. Each test contains 25 multiple choice problems. To conserve school days, these tests may be used in lieu of Cumulative Tests 6, 12, and 18, which cover content through Lessons 30, 60, and 90 respectively.
End of Course Exam The End of Course Exam is a comprehensive, 50 problem, multiple choice test that assesses student knowledge of the content presented during the course. This cumulative assessment should be administered as late in the year as possible
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Our first knowledge of differential geometry usually comes from the study of the curves and surfaces in $I\!\!R^3$ that arise in calculus. Here we...show more learn about line and surface integrals, divergence and curl, and the various forms of Stokes' Theorem. If we are fortunate, we may encounter curvature and such things as the Serret-Frenet formulas.With just the basic tools from multivariable calculus, plus a little knowledge of linear algebra, it is possible to begin a much richer and rewarding study of differential geometry, which is what is presented in this book. It starts with an introduction to the classical differential geometry of curves and surfaces in Euclidean space, then leads to an introduction to the Riemannian geometry of more general manifolds, including a look at Einstein spaces. An important bridge from the low-dimensional theory to the general case is provided by a chapter on the intrinsic geometry of surfaces.The first half of the book, covering the geometry of curves and surfaces, would be suitable for a one-semester undergraduate course. The local and global theories of curves and surfaces are presented, including detailed discussions of surfaces of rotation, ruled surfaces, and minimal surfaces.The second half of the book, which could be used for a more advanced course, begins with an introduction to differentiable manifolds, Riemannian structures, and the curvature tensor. Two special topics are treated in detail: spaces of constant curvature and Einstein spaces.The main goal of the book is to get started in a fairly elementary way, then to guide the reader toward more sophisticated concepts and more advanced topics. There are many examples and exercises to help along the way. Numerous figures help the reader visualize key concepts and examples, especially in lower dimensions. For the second edition, a number of errors were corrected and some text and a number of figures have been added. ...show less
$71.67
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Casio FX 83 ES
I've owned the Casio FX-83ES for as long as I can remember. I actually own the solar panel version but in principal it is the same calculator. The FX-83 has served me through my GCSE's, A-Levels and through my first 3 years of university and unless something drastically changes it will be there throughout my fourth and final year of university.
There are numerous reasons why I've stuck by this calculator for so long. In short; it has a fine balance between simplicity and ease of use but also offering more complex advanced abilities to those who study more difficult topics. The calculator comes packaged with a handy manual but for anyone who regularly uses a calculator knows that the best way to understand one is to use it repeatedly. Within minutes of first using it I was able to accomplish everything I needed.
The replay function is very handy and lets you work back through a calculation if something went wrong. It stores at least 10 of your previous commands (Without you having to save them) so you can always flick back to see what you've done in the past. The calculator comes equipped with 7 memory slots which should be more than enough for students. The calculator naturally expresses the answer in either fraction or square root form which means the accuracy is always of the highest order. I know a lot of people don't like this; they much prefer the answer as 31.34848 for example. However the press of one button will change the answer from exact form to a regular number.
The calculator itself looks pretty snazzy. I know calculators aren't exactly a fashion trend but comparing this to other calculators out there it looks modern and slick. There are some horribly retro looking ones out there which make them look like a brick. This one is slim and lightweight and the sliding cover doesn't stick. The dark background and buttons is also much nicer than the light coloured ones which normally have bright green/pink buttons.
The buttons are cleverly colour coded for ease of use. Cancel/delete are red whilst all the options/menu/control buttons are in blue. The numbers and basic functions (Add, subtract etc) are in dark black whilst more advanced functions (Trigonometry, log, square root etc) are smaller and in a dark shade of blue. This makes finding the right button a doddle. The buttons are clearly labelled including their shift/alpha alternatives.
It's also worth mentioning that these labels don't fade. I've had my current calculator for about 5 years and none of the paint work has come off or scratched. As a device it is generally very robust. There are no signs of wear and tear. None of the plastic has been damaged or started to crack. Often the case begins to show signs of heavy use but the FX-83ES is strong and can withstand a bit of a beating. It's a similar story for the battery life. I have mentioned that mine is the version with the solar panels however I doubt they add that much extra life. The battery has yet to fail in over 5 years of use. At school I studied Physics, Maths and Further Maths and I've gone onto to study Engineering at University so as you can imagine I've spent a fair few hours using this calculator! I always carry a back up for exams but so far there's been no need for it
Having studied the subjects mentioned I've needed a high quality calculator with a lot of functions and so far the FX-83ES has yet to fail me. Whether its advanced trigonometry (Sinh, cosh etc), logarithmic equations or working in radians the calculator has been an absolute breeze to use. Not once have I needed a more advanced calculator. The FX-83ES isn't a graphic calculator which is probably it's only set back however a graphic calculator is only realistically by a small group of people. What's best about this calculator is it meets the legal requirements for GCSE, A Level and University exams. The laws for what you can and can't take into an exam are becoming increasingly finicky but the FX-83ES meets all the requirements meaning exams are just that little bit easier with one of these by your side.
So in summary it is a very useful calculator that is very easy to use. It is appropriate for school students as well as University students. The battery life is huge so buying just the one could last you 5-6 years. It's very accurate and exact but not too daunting and scary for younger children who want a simple answer. And for those who like to muck about on a calculator you can write any letter in the alphabet apart from T or V (Don't deny it, we all have before at some point!)
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Schaum's Outline of Precalculus outline aims to help high school and college students review algebra and trigonometry and prepare them for first-semester college calculus. This outline takes the fear out of calculus by showing in simple, easy-to-understand steps how to apply basic principles and concepts to actual problems. It is the perfect aid for struggling students who need to master the basics before tackling a college-level calculus course. If you want top grades and thorough understanding of precalculus, this powerful stud... MOREy tool is the best tutor you can have! It takes you step-by-step through the subject and gives you more than 600 accompanying related problems with fully worked solutions. You also get plenty of practice problems to do on your own, working at your own speed. (Answers provided to show you how you're doing.) Famous for their clarity, wealth of illustrations and examples, and lack of dreary minutiae, Schaum's Outlines have sold more than 30 million copies worldwideshy;shy;and this guide will show you why!
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11. Real-World Algebra: Solve the world's problems
Chapter 11. Real-World Algebra: Solve the world's problems
The world's got big problems... you've got big answers.
Hundreds of pages of math, and what do you really have? A bunch of x's and y's, a's and b's? Nope... you've got skills to solve for an unknown, even in the most difficult situations. So what's that good for? Well, in this chapter, it's all about the real world: you're going to use your Algebra skills to solve some real problems. By the time you're done, you'll have won friends, influenced people, and saved yourself a whole bucket full of cash. Interested? Let's get started.
Sharpen your pencil
Max has a lot to think about to get into the car of his dreams. Here are just a few of the pieces of paperwork Max has to consider... write down a few details to get Max started.
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lin... read more
Trigonometry Refresher by A. Albert Klaf Covers the most important aspects of plane and spherical trigonometry. Discusses special problems in navigation, surveying, elasticity, architecture, and various fields of engineering. Includes 1,738 problems, many with solutions. 1946 edition. Features 494 figures.
How to Calculate Quickly: Full Course in Speed Arithmetic by Henry Sticker Many useful procedures explained and taught: 2-column addition, left-to-right subtraction, mental division of large numbers, more. Also numerous helpful shortcuts. More than 8,000 problems, with solutions. 1945 edition.
Product Description: — housewife, merchant, student — will profit from this refresher. Parents will find it an excellent source of material for helping children in school work
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in its approach, the Lehmann Algebra Series uses u... MOREnderstanding that they gain, students are able to verbally describe the concepts related to functions. Normal 0 false false false Unique in its approach, theLehmann Algebra Seriesuses understanding that they gain, students are able to verbally describe the concepts related to functions. Introduction to Modeling, Operations and Expressions, Using the Slope to Graph Linear Equations, Simplifying Expressions and Solving Equations, Linear Functions and Linear Inequalities in One Variable, Systems of Linear Equations and Systems of Linear Inequalities, Polynomial Functions and Properties of Exponents, Factoring Polynomials and Solving Polynomial Equations, Quadratic Functions, Exponential Functions, Logarithmic Functions, Rational Functions, Radical Functions, Sequences and Series, Additional Topics For all readers interested in algebra.
Before writing my algebra series, it was painfully apparent that my students couldn't relate to the applications in the course. I was plagued with the question, "What is this good for?" To try to bridge that gap, I wrote some labs, which facilitated my students in collecting data, finding models via curve fitting, and using the models to make estimates and predictions. My students really loved working with the current, compelling, and authentic data and experiencing how mathematics truly is useful.
My students' response was so strong that I decided to write an algebra series. Little did I know that to realize this goal, I would need to embark on a 15-year challenging journey, but the rewards of hearing such excitement from students and faculty across the country has made it all worthwhile! I'm proud to have played even a small role in raising peoples' respect and enthusiasm for mathematics.
I have tried to honor my inspiration: by working with authentic data, students can experience the power of mathematics. A random-sample study at my college suggests that I am achieving this goal. The study concludes that students who used my series were more likely to feel that mathematics would be useful in their lives (P-value 0.0061) as well as their careers (P-value 0.024).
In addition to curve fitting, my approach includes other types of meaningful modeling, directed-discovery explorations, conceptual questions, and of course, a large bank of skill problems. The curve-fitting applications serve as a portal for students to see the usefulness of mathematics so that they become fully engaged in the class. Once involved, they are more receptive to all aspects of the course.
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is an essentially self-contained book on the theory of convex functions and convex optimization in Banach spaces, with a special interest in Orlicz spaces. Approximate algorithms based on the stability principles and the solution of the corresponding nonlinear equationsaredeveloped in this text.A synopsis of the geometry of Banach spaces, aspects... more...
This is the perfect introduction for those who have a lingering fear of maths. If you think that maths is difficult, confusing, dull or just plain scary, then The Maths Handbook is your ideal companion.
Covering all the basics including fractions, equations, primes, squares and square roots, geometry and fractals, Dr Richard Elwes will lead you gently... more...
These simple math secrets and tricks will forever change how you look at the world of numbers. Secrets of Mental Math will have you thinking like a math genius in no time. Get ready to amaze your friends?and yourself?with incredible calculations you never thought you could master, as renowned ?mathemagician? Arthur Benjamin shares his techniques... more...
A is for Algebra-and that's the grade you'll pull when you use Bob Miller's simple guide to the math course every college-bound kid must take. With eight books and more than 30 years of hard-core classroom experience, Bob Miller is the frustrated student's best friend. He breaks down the complexities of every problem into easy-to-understand pieces... more...
An ideal course text or supplement for the many underprepared students enrolled in the required freshman college math course, this revision of the highly successful outline (more than 348,000 copies sold to date) has been updated to reflect the many recent changes in the curriculum. Based on Schaum's critically acclaimed pedagogy of concise theory... more...
From the author of the highly successful The Complete Idiot's Guide to Calculus comes the perfect book for high school and college students. Following a standard algebra curriculum, it will teach students the basics so that they can make sense of their textbooks and get through algebra class with flying colors. more...
Tips for simplifying tricky operations Get the skills you need to solve problems and equations and be ready for algebra class Whether you're a student preparing to take algebra or a parent who wants to brush up on basic math, this fun, friendly guide has the tools you need to get in gear. From positive, negative, and whole numbers to fractions, decimals,... more...
Whether you're a science major, an engineer, or a business graduate, calculus can be one of the most intimidating subjects around. Fortunately, Calculus for the Utterly Confused is your formula for success. Written by two experienced teachers who have taken the complexity out of calculus for thousands of students, this book breaks down tough concepts... more...
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Many students worry about starting algebra. Pre-Algebra Essentials For Dummies provides an overview of critical pre-algebra concepts to help new algebra students (and their parents) take the next step without...
$ 18.29
In this powerful and dramatic biography Sylvia Nasar vividly re-creates the life of a mathematical genius whose career was cut short by schizophrenia and who, after three decades of devastating mental illness,...
$ 6.99
In its largest aspect, the calculus functions as a celestial measuring tape, able to order the infinite expanse of the universe. Time and space are given names, points, and limits; seemingly intractable problems...
$ 74.99
Throughout history, thinkers from mathematicians to theologians have pondered the mysterious relationship between numbers and the nature of reality. In this fascinating book, Mario Livio tells the tale of a...
$ 25.99
Hands-On Math Projects with Real-Life Applications, Second Edition offers an exciting collection of 60 hands-on projects to help students in grades 6--12 apply math concepts and skills to solving everyday, real-life...
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Math is at the heart of pharmaceutical care. A sound knowledge of math concepts is critical to the success of the Pharmacy Technician. Pharmaceutical Calculations for The Pharmacy Technician focuses on dosage calculations and basic math skills: from simple addition and subtraction to formulas used in dosage calculations to business math concepts. Accuracy in calculations will guide the Pharmacy Technician in the prevention of medication errors.
From Doody's Book Review: "This book is innovative and a perfect learning tool. It is one of the first books to acknowledge the importance of a pharmacy technician's job and prepares the student for work in a pharmacy by relating the material to real-life experiences. It is the first book I have seen to include so many pictures of labels taken directly from manufacturers and forms taken directly from hospitals. This is invaluable exposure to what the technicians will see once they are in the working world. This book prepares pharmacy technicians for the responsibility of ensuring a safe healthcare environment by avoiding medication errors." Reviewed by Lindsay I. Varga, Temple University School of Pharmacy. Weighted Numerical Score: 100102.95
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Praxis II Math: CK Flashcards
Description
Praxis II Mathematics: Content Knowledge (0061) Exam Flashcard Study System uses repetitive methods of study to teach you how to break apart and quickly solve difficult test questions on the Praxis II: Subject Assessments.
Study after study has shown that spaced repetition is the most effective form of learning, and nothing beats flashcards when it comes to making repetitive learning fun and f...
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Encalc is an online scientific calculator. Key features include the ability to handle units and dimensional analysis, to perform symbolic algebra and calculus, to define variables, and to lookup values from its large database of physical constants. Integr
a free online scientific calculator. Encalc describes itself on its homepage as follows, "Encalc is an online scientific calculator. Its strength lies in its ability handle units and dimensional analysis, to define variables and its large database of constants. Parenthesis and scientific formulas are also supported." One of the features that I really like about Encalc are the explanations of how different variables and constants function within an equation or formula.
An online scientific calculator (no need to download). Its strength lies in its ability handle units and dimensional analysis, to define variables and its large database of constants. Parenthesis and scientific formulas are also supported. Encalc provides
Encalc is an online scientific calculator. Its strength lies in its ability to handle units and dimensional analysis, to define variables, and its large database of constants. Parentheses and scientific formulas are also supported.
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Introduction to STEP Preparation
Stage: 5 Challenge Level:
During 2013, the NRICH Stage 5 team have been working on an exciting new collection of linked materials to help students prepare for sitting their STEP Mathematics examinations.
Each fortnight, a new module will appear on the STEP Preparation page. Each module will consist of problems, articles, worked examples, advice for STEP candidates and much more. By working through these modules, students will be able to start their STEP preparation in a timely manner, and have a good idea what to expect by the time they sit the exam
at the end of Year 13.
As the modules appear, previous modules will be archived to allow students to revisit earlier content, or to pick up the programme part of the way through. By Summer 2014 the complete set of modules will form a permanent STEP preparation collection.
The modules are initially being released as pilots and will be adapted over the course of 2013/14 in response to feedback, so if you have any comments or feedback, please get in touch
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A Worktext
Written for pharmacy technicians, and addressing the competencies developed by the American Society of Health-System Pharmacists (ASHP), Math Calculations for Pharmacy Technicians, 2nd Edition helps you learn to calculate drug dosages safely and accurately. A practical worktext format covers everything from basic math skills to reading and interpreting labels and physicians' orders, introducing key calculation and conversion concepts and then providing hundreds of problems so you can practice and master the material. Other vital topics include conversions between the various measurement systems, reconstituting liquid medications, and calculating medications based on a patient's age or body weight. Written by experienced pharmacist Robert Fulcher and educator Eugenia Fulcher, Math Calculations for Pharmacy Technicians helps you learn calculation skills and develop the competencies needed by pharmacy technicians.
New to This Edition
Updated content
meets ASHP requirementsand features new topics such as powder volume and compounding problems, formulas for reducing and enlarging medications, and opportunities to write out prescription label directions.
Tech Note boxes offer helpful advice on real-life situations you may encounter in the pharmacy.
Tech Alert boxes warn against common pharmacy and medication errors that could impact patients' safety
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This book provides a treatment of counting combinatorics that uniquely includes detailed formulas, proofs, and exercises and features coverage of derangements, elementary probability, conditional probability, independent probability, and Bayes' Theorem. Using elementary applications that never advance beyond the use of Venn diagrams, the inclusion/exclusion formula, the multiplication principal, permutations, and combinations, Combinatorics is perfect for courses on discrete or finite mathematics—or as a reference for anyone who wants to learn about the various applications of elementary combinatorics.
Preface
Logic
Formal Logic
Basic Logical Strategies
The Direct Argument
More Argument Forms
Proof by Contradiction
Exercises
Sets
Set Notation
Predicates
Subsets
Union and Intersection
Exercises
Venn Diagrams
Inclusion/Exclusion Principle
Two-Circle Venn Diagrams
Three-Square Venn Diagrams
Exercises
Multiplication Principle
What Is the Principle?
Exercises
Permutations
Some Special Numbers
Permutations Problems
Exercises
Combinations
Some Special Numbers
Combination Problems
Exercises
Problems Combining Techniques
Significant Order
Order Not Significant
Exercises
Arrangement Problems
Examples of Arrangements
Exercises
At Least, At Most, and Or
Counting with Or
At Least, At Most
Exercises
Complement Counting
The Complement Formula
A New View of "At Least"
Exercises
Advanced Permutations
Venn Diagrams and Permutations
Exercises
Advanced Combinations
Venn Diagrams and Combinations
Exercises
Poker and Counting
Warm-Up Problems
Poker Hands
Jacks or Better
Exercises
Advanced Counting
Indistinguishable Objects
Circular Permutations
Bracelets
Exercises
Algebra and Counting
The Binomial Theorem
Identities
Exercises
Derangements
Mathematical Induction
Fixed-Point Theorems
His Own Coat
Inclusion/Exclusion for Many Sets
A Common Miscount
Exercises
Probability Vocabulary
Vocabulary
Equally Likely Outcomes
Outcomes in Experiments
Exercises
Probability Trees
Tree Diagrams
Exercises
Independent Events
Independence
Logical Consequences of Influence
Exercises
Sequences and Probability
Sequences of Events
Exercises
Conditional Probability
What Does Conditional Mean?
Exercises
Bayes' Theorem
The Theorem
Exercises
Statistics
Introduction
Probability Is Not Statistics
Conversational Probability
Conditional Statistics
The Mean
Median
Randomness
Linear Programming
Continuous Variables
Discrete Variables
Incorrectly Applied Rules
Subjective Truth
The Absolute Truth of Axioms
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Book Description: The Sullivan/Struve/Mazzarella Algebra Series was written to motivate students to "do the math" outside of the classroom through a design and organization that models what you do inside the classroom. The left-to-right annotations in the examples provide a teacher's voice through every step of the problem-solving process. The Sullivan exercise sets, which begin with Quick Checks to reinforce each example, present problem types of every possible derivation with a gradual increase in difficulty level. The new "Do the Math" Workbook acts as a companion to the text and to MyMathLab® by providing short warm-up exercises, guided practice examples, and additional "Do the Math" practice exercises for every section of the text. Real Numbers and Algebraic Expressions; Linear Equations and Inequalities; Linear Equations and Inequalities in One Variable; Linear Equations and Inequalities in Two Variables; Relations, Functions, and More Inequalities; Systems of Linear Equations and Inequalities; Polynomial and Polynomial Functions; Rational Expressions and Rational Functions; Radicals and Rational Exponents; Quadratic Equations and Functions; Exponential and Logarithmic Functions; Conics; Sequences, Series, and the Binomial Theorem For all readers interested in intermediate
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Whether you are returning to school, studying for an adult numeracy test, helping your kids with homework, or seeking the confidence that a firm maths foundation provides in everyday encounters, Basic Maths For Dummies, UK Edition, provides the content you need to improve your basic maths skills. Based upon the Adult Numeracy Core Curriculum,... more...
The easy way to get practice and excel at numeracy tests Whether you're looking for a new job, applying to certain university courses, or attempting to join the military, you're increasingly likely to face a numeracy test as part of the screening process. And the only way to prepare for a numeracy test is practise. Numeracy Tests... more...
Fun, friendly coaching and all the practice you need to tackle maths problems with confidence and ease In his popular Basic Maths For Dummies, professional maths tutor Colin Beveridge proved that he could turn anyone – even the most maths-phobic person – into a natural-born number cruncher. In this book he supplies more of his... more...
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November 24th 2009, 09:40 PM
RockHard
I'd suggest as you stated, Integrals make up a big part, as well as using trigonometric integrals in some cases, so practice integrals by substitutions, including, trig substitutions, and integration by parts, and get familiar with the table of integrals so you can easily find which functions have a elementary form, or has some form that is achieved in the table. Also get to know your limits, working with various limit problems, using different methods such as L' Hospitals Rule and making comparison to other function to determine a limit if the integral maybe be too hard to determine the limit, that just my two cents of what I ran into, also a bit of basic physics problems, such as work, force, pressure. Also volume of revolution and using
partitioning certain geometric shapes to find there volume or area
November 24th 2009, 09:56 PM
Drexel28
Quote:
Originally Posted by EconMajorMathMinor
Hi,
new to the forum here.
November 24th 2009, 10:01 PM
RockHard
Quote:
Originally Posted by Drexel28And that is where many of several problems arise Drexel, in Calc I, were merely shown, this is the formula how it works, just remember and you'll be good. However, when I arose in Calc II my teacher, old school fellow, did not believe in that, and explained the elongated way of teaching things, which was the principle of how these concepts and formulas works, and MAYBE saying there was a "shortcut" but he always say if you know the principle of how the concept works, you will not to need to memorize formulas, which is the right way, obviously, and for me to pass. lol.
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: Graphs and Models
The Graphs and Models series by Bittinger, Beecher, Ellenbogen, and Penna is known for helping students "see the math" through its focus on ...Show synopsisThe Graphs and Models series by Bittinger, Beecher, Ellenbogen, and Penna is known for helping students "see the math" through its focus on visualization and technology. These books continue to maintain the features that have helped students succeed for years: focus on functions, visual emphasis, side-by-side algebraic and graphical solutions, and real-data applications. This package contains: Algebra and Trigonometry: Graphs and Models, Fifth Edition
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Wednesday, October 22, 2008
We're beginning our trek into the deep waters of representational fluency - my favorite part of the algebra 2 curriculum. If my students only retain one thing from my course, I'd like it to be the ability to move back and forth between equations, graphs, and tables with (relative) ease. So, today we evaluate functions in all these forms. Tomorrow, we do the same, but toss in composite functions. I think the Keynote animations are really powerful here - especially when working with graphs. Though they know which axis is which, students tend to get all turned around when trying to read graphs this way. I think the vertical lines and moving points help them see what they are looking for
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The benefit of doing it this way, is you encounter real world
problems, rather than some dry, abstract theoretical usage like you would get from a book. Read the questions, see if you can provide a solution, then read the best solutions offered by the experts.
It is sort of the same idea as the old
teaching technique called "story problems" (IIRC), where instead of asking you to prove the Pythagorean Theorem, you are asked something like " find the height of a mountain, if you are 5 miles away and the angle to the top is 15 degrees". They are both essentially the same problem, but one is "more realistic" than
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Do the Math: Secrets, Lies and Algebra
By Wendy Lichtman 2007
Source: Library
I like the idea of a mystery intertwined with a few math concepts. Yet, the math is not too deep to turn off the reader. This story is more about the way the main character thinks about life or tries to make sense of life. The main character, Tess, tries to unravel a few mysteries such as a possible suicide, a stolen test, and suspicious high test scores while she deals with annoying girlfriends, parents, boys and other teenage issues. Basically, she tries to make sense of it all by relating to what she knows --- math. Sometimes, the answers do not always balance.
Overall, I liked "Do the Math: Secret, Lies, and Algebra." It has a good plot, but it left me with some reservations. For instance, I liked the chapter on graphs. Tess had overheard about the mysterious death of a woman dying of carbon monoxide in her garage. Of course, since Tess was a child, she was sent to her room to do her math homework. Well, she could not concentrate on the assignment to draw a particular graph and instead found herself drawing graphs showing two different possibilities on how the person possibly died using math terminology. Then when her thoughts were interrupted by her father entering the house, she rips the paper into many itty bitty pieces and redraws a less disturbing and appropriate graph. I thought the graphs were tied nicely into the story and the concept explained, but the subject matter of suicide bothered me.
If that does not bother you, and the students are older you may consider reading a chapter a day to your class. Although it has a story line, in my opinion, each chapter can stand alone if you just wanted to read a chapter to introduce a particular math concept. Personally, this is the approach I would use because there are chapters that are quite amusing such as "Percentages" and "Prime Numbers". The complete Table of Contents is below.
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240 pages | Publisher: LearningExpress | English | ISBN-10: 157685485X | PDF | 12,2 MB
This book is geared toward anyone wishing to overcome math anxiety—from high school and college students to adult test-takers hoping to score well on vocational and certification exams. Now updated and re-evaluated by math experts to ensure the most current lessons and practice exercises, this resource includes:essential math basics, from percentages and probability to square roots and decimals; tips for test-takers on how to tackle real-life math problems successfully; and "Before and after" tests to assist readers in tracking their progress
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Philosophical Introduction No One Reads
Welcome to Advanced Algebra II at Raleigh Charter High School! There are three keys to succeeding in this math class.
Do the homework
Ask questions in class if you don't understand anything.
Focus on understanding, not just doing the problem right. (Hint: you understand something when you say "Gosh, that makes sense! I should have thought of that myself!)
Here's how it works. The teacher gets up and explains something, and you listen, and it makes sense, and you get it. You work a few problems in class. Then you go home, stare at a problem that looks exactly like the one the teacher put up on the board, and realize you have no idea how to do it. How did that happen? It looked so simple when the teacher did it! Hmm….
So, you dig through your notes, or the book, or you call your friend, or you just try something, and you try something else, and eventually…ta-da! You get the answer! Hooray! Now, you have learned the concept. You didn't learn it in class, you learned it when you figured out how to do it.
Or, let's rewind time a bit. You dig through your notes, you just try something, and eventually…nothing. You still can't get it. That's OK! Come in the next day and say "I couldn't get it." This time, when the teacher explains how to do it, you will have that "Aha!" experience: "So that's why I couldn't get it to work!"
Either way, you win. But if you don't do the homework, then even if the teacher explains the exact same thing in class the next day, it won't help…any more than it helped the previous day.
The materials in this course-pack were originally developed for Mr. Felder's Advanced Algebra II classes in the 2001-2002 school year. Every single student in those classes got an A or a B on the North Carolina End of Course test at the end of the year. You can too! Do your homework, ask questions in class, and always keep your focus on real understanding. The rest will take care of itself
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Intermediate Algebra : Everyday ExplorAlice Kaseberg's respected Intermediate Algebra: Everyday Explorations, Fourth Edition, helps students build confidence in algebra. This text's popularity is attributable to the author's use of guided discovery, explorations, and problem solving, all of which help students learn new concepts and strengthen their skill retention. Known for an informal, interactive style that makes algebra more accessible to students while maintaining a high level of mathematical accuracy, Intermediate Algebra includes a host of teaching and learning tools that work together for maximum flexibility and a high student success rate. With the Fourth Edition, instructors have access to an Instructor's Annotated Edition that provides additional examples, as well as a robust Instructor's Resource Manual, algorithmic computerized testing, and an extensive online homework system.
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I am finishing my undergraduate degree and one thing I've noticed is how little weight has been placed upon the ability to read proofs, in basically all of my math courses. In first year calculus you ...
I'm seeking examples of concepts or theorems in school mathematics that are better understood when we generalize (when we deal with a more abstract concept where the former concept is a special case ...
I want examples of books that advance by first posting a hard problem, one that would be very difficult without a given idea and then proves this idea and the power of the idea by solving the problem.I am looking for information and I can't seem to find any about the usage of scalar and mixed product of vectors. I need some "in-depth" information, not only one sentence information to name their ...
Why is there such a big difference in math education between The Americas and (Europe and Asia) ? except for a few privileged who have the opportunity to access to math much earlier than the ordinary ...
I teach average-level high school students who have not had much beyond Algebra 1. I want to show them why induction makes sense. I want the sort of problem where it is intuitive that a statement isI'm currently in a math graduate program in the US and am applying for a Ph.D program in other universities (also in US). The problem of mine is I cannot find enough recommenders. My thought right nowI have a kid who just started middle school. I would like to introduce them to pre algebra. I would like her to know the fundamental concepts. Just like "What is mathematics" book, if there is a book ...
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This eBook again introduces the student to number patterns and sequences, including odd and even numbers, square numbers, square roots, cube numbers, cube roots, prime numbers, linear sequences, square number and cube number sequences, Fibonacci number sequences, triangular number sequences and sequences of the powers of 2, 3, 4, 5 and 10 significant scientific notation of the very large, the intermediate and the very small in terms of numbers and algebra through an exploration of and application of standard index form.
This eBook introduces the related subjects of Pythagoras' theorem and trigonometry, as Pythagoras' theorem relates to all right-angles triangles, trigonometry as it relates to angles and ratios of sine, cosine and tangent in right-angled triangles as well as angles of elevation and depression eBook on prime numbers, factors and multiples numbers covers factors, multiples, and prime numbers as well as highest common factor (HCF) and lowest common multiple (LCM) calculations and deliberations.
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Catching Up on Algebra
Kathie Wilson views students' math answers during class at Monte Vista Middle School in Camarillo, Calif. The teacher is using a program to help struggling students prepare for algebra.
—Ann Johansson for Education Week
More schools are using unconventional textbooks and other curriculum materials to help make struggling middle schoolers 'algebra-ready.'
A popular humorist and avowed mathphobe once declared that in real life, there's no such thing as algebra.
Kathie Wilson knows better.
Most of the students in her 8th grade class will be thrust into algebra, the definitive course that heralds the beginning of high school mathematics, next school year. The problem: Many of them are about three years below grade level. Ms. Wilson's job is to help...
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This TabStart page offers basic introductions and examples for using calculus to solve business problems. Resources from multiple universities allow for a wide breadth of perspectives here. Many of the site below present step-by-step processes for learning to utilize calculus for the benefit of better business practices.
Using Calculus To Solve Business Problems Examples
Business Calculus Example Problems
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This page from the Lamar University website includes business problems that require calculus to reach a solution. Also included here is an overview of the calculus skills needed to solve business problems.
Using Calculus in Business Examples
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The Carnegia Mellon University's Department of Mathematical Sciences contributes this worksheet that has examples of business problems that can be solved using principles of calculus. The worksheet walks students through the solution process step-by-step, using easy-to-understand language.
Using Calculus to Solve Economics Problems
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The Bethany Lutheran College website offers page that introduces economic terms and formulas within calculus. It explains the importance of maximizing gain while minimizing risk and how calculus can help in attaining that goal.
Business Calculus Resouces
Business Calculus Overview
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From the Stetson University website comes this resource that imparts students with the history, uses, and a basic description of calculus in business. Definitions of calculus-related terms are included in this overview as well.
Introduction to Calculus
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This eleven page PDF covers the introductory mathematics of business calculus. Examples and diagrams are included within the descriptive text based lecture.
Calculus for Business, Social, & Life Sciences
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This all-ecompassing resource was created for a 2010 course entitled Calculus for Business, Social, and Life Sciences at Broward College. It includes class notes, syllabus, assignments, tests and quizzes, and PowerPoint presentations.
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study, the author examined the relationship of probability misconceptions
to algebra, geometry, and rational number misconceptions and investigated the potential
of probability instruction as an intervention to address misconceptions in all
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01301022mediate Algebra
This clear, accessible treatment of mathematics features a building-block approach toward problem solving, realistic and diverse applications, and chapter organizer to help users focus their study and become effective and confident problem solvers. The Putting Your Skills to Work and new chapter-end feature, Math in the Media, present readers with opportunities to utilize critical thinking skills, analyze and interpret data, and problem solve using applied situations encountered in daily life. The Fourth Edition contains additional modeling and real-data coverage. A conceptual approach to functions is introduced early in the book and revisited in Ch. 5, 6, 7, 8, and 10 readers are exposed to a variety of realistic situations where functions are used to explain and record the changes we observe in the world. A discussion of solving linear equations in Chapter 2 now includes coverage of equations with no solution and equations with infinitely many solutions. The sections on determinants and Cramer's rule have been moved out of Chapter 4 into an appendix. This material can be covered with ease after Section 4.3
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University of Bolton
Description and Purpose of Module
To introduce the factors which underpin the design of basic structural elements. The students will use codes of practice and associated design aids, to enable simple structural elements to be designed in various materials. This module is also designed to further develop students' skills in mathematics, involving studying areas of higher level mathematics required for advanced levels of study.
Differential Calculus: Derivatives of basic functions; Product and quotient rules Chain rule for function of a function; Second derivative; Local maxima and minima Integral Calculus: Integrals of basic functions; The definite integral and the area bounded by the curve of a graph; Integration by simple algebraic substitution Matrix Algebra: Arithmetic of matrices.; Determinants and inverse matrices; Application to solution of simultaneous linear equations. Binomial Theorem Pascal's Triangle
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Geometry Seeing, Doing, Understanding
9780716743613
ISBN:
0716743612
Edition: 3 Pub Date: 2003 Publisher: W H Freeman & Co
Summary: Jacobs innovative discussions, anecdotes, examples, and exercises to capture and hold students' interest. Although predominantly proof-based, more discovery based and informal material has been added to the text to help develop geometric intuition.
Jacobs, Harold R. is the author of Geometry Seeing, Doing, Understanding, published 2003 under ISBN 9780716743613 and 0716743612. One hundred eighteen Geometry Se...eing, Doing, Understanding textbooks are available for sale on ValoreBooks.com, eight used from the cheapest price of $60.00, or buy new starting at $268
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MATH TOOLS NEWSLETTER - APRIL 1, 2006 - No. 38
Texas Instruments is offering at no charge their T^3 Online
Courses.
The list of online courses includes:
- Geometry with Cabri Jr. and the TI-84 Plus
Offers techniques to incorporate the TI-84 Plus and
Cabri Jr. into geometry lessons.
- Middle Grades Mathematics Using the TI-Navigator
Incorporate TI-Navigator into middle grades
mathematics classes.
- Algebra Using the TI-83 Plus/TI-84 Plus
Self-paced course offers new ideas for using
technology as a teaching tool.
- Calculus Using the TI-89
Enhance students' learning of calculus using the TI-89.
- High School Mathematics Using the TI-Navigator
Learn to incorporate TI-Navigator into mathematics
classes.
- Calculus Using the TI-83 Plus/TI-84 Plus
Techniques using the TI83 Plus/TI-84 Plus are
illustrated with standard calculus problems.
- Vernier/T^3 Introduction to Scientific Data Collection
and Analysis
Incorporate TI Data collection technology into the
science curriculum.
After taking a free workshop, come post ratings and reviews
of TI resources, share lesson plans and activities, and
tell stories. From the Math Tools index of all content on
the TI calculator, click on a highlighted tab's "More: lessons,
discussions, ratings, reviews,..." and then choose links
between the two thick grey lines.
Browsing: All Content on TI Calculator
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***FEATURED TPOW
tPoW: Patio Stones
Suzanne Alejandre
How many stones did Kathy need to buy to pave an area
in her yard?
***FEATURED TOOL
Tool: Flow Rates
Maryland Virtual High School
This simulation explores the rate of flow of a liquid
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***FEATURED TOOL
Tool: Three Scientists and Three Bandits
F. Permadi
A river-crossing problem in which the goal is to get both
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Tool: Deer Population
Maryland Virtual High School
Explore examples of exponential growth and decay, bounded
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effects of birth and death rates and food supply on a deer
population. Includes questions to guide students' explorations.
***FEATURED DISCUSSION
Looking for feedback to improve Graph Mole
SulanDun writes, "I'm looking for feedback from anyone who
teaches graphing (x,y) points on the coordinate plane."
***FEATURED DISCUSSION
MIMIO versus Smart Boards
Clyde asks, "What are the pros and cons for Mimio over Smart Board?"
***FEATURED DISCUSSION
Web Logs ("blogs") for teaching and learning mathematics
Craig writes, "Frances Harris (our librarian, and author of
the book 'I Found It On The Internet') recently showed me what
appears to be an effective use of a web log as a teaching tool
for a Canadian math teacher, Darren Kuropatwa. I encourage you
to investigate what this teacher has done, and to comment on it
in this discussion."
CHECK OUT THE MATH TOOLS SITE:
Math Tools
Register
Discussions
Research Area
Developers Area
Newsletter Archive
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The Math Forum @ Drexel -- 1 April 2006
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Mathematics
Algebra I
Algebra I is a foundational course for future mathematics and science courses. This course explores topics using a function approach and seeks to make connections between symbolic and graphical representatives. Topics include simplifying rational and polynomial expressions; solving linear equalities, inequalities, and systems; and solving quadratic equations and inequalities.
Geometry
Students explore plane figures and their properties in this study of Euclidean geometry. Students study relationships between congruent and similar figures, study and use deductive and inductive logic to understand the structure of geometry, and use technology to discover relationships. Topics include plane figures and their properties, transformational geometry, coordinate geometry, right triangle trigonometry, area, and volume.
Algebra II
Algebra II is a study of functions through algebraic and graphical approaches. This course encompasses the following topics: applications of linear functions, quadratic and polynomial functions, rational expressions, logarithms and exponents, trigonometry, conic sections, matrices, and transformations of functions. Students use graphing technology to discover relationships between symbolic and graphical representations.
Pre-Calculus
Pre-Calculus lays the foundation for the study of calculus. A calculator-based graphing approach is used to explore functions. Using graphs, students find characteristics of graphs such as extrema, domain, range, and limits of the function. Students graph using transformations. Properties of exponential, logarithmic, rational, and trigonometric functions are specifically studied. Students explore problems numerically, algebraically, and graphically. The study includes applications of matrices, parametric equations, and polar coordinates.
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to help protect our publishers' copyrighted material and prevent its unlawful distribution.
We are sorry for any inconvenience.
Higher order thinking, even in mathematics, is
not a unitary phenomenon. There is not one
form of higher order thinking but, rather, many
forms. It might be argued that each form is the
same complex of cognitive processes applied
to differing domains of knowledge and tasks.
However, as seen in this volume, the task and
knowledge domains differ so greatly that, even
if there are important commonalities in the
cognitive processes involved in complex thinking in those domains, pragmatically, it may be
more useful to consider the thinking tasks of
each domain in terms of their specificity, with
a focus on the tasks particular to the knowledge
of the domain and the forms of higher order
thinking critical to such tasks. Such is the case
with the critical evaluation of quantitative arguments.
The entrance of our society into the information age, with its ubiquity of computer-enhanced publishing and presentation graphics,
has led to a virtual bombardment of both
citizen and student with numerical data and,
moreover, with numerical data embedded not
in the context of separate treatises or texts on
mathematics, but in the context of informative
articles which often contain either central or
peripheral arguments that have essential
quantitative elements. In particular, the quantum leap in the ease with which presentation
graphics can be generated has resulted in constant exposure to information presented in
graphical form. The ability to think critically in
the presence of arguments with essential
quantitative elements, often graphical elements, has become an essential skill for educated citizens in our society and will be so
even more in the future. Instruction related to
the skills necessary for such quantitatively
oriented critical thinking will certainly enter
the curricula of school mathematics if the new
standards for mathematics as reasoning and
communication promulgated by the National
Council of Teachers of Mathematics ( NCTM, 1989) have their hoped-for impact.
Even with the emergence of these new
essential skills of critical thinking that utilize
tools for quantitative reasoning and graphical
interpretation in contexts that are not "mathematical" in the narrow or disciplinary sense,
little investigation has yet been done of the
nature of these cognitive skills, their characterization in information-processing terms,
and their interaction with noncognitive factors
such as anxiety about mathematics. Anecdotal
evidence suggests that mathematics anxiety
results in the paralysis of critical thinking
abilities when quantitative elements are included in the contexts in which individuals
must think critically. Further, it has been suggested that the presumed fact of this paralysis
of critical facilities, along with the wide spread
of such mathematics anxiety, provides at least
the possibility for use of numerical data and
presentation graphics precisely to eliminate
critical evaluation of arguments and claims.
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OVERVIEW The topic of my unit is equations and inequalities.
The purpose is to give students a solid competence in solving all types
of equations and a solid understanding of how variables and equations can
be utilized to solve real life problems. Equations and inequalities can
be most easily related to science, and I will cover vertical motion problems,
trajectory path problems, and the like. Current NCTM [National Council
of Teachers of Mathematics] standards encourage teachers to make learning
relevant and meaningful by showing real life connections with what is being
covered in the classroom. This unit offers excellent opportunities to show
students how algebra can be useful.
I also cover some language arts, by incorporating
weekly [or bi-weekly] journal entries. For the authentic assessment of
this unit, the students will be producing books. This project has students
utilizing their writing skills, artistic skills, and research and organization
skills]. I will expose the students to some history by showing a video
of Andrew Wiles quest to solve Fermat's last theorem [by NOVA].
My unit is designed for the 9th grade,
course 1. In mathematics, both 7th and 8th grade
cover a rather varied curriculum with little consistency from school to
school. The middle school years often review previous concepts and introduce
a deeper level of complexity and understanding of material. Solving equations
and competently manipulating integers and variables is a very basic, crucial
component for success in higher mathematics. Many schools track students
by ability level; thus, students in course 1 have a wide disparity in ability
and prior knowledge. This unit is important for all students and I would
utilize the same instructional techniques to approach any class. I may
add additional remediation work for students who don't possess the arithmetic
skills necessary to succeed.
LEARNING GOALS
Students will be able to competently solve 1st
degree equations, appropriate to course 1 learning level.
Students will be able to decipher word problems
and solve them as algebraic equations.
Students will solve inequalities with one variable.
Students will understand and be comfortable using
terms and symbols appropriate to this material.
Students will make connections to other subjects
and real life situations where equations, variables, and/or inequalities
would apply and be useful.
INSTRUCTIONAL OVERVIEW Mathematics is a difficult subject to teach
in creative ways. Math is a sequential process, in so much as, new subjects
and topics must be based on previous knowledge. I chose the sequence of
the activities because they make the most sense in that particular order.
There is also not much opportunity for students to 'discover' new math
concepts. Knowing that I8I stands for the absolute value of 8 cannot be
arrived at logically, given any amount of time or creative learning activity.
So my teaching will utilize direct instruction. However, there is room
for students to make connections and discoveries about relationships. Additionally,
after explaining the algorithm, there is a wide variety of interesting
ways to give students both independent and guided practice.
I will begin the unit with a lesson on simple
equations: how to set them up from a word problem and how to determine
what information is germane to the problem and what is irrelevant. I will
also review the additive inverse and multiplicative inverse properties,
previous concepts the students should be familiar with. I will make connections
to science, even at this early juncture. Any time we see a formula, it
involves variables. I will give examples of rate, vertical motion, and
acceleration problems that will incorporate equations.
I will proceed to the next step in complexity,
variables on both sides of the equations.
I did not include lessons for every day of the
unit, but rather I chose five sample days. There would be other lessons
utilizing other topics and incorporating other subjects as they fit with
this unit. However, in general, I looked at every day of the unit and tried
to vary the amount and type of direct instruction, seat work, group work,
etc. If one day is especially intellectually challenging, I may assign
no homework. If we spend an entire period on a group activity, I may assign
a more difficult cumulative review to be certain each individual student
is learning. I had a difficulty truly matching the type of instruction
with the content, only because this unit, like many in math, seems to focus
on acquiring algorithmic skills. The students need to be able to 'solve
correctly', not compare and contrast, defend their position, or analyze
and draw conclusions.
The next topic I will address is solving equations
with parentheses. For review, I will need to be certain the students remember
the order of operations. I chose a fun activity since my goal is to motivate
the learners to access prior knowledge. After showing examples and explaining
the method, I will have students work in small groups on guided practice.
In math especially, I think it helps some students to 'talk it out', preferably
to a peer. Explaining your thought process to others, defending your position,
and confronting disparities is an excellent way for students to process
and internalize new information.
Absolute values and how they are handled in
equations is the next topic. The next progressive step is solving equations
with more than one variable. This is a discoverable concept, because variables
are treated just like integers in equations. Therefore, on this day the
students will work in small groups and process the information inductively.
Finally, this unit will include inequalities
and solution sets. Basically, this involves many definitions and properties
that will be given to students via direct instruction. Students need to
be able to graph the inequalities also. This is something they should know
from previous classes, so the instruction will be more challenging and
offer more room for choice by the student, depending on how confident they
feel on this topic.
ASSESSMENT Assessment will be on going throughout the
unit. I will constantly observe the students to gauge their understanding.
Informal performance assessment means I will be gathering information and
assessing the comprehension as I teach and watch their responses, as the
students work on guided or individual practice, and as the students work
in their cooperative groups on math activities. The rationale is that I
will be able to more genuinely determine the students' progress. I am weary
of my own biases and I know I can't rely solely on something as subjective
as my own opinion. However, it feels the most reliable on a day to day
basis. I have to have a way to see if the students are 'getting it' before
the first quiz or unit test. By looking only at a piece of paper, a student
who does not understand may have guessed correctly or cheated; and conversely,
a student who does understand may have been distracted or had problem with
just that specific question. Also, by continually monitoring the students,
I can adjust my teaching, incorporating more remediation and review when
necessary.
I plan to use a weekly journal entry throughout
the course to encourage writing about math. I will continue to use these
entries to gauge student interest level, frustration level, and learning.
From my own experience, I know that writing in a journal gives students
more opportunity to speak and be honest than they would have in class.
This gives me one more way to assess what they know and how they are feeling
about the class. I also believe that in any subject it is vital to teach
students how to reflect on their learning and pause to think about their
progress. These journal articles will be collected weekly and worth 10%
of the total grade.
Homework will be assigned on a regular basis.
With math especially, it is imperative that students have mastered the
information before they can move forward to cover new material. The independent
practice of homework is an excellent way to reinforce the information learned
that day. Especially in a direct instruction or small group situation,
when a student watches someone else do it, it makes sense and they understand.
However, when one gets home and has to actually do it him/herself, a new
depth of knowing occurs. The homework will be collected and graded not
on a right/wrong concept, but rather, if they have made an honest effort
and completed 85% of the questions, they will be awarded full credit. This
grade will count for 20% of the students' class grade
Quizzes will be given every other week and will
count for 30% of the grade. Unit tests will be given after a section of
material is completed and will count for 40% of the students' total grade.
AUTHENTIC ASSESSMENT I will be having the students create a book
about the subjects we have covered in this unit. I have created an accompanying
rubric that will be distributed to the students at the beginning of the
project. I tried to identify which components are important and what material
to 'count' towards the assessment. I broke down the task into three areas,
math content, practice exercises, and organization. I felt that those areas
are the most relevant to the task being completed in a way that learning
will result. Differentiating between the levels within those categories
was difficult. I tried to construct the rubric in positive language that
would encourage students to achieve success. I will provide guidance and
be informally assessing the students as they work. Especially from students
who have not had experience with writing in math class, I may encounter
some resistance. I will collect each student's chapters of the book when
they complete them. RUBRIC SCALE
LESSONS #1
TITLE: Simple equations
GOAL: Define new terms and introduce unit.
OBJ: The learner will [henceforth, abbreviated
as Tlw] be able to define multiplicative and additive inverse.
Tlw know how to read, analyze, and solve word
problems as equations.
Tlw distinguish useful information from the
extraneous in a word problem.
NCTM STANDARDS:
#1 – Math as problem solving
#2 – Math as communication
#5 – Algebra
PROCEDURE:
Begin (10 minutes)
present word problem for students to ponder individually
[Tom can have 500 calories for lunch. A hamburger
without the roll has 320 and an average fry has 15 calories. If he eats
the burger, how many fries can he eat and have a total of 500 calories?]
On board, write what they think and how they want
to set up the equations.
Give correct labels for terms [but don't solve
yet]
Middle (20 minutes)
In small groups, have students work on setting
up equations from word problems, after determining the relevant information.
(10 min.)
In large group, give notes on multiplicative and
additive inverse. (10 min)
End (15 minutes)
Return to board, show how to use multiplicative
and additive inverse to solve the original problem we set up.
In small group, solve equations they had set up
from earlier.
ASSESSMENT: - informal observations of students working
in groups. - group worksheet- homework
LESSON #2
TITLE: Variables on both sides of an equation.
GOAL: Students will be able to confidently
and correctly solve equations
with variables on both sides.
OBJ: Tlw solve correctly equations with variables
in both members.
Tlw effectively work in a small group to accomplish
their task.
Tlw contribute to the class discussion their
ideas on how to solve a
specific type of equation.
NCTM STANDARDS:
#1 – Math as problem solving
#2 – Math as communication#5 – Algebra
PROCEDURE:
Begin (10 minutes)
Go over homework questions.
Give new, challenging question to review and get
their heads back in the game. [Rachel has 6 more than twice as many newspaper
customers than when she started. She now has 98 customers. How many did
she have when she started?]
Middle (10 minutes)
Ask for input, how do students think we would solve
equations with variables on both sides of the equal sign?
Explain/give notes and examples
Carousel Activity (20 minutes)
On large sheets of easel paper, I will prepare
ahead of time problems to be solved.
Students work in small groups, beginning at one
paper and work the problem until I say 'switch'.
All groups rotate clockwise to the next sheet of
paper. They review the work done by the previous group, then continue to
work the problem.
If they finish one, they sign it [all groups have
different colored markers] and begin the next problem.
One important rule is 'no making intentional mistakes,
because you never know when I will say switch. I may let you work the whole
problem or maybe only a minute'.
Each completed problem is worth 10 points per group.
Conclusion (5 minutes)
- Debrief activity.
ASSESSMENT
Carousel activity problems.
Informal performance of observing everyone participating.
LESSON #3
TITLE: Solving equations with parentheses.
GOAL: Students will be able to correctly solve
equations containing
parentheses.OBJ: Tlw create word problems that can be turned
into equations.
Tlw be able to correctly solve equations with
parentheses.
Tlw be able to recite the correct order of
operations.NCTM STANDARDS:
#1 – Math as problem solving
#2 – Math as communication
#4 – Mathematical connections
#5 - Algebra
PROCEDURE:
Begin (15 minutes)
BINGO Game with flash cards to review order of
operations.
Middle (10 minutes)
Explain/give notes on how to solve equations containing
parentheses.
Small Group Activity (20 minutes)
See worksheet. [Create word problems involving
equations that other students can solve].
ASSESSMENT
Questions created by groups.
Observe students working in groups/ see who is
participating and knowledgeable.
Cumulative review for homework.
LESSON #4
TITLE: Evaluating equations with more than
one variable.
GOAL: Students will understand how to evaluate
equations with more than one variable.
OBJ: Tlw be able to accurately solve equations
with more than one variable.
Tlw analyze problems using inequalities.
Tlw correctly evaluate problems with inequalities.NCTM STANDARDS:
#1 – Math as problem solving
#2 – Math as communication
#5 – Algebra
PROCEDURE:
Begin (15 minutes)
Individually, each students completes the worksheet
of all the questions made by students yesterday.
Middle (20 minutes)
Small groups are given tug-o-war problem to try
to solve.
End (10 minutes)
Debrief activity. If a group thinks they have the
correct answer, have them stand up and explain how they found it. Have
students tell about how they approached the problem, how to get started,
etc.
ASSESSMENT
- Worksheet counts as a quiz grade.
Informally observe and interact with students as
they try to solve the problem.
Homework.
LESSON #5 TITLE: Authentic assessment. GOAL: Students will create one chapter for
a book on equations.OBJ: Tlw correctly identify important rules
and information to include in
their book.
Tlw create relevant examples and an correct answer
key.
NCTM STANDARDS:
#2 – Math as communication
#4 – Mathematical connections
#5 - Algebra
PROCEDURE:
(One class period)
See handout
ASSESSMENT- Each students' chapter will be graded according
to the rubric distributed with the assignment.
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Home
Finally, there is a math instruction system that ensures that students get the best math preparation possible! Students master the exact topics recommended for algebra readiness by the National Math Advisory Panel. No extra fluff or side topics to confuse or distract. Closely follows state standards.
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MatBasic Desciption:
The MatBasic is the language of mathematical calculations. Strong mathematical base: full complex arithmetic's, linear algebra and operations, nonlinear methods and graphical visualization.
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MatBasic is a calculating, programming and debugging environment using special high-level programming language designed for solving mathematical problems. MatBasic programming language allows execution of difficult mathematical calculations, involving an exhaustive set of tools for the purpose of creation of algorithmic programs. It also allows a user to abstract his mind from the type of working data which can be either real-valued, or complex numbers, or matrices, or strings, or structures, etc. The MatBasic supports both the text and the graphical data visualization.
MatBasic is fast language interpreter and its environment application field is wide: from solving the school problem to executing different engineering and mathematical computations. The MatBasic programming language combines; simplicity of BASIC language, flexibility of high-level languages such as C or Pascal and at the same time turns up to be a powerful calculation tool. By means of a special operating mode, Matbasic it is possible to use as the powerful calculator. Also the MatBasic can be used for educational purpose as a matter of studying the bases of programming and raising algorithmization skills.
Differential Equations is a handy application designed to help you solve equations with minimum effort. The program enables you to specify the coefficients by using the keyboard on the main window.It is designed to calculate the solution to homogeneous...
Linear Algebra Decoded is a program designed to assist students in the subject of Linear Algebra, although it has features for professors, including the ability to generate tests where problems are customized and solutions are in the field of integers....
This script defines the Matrix class, an implementation of a linear algebra matrix. Arithmetic operations, trace, determinant, and minors are defined for it. This is a lightweight alternative to a numerical Python package for people who need to do...
System of Equations is an educational software designed to provide teachers with an automated generator of equations for exams.The final quiz can be customized to include unique solutions (or no solutions at all), integer or fraction answers, custom...
Efficient Java Matrix Library or EJML is an Java based linear algebra library designed to help you with the manipulation of dense matrices. Its design goals are: to be as computationally efficient as possible for both small and large matrices and to be...
The Bluebit .NET Matrix Library provides classes for object-oriented linear algebra in the .NET platform. It can be used to solve systems of simultaneous linear equations, least-squares solutions of linear systems of equations, eigenvalues and...
Diofantos is a library for the solution of equations that arise in physics. It deals with ordinary differential equations (ODE), partial differential equations (PDE), including grid generation, and integral equations.
centralApp Controller was built as a small and useful app that uses Ordinary Differential Equations to find a solution to a body under a central force.centralApp Controller was developed with the help of the Java programming language and can run on...
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6. Inequalities: Can't quite get enough?
Chapter 6. Inequalities: Can't quite get enough?
Sometimes enough is enough... and sometimes it's not.
Have you ever thought, "I just need a little bit more"? But what if someone gave you more than just a bit more? Then you'd have more than you need...but life might still be pretty good. In this chapter, you'll see how Algebra lets you say, "Give me a little more... and then some!" With inequalities, you'll go beyond two values and allow yourself to get more, or less.
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Beginning and Intermediate Algebra
9780321442338
ISBN:
0321442334
Edition: 4 Pub Date: 2007 Publisher: Addison-Wesley
Summary: The Lial series has helped thousands of students succeed in developmental mathematics through its approachable writing style, relevant real-world examples, extensive exercise sets, and complete supplements package.
Lial, Margaret L. is the author of Beginning and Intermediate Algebra, published 2007 under ISBN 9780321442338 and 0321442334. Four hundred twenty six Beginning and Intermediate Algebra textbooks... are available for sale on ValoreBooks.com, one hundred forty two used from the cheapest price of $0.47, or buy new starting at $46
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0328489727
9780328489725
EnVisionMATH:Envision a math program that engages your students as it strengthens their understanding of math. enVisionMATH uses problem based interactive learning and visual learning to deepen conceptual understanding. It incorporates bar diagram visual tools to help students be better problem solvers, and it provides data-driven differentiated instruction to ensure success for every student. The best part, however, is that this success is proven by independent, scientific research. Envision more, enVisionMATH!
Back to top
Rent EnVisionMATH 1st edition today, or search our site for Randall I textbooks. Every textbook comes with a 21-day "Any Reason" guarantee. Published by Scott Foresman.
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Beginning graduate students in mathematics and other quantitative subjects are expected to have a daunting breadth of mathematical knowledge. But few have such a background. This 2002 book will help students to see the broad outline of mathematics and to fill in the gaps in their knowledge. The author explains the basic points and a few key results of all the most important undergraduate topics in mathematics, emphasizing the intuitions behind the subject. The topics include linear algebra, vector calculus, differential geometry, real analysis, point-set topology, probability, complex analysis, abstract algebra, and more. An annotated bibliography then offers a guide to further reading and to more rigorous foundations. This book will be an essential resource for advanced undergraduate and beginning graduate students in mathematics, the physical sciences, engineering, computer science, statistics, and economics who need to quickly learn some serious mathematics. less
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Category:Mathematics study guides
This category contains books that are mathematics study guides: books that prepare students for standardized exams on mathematics, as well as texts that follow a specific curriculum covering mathematics.
Related categories
The following 12 related categories may be of interest, out of 12 total.
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PRE-ALGEBRA AND ALGEBRA teaches you how to solve multiple choice, short-answer, and show-your-work test questions. Become comfortable with these skills so you're ready for your test! A great book for students...
$ 7.29
How many times do runners go around a 400 meter track in a 1,000 meter race? Author Stuart Murray explores the world of track and field sports in this new title in the SCORE WITH SPORTS MATH series. Find out...
$ 5.79Which driver was faster? How long is each lap at a race track? How much faster are cars now, compared to the first race cars? Author Stuart Murray uses math to explore the fast paced world of racing. He also...
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GEOMETRY: ACE YOUR MATH TEST introduces all the topics students need to know about geometry. Includes great test-taking tips for solving multiple choice, short-answer, and show-your-work questions. A great book...
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Refresh your math skills with this title in the SCORE WITH SPORTS MATH series. Learn how to find out the perimeter of the penalty box on a soccer field, how to figure out statistics, and how many penalty shots...
$ 5.79How do you figure out a player's batting average? Which stadium has the biggest outfield? SCORE WITH BASEBALL MATH uses a variety of techniques to solve a variety of baseball-related math questions. Also learn...
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This book is carefully designed to be used on a wide range of introductory courses at first degree and HND level in the U.K., with content matched to a variety of first year degree modules from IEng and other...
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Algebraic Connections
Mathematics
Curriculum Framework
Revised 2004
Course Title: Algebraic Connections (Third-year Course)
Course/Unit Credit: 1
Course Number:
Teacher Licensure: Secondary Mathematics
Pre-requisite: Algebra I/Geometry or Equivalents
Grades: 9-12
ALGEBRAIC CONNECTIONS
Algebraic Connections is designed for students who have successfully completed Algebra I (or its equivalent) and Geometry (or its equivalent).
Algebraic Connections will build on a foundation of previously taught Algebra and Geometry concepts, enlarge upon the development of each
concept, and introduce new concepts. Students will be expected to evaluate data, interpret data, analyze linear functions, write and solve
equations and inequalities and their systems, and use algebraic, graphical, and numerical methods for analysis. Arkansas teachers are
responsible for integrating technology in the course work for Algebraic Connections.
Strand Standard
Probability and Statistics
1. Students will evaluate and interpret data, make predictions based on data, and apply basic understanding of
probability to solve real-world problems.
Linear Function
2. Students will analyze linear functions by investigating rates of change, intercepts, and zeros.
Solving Equations and
Inequalities
3. Students will write and solve, with and without appropriate technology, equations, inequalities, systems of
equations and systems of inequalities.
Nonlinear Function
4. Students will use algebraic, graphical and numerical methods to analyze, compare, transform, and solve nonlinear
equations (absolute value, quadratic, and exponential).
1Probability and Statistics
CONTENT STANDARD 1. Students will evaluate and interpret data, make predictions based on data, and apply basic understanding of
probability to solve real-world problems.
PS.1.AC.1 Apply counting techniques to determine the number of outcomes
• tree diagram
• fundamental Counting Principle
• permutations (with and without repetition)
• combinations
PS.1.AC.2 Conduct and interpret simple probability experiments using
• manipulatives (spinners, dice, cards, coins)
• simulations (using random number tables, graphing calculators, or computer software)
PS.1.AC.3 Compute and display theoretical and experimental probability including the use of Venn diagrams.
• simple
• complementary
• compound (mutually exclusive, inclusive, independent and dependent events)
PS.1.AC.4 Apply probability to real-world situations such as weather prediction, game theory, fair division, insurance tables, and election
theory.
PS.1.AC.5 Interpret and evaluate, with and without appropriate technology, graphical and tabular data displays for
• consistency with the data
• appropriateness of type of graph or data display
• scale
• overall message
2Linear Functions
CONTENT STANDARD 2. Students will analyze linear functions by investigating rates of change, intercepts, and zeros.
LF.2.AC.1 Create, given a graph without an explicit formula, a written or oral interpretation of the relationship between the independent
and dependent variables
LF.2.AC.2 Create, given a situation, a graph that models the relationship between the independent and dependent variables
LF.2.AC.3 Determine the independent and dependent variables, domain and range of a relation from an algebraic expression, graph, set
of ordered pairs, or table of data
LF.2.AC.4 Interpret the rate of change (slope) and intercepts within the context of everyday life (Ex. telephone charges based on base
rate (y-intercept) plus rate per minute (slope))
LF.2.AC.5 Calculate the slope given
• two points
• a graph of a line
• an equation of a line
LF.2.AC.6 Determine, using slope, whether a pair of lines are parallel, perpendicular, or neither
LF.2.AC.7 Write an equation given
• two points
• a point and y-intercept
• an x-intercept and y-intercept
• a point and slope
• a table of data
• the graph of a line
LF.2.AC.8 Graph, with and without appropriate technology, functions defined as piece-wise and step
3
Algebraic Connections: Linear Functions
Mathematics Curriculum Framework Revision 2004
Arkansas Department of Education
Key: LF.2.AC.1 = Linear Functions. Standard 2. Algebraic Connections. 1st Student Learning Expectation
Solving Equations and Inequalities
CONTENT STANDARD 3. Students will write and solve, with and without appropriate technology, equations, inequalities, systems of
equations and systems of inequalities.
SEI.3.AC.1 SLE 1. Solve, with and without appropriate technology, multi-step equations and inequalities with rational coefficients
numerically, algebraically and graphically
SEI.3.AC.2 SLE 2. Solve, with and without appropriate technology, systems of two linear equations and systems of two inequalities
numerically, algebraically and graphically
SEI.3.AC.3 SLE 3. Solve linear formulas and literal equations for a specified variable
SEI.3.AC.4 Use, with and without appropriate technology, coordinate geometry to represent and solve problems including midpoint, length
of a line segment and Pythagorean Theorem
SEI.3.AC.5 SLE 5. Determine and describe, with and without appropriate technology, the resulting change in the perimeter, area, and
volume when one or more dimensions change (apply this idea in solving real world problems)
SEI.3.AC.6 SLE 6. Apply linear, piece-wise and step functions to real world situations that involve a combination of rates, proportions and
percents such as sales tax, simple interest, social security, constant depreciation and appreciation, arithmetic sequences,
constant rate of change, income taxes, postage, utility bills, commission, and traffic tickets
4
Algebraic Connections: Solving Equations and Inequalities
Mathematics Curriculum Framework Revision 2004
Arkansas Department of Education
Key: SEI.3.AC.1 = Solving Equations and Inequalities. Standard 3. Algebraic Connections. 1st Student Learning Expectation
Nonlinear Functions
CONTENT STANDARD 4. Students will use algebraic, graphical and numerical methods to analyze, compare, transform, and solve
nonlinear equations (absolute value, quadratic, and exponential).
NF.4.AC.1 Factor polynomials
• greatest common factor
• binominals (difference of squares)
• trinomials
• combinations of the above
NF.4.AC.2 Simplify, add, subtract and multiply radical expressions
NF.4.AC.3 Solve, with and without appropriate technology, quadratic equations with real number solutions using factoring and the
quadratic formula
NF.4.AC.4 Determine the independent and dependent variables, domain and range of a relation from algebraic equations, graphs, sets of
ordered pairs, or tables of data
NF.4.AC.5 Identify and apply nonlinear functions to real world situations such as acceleration, area, volume, population, bacteria,
compound interest, percent depreciation and appreciation, amortization, geometric sequences, etc.
NF.4.AC.6 Recognize function families including vertical shifts, horizontal shifts and reflections over the x-axis
5
Algebraic Connections: Nonlinear Functions
Mathematics Curriculum Framework Revision 2004
Arkansas Department of Education
Key: NF.4.AC.1 = Nonlinear Functions. Standard 4. Algebraic Connections. 1st Student Learning Expectation
Algebraic Connections Glossary
Absolute Value Function A function described by y = │x│ or f(x) = │x│
Binomial In algebra, an expression consisting of two terms connected by a plus or minus sign Ex. 4a+6
Combination Subsets chosen from a larger set of objects in which the order of the items doesn't matter (Ex. the number of different
committees of three that can be chosen from a group of twelve members)
Coordinate Geometry Geometry based on the coordinate system
Coordinate System A method of locating points in the plane or in space by means of numbers (A point in the plane is located by its
distances from both a horizontal and a vertical line called the axes. The horizontal line is called the x-axis. The vertical
line is called the y-axis. The pairs of numbers are called ordered pairs. The first number, called the x-coordinate,
designates the distance along the horizontal axis. The second number, called the y-coordinate, designates the
distance along the vertical axis. The point at which the two axes intersect has the coordinates (0, 0) and is called the
origin.)
Dependent Variable A variable whose value depends upon, or is affected by, the value of another variable
Domain Set of all first coordinates from the ordered pairs of a relation
Equation A sentence that states that two mathematical expressions are equal
Experimental Probability A probability determined by performing tests or experiments and observing the outcomes
A formula whose dependent variable is defined in terms of the independent variable
Explicit Formula
Ex. y = 2x – 3
Exponential Equation An equation in which variables occur in exponents
Function Families Functions whose graphs are variations of the parent function
Fundamental Counting If event M can occur in m ways and is followed by an event N that can occur in n ways, then the event M followed by
Principle the event n can occur in m · n
Independent Variable The variable whose value does not depend upon, nor is affected by, the value of another variable
Inequality Statements indicating that two quantities are not equal, utilizing symbols > (greater than) or < (less than) and ≥ or ≤.
Linear Formulas A formula whose graph is a line
Literal Equations An equation in which the coefficients and constants are represented by letters
Midpoint of a Segment The point that divides the segment into two congruent segments
Nonlinear Functions Functions of degree higher than the first degree
Parallel Lines Lines in the same plane that do not intersect
Permutation An arrangement of a given number of objects from a given set in which the order of the objects is significant
6
Algebraic Connections Glossary
Mathematics Curriculum Framework Revision 2004
Arkansas Department of Education
Perpendicular Lines Lines that intersect and form right angles
Piece-Wise Function Function using different rules for different parts of the domain
Polynomial An algebraic expression of the form a0xn + a1xn-1 + … + an, where a0, a1, …, an are real numbers, a0 is not zero, and n
is a nonnegative integer
Pythagorean Theorem The sum of the squares of the lengths of the legs of a right triangle is equal to the square of the length of the
hypotenuse.
Quadratic Equations An equation of the form ax2 + bx + c = 0
Quadratic Formula The solutions of a quadratic equation of the form ax2 + bx +c = 0, where a ≠ 0, are given by the quadratic formula,
− b ± b 2 − 4ac
which is x =
2a
Radical Expression An expression that contains a radical
Range The set of all second coordinates from the ordered pairs of a relation
a
Rational Coefficients A number preceding a variable of the form where a is any integer and b is any integer except zero
b
Slope The ratio of vertical change over the corresponding horizontal change (rise/run)
Step Function The function whose graph is a series of disjoint line segments or steps
Systems Of Equations A set of equations with the same variables
Systems Of Inequalities A set of inequalities with the same variables
Theoretical Probability Theoretical Probability is determined using mathematical methods to provide an idea of what outcomes might occur in
a given situation
Transformation The process of changing one configuration or expression into another in accordance with a rule
(Common geometric transformations include translations "slides", rotations "turns", and reflections "flips")
Tree Diagram A diagram used to show the total number of possible outcomes in a probability experiment
Trinomial A polynomial with three terms
Venn Diagram A Venn diagram is a pictorial way of showing the relations among sets or events.
The x –coordinate of the point at which a graph crosses the x-axis
X-Intercept
(The x-intercept is represented as an ordered pair (x, 0).)
The y –coordinate of the point at which a graph crosses the y-axis
Y-Intercept
(The y-intercept is represented as an ordered pair (0,y).)
7
Algebraic Connections Glossary
Mathematics Curriculum Framework Revision 2004
Arkansas Department
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Archives
Tuesday, January 23, 1912: Sleigh rides are a thing of the past now. There is no danger of freezing yourself now. I'm at a standstill in Algebra.
Her middle-aged granddaughter's comments 100 years later:
Maybe Grandma was struggling in algebra because the textbook was confusing.
To get a sense of how algebra textbooks have changed over the past 100 years. I compared the promotional materials for an algebra textbook published in 2012 with the information in the preface of an algebra textbook published in 1912.
Of course the book published in 2012 is brightly colored with lots of pictures and figures (and there are numerous supplemental online resources). The 1912 book is black and white with only a few pictures.
The 1912 book looks denser than then new one. However, the chapter titles are similar. For example both books had a chapter called Factoring.
Purpose
2012: ". . . builds essential skills one at a time by breaking the mathematics down into manageable pieces. This practical "building block" organization makes it easy for students to understand each topic and gain confidence as they move through each section."
1912: "The main object in writing this School Algebra has been to simplify principles and give them interest, by showing more plainly, if possible, than has been done heretofore, the practical or common-sense reason for each step or process."
Problems
2012: "Student Practice problems are paired with every example in the text . . ."
1912: "A large number of problems. . . ."
Review and Reinforce
2012: "Students will find many opportunities to check and reinforce their understanding of concepts throughout the text . . ."
1912: "Numerous and thorough reviews of the portion of the Algebra already studied are also called for."
Monday, January 8, 1912: A regular snow storm set in this afternoon. How beautiful the snowflakes looked as they descended to ground. Am now able to extract the cube root without difficulty. Pa came for Jimmie and me this evening.
As a parent who had strong opinions during the "math wars" of the 1990's about what should be included in (and, perhaps more importantly, what should be excluded from) the math curriculum, I'm fascinated by early 20th century math text books.
In textbooks from a hundred years ago, there is more focus on calculation than there is today but they also contain some cool word problems —Cube roots are a great example of this.
Here are some cube root word problems from a 1911 textbook called Kimball's Commercial Arithmetic:
1. If a cubical block contains 21,952 cubic inches, how many square feet of paper will be required to cover the entire surface?
2. The entire surface of a cubic block is 384 square feet. How many 1-foot cubes can be cut from the block, allowing nothing for waste?
3. A cubical cistern holds 400 bbl. of water. How deep is it?
4. What are the dimensions of a cube that has the same volume as a box 2 ft. 8 in. long, 2 ft. 3 in. wide, and 1 ft. 4 in. deep?
The texts also contained lots of "tricks" and principles.
Principles
1. The cube of a number cannot have more than three times as many figures as its root, nor but two less.
2. If a number is separated into periods of three figures each beginning at the units' place, the number of figures in the cube root will be the same as the number of periods.
I thought of several easy cube roots (100 is the cube root of 1.000.000. and 5 is the cube root of 125.), and decided that the principles are correct. (Of course they were correct—but somehow I felt better after I thought of a few problems to confirm it.)
If you're a math geek, here are some previous posts that explored the math curriculum and problems from a hundred years ago.
Friday, January 5, 1912: It's so cold now. How quickly the weather has changed. I didn't mind it at all in school for the stove sent forth a regular shower of heat. Was rather freezy coming home and the wind a blowing. We've come to the extracting of the cube root in arithmetic and I can't see very good the way it's done. But suppose I can after I get some kind of an explanation from somebody and not from the book alone. We had these things several years ago, but my idea of them is now rather hazy.
Cube root example from Kimballs Commercial Arithmetic (1911). If you want to read the example, click on the picture to make larger.
Her middle-aged granddaughter's comments 100 years later:
Whew, math has changed a lot over the years.
I never learned how to do cube roots when I took math in the 1960's and 70's, but I can remember struggling with square roots. My children can manually calculate neither square roots nor cube roots, but they do know how to calculate them using a calculator.
Has the curriculum been dumbed down over the years? . . . or has the tedium been removed so that students have time to grapple with more complex problems?Friday, November 3, 1911: Nothing very much doing today. Didn't get any of my lessons out this evening. I wasn't in a very studious mood.
Her middle-aged granddaughter's comments 100 years later:
Grandma so often worried about school—though she often seemed to not quite get around to studying. I wonder if Grandma ever considered going to college after she graduated from high school.
I suppose college seemed beyond the realm of possibilities to a farm girl in rural central Pennsylvania a hundred years ago. Less than 3% of the people were college graduates back then—and the rate would have been much lower than that for women.
There was an article in the November 6, 1911 issue of Youth's Companion about why men—the article didn't mention women—attended college.
Excerpts from
The College in the Service of the Nation
by
Arthur Twining Hadley (President of Yale University)
The American college serves the nation in three conspicuous ways: first, by training men for public office; second by establishing standards of professional success in private business which lead men to do what the public needs, instead of trying merely to make money for themselves; third, by promoting the search for the truth and the spirit of discovery and invention that are necessary for national progress. . .
When we think of public service, we naturally think of these meanings. So did the founders who established the earliest colleges. The founders of the collegiate school at New Haven [Yale] stated in the charter of 1701, that it was the purpose of their institution to fit youth for employment in church and state. . .
Every man, whatever his business can conduct it in such a way as to serve the public. The lawyer who pleads in the courts ought to be doing the same sort of service to the public as the judge who decides the cases. The physician can render and ought to render the same service in providing for public health that the watchman or the signalman provides for public security against accidents.
Any business however simple in its character, where a man thinks first of the work that he is doing and only secondarily of the pay that he is going to get deserves the name of profession.
One of the most valuable things that our colleges can do is to emphasize this ideal of public service, so that the professional element will count for more in men's lives and the trade element will county for less.
A third way in which our colleges can render public service is by keeping alive the spirit of exploration and discovery-the spirit which leads men to test new methods of action and to pursue new lines of truth. I believe that this is the most important and necessary service of all.
So far as our colleges teach their students the love of pursuing truth for truth's sake, without regard to the material reward, they fulfill their highest and most necessary duty in the service of the nation.
Thursday, November 2, 1911: Am now taking up the study of Rhetoric, so if my English is not all together proper now is the time to expect a change for the better.
Recent photo of building that once housed McEwensville High School.
Her middle-aged granddaughter's comments 100 years later:
Rhetoric is the art of writing and speaking. It includes the study of writing rules. I found a 1911 Rhetoric textbook and it includes sections on proper sentence structure (no dangling participles!) and punctuation (sentence structure must be understood to punctuate correctly!).
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Hi fellow students, I heard that there are various programs that can help with us studying,like a teacher substitute. Is this really true? Is there a program that can aid me with math? I have never tried one thus far, but they shouldn't be hard to use I think. If anyone tried such a program, I would really appreciate some more detail about it. I'm in Remedial Algebra now, so I've been studying things like need purchase product algebrator algebra 1 11 including geometry and it's not easy at all.
What is your problem about need purchase product algebrator algebra 1 11 including geometry? Can you give me more details on the problems you are experiencing regarding need purchase product algebrator algebra 1 11 including geometry? I myself had experienced many problems on my algebra tests. I tried hiring a/an math coach to teach me, but it was not cheap. The most convenient way to help you answer your algebra problems is by using a fine program. Among all math programs I encountered, it's the Algebrator that really surpassed my expectations. Aside from giving errors-free answers, it also displays a step-by-step solution that led to the answer. It's really a fine software to learn from but remember to avoid copying solutions from the software because it would really not help you if you'd just copy the solutions. Use it just to give an idea how to solve certain algebra problems.
My parents could not afford my college fees, so I had to work in the evening, after my classes. Solving equations at the end of the day seemed to be impossible for me at those times. A friend introduced Algebrator to me and since then I never had trouble solving my questions.
algebra formulas, linear inequalities and mixed numbers were a nightmare for me until I found Algebrator, which is really the best algebra program that I have ever come across. I have used it frequently through several algebra classes – Remedial Algebra, Algebra 1 and College Algebra. Just typing in the algebra problem and clicking on Solve, Algebrator generates step-by-step solution to the problem, and my math homework would be ready. I really recommend the program.
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contoh cara membuat curriculum vitaeDelivering cutting edge education through intensive curriculum, Vishwashanti Gurukul Schools have become a trusted name. Considered as one of the best boarding CBSE schools in Pune, these schools focus not on mere dissemination of information in the classrooms but imparting a comprehensive training for life through a 'harmonious development of the body, mind and soul'.To know more visit:
Curriculum Reference Guide
HONORS ALGEBRA II
AND
TRIGONOMETRY
Students are required to master the Virginia Standards of Learning for each course in which they are
enrolled. This guide is designed to give students and parents an overview of the course requirements as
well as the materials needed for each class.
A list of the objectives associated with the course and the timeline in which these objectives will be taught
have been compiled in this document.
Students are encouraged to keep the Curriculum Reference Guide for each course and to refer to the
information throughout the year. It is our hope that this document will be a valuable reference that will
assist parents and students in having a successful school year.
The Algebra II/Trigonometry course is composed of advanced algebraic concepts including: equations,
inequalities, systems of equations and inequalities, functions, polynomials, statistics, complex numbers,
rational and radical expressions, permutations and combinations, and sequences and series, Trigonometric
and Circular functions, their equations, inequalities, and graphs. Included is practical problem solving using
the Pythagorean Theorem, the Law of Sines and the Law of Cosines. The course will be mastered through
the use of oral and written communication concerning the language of algebra, logic of procedures, and
interpretation of results. Graphing utilities (graphing calculators, computers, and computer-based labs) will
be used by teacher and students. In this course, students will complete at least one written and oral
presentation each nine weeks.
Course Expectations
Course Requirements:
Students enrolled in Honors Algebra II and Trigonometry should have successfully completed Algebra I
with a B average or higher and Honors Geometry or Geometry with a B average or higher.
Grading Rationale:
There will be a minimum of five (5) quizzes and three (3) tests per nine-weeks grading period which may be
any combination of unit tests and projects. Unit tests will be administered after the completion of each unit
as shown in the course syllabus.
Classwork
Homework
Quizzes (Special Assignments, Short Term Projects)...ALGEBRA 2
and
TRIGONOMETRY
Ann Xavier Gantert
To Jessica Alexander and Uriel Avalos in gratitude for their invaluable work in preparing this text for
publication.
Ann Xavier Gantert
The author has been associated with mathematics education in New York State as a teacher and an
author throughout the many changes of the past fifty years. She has worked as a consultant to the
Mathematics Bureau of the Department of Education in the development and writing of Sequential
Mathematics and has been a coauthor of Amsco's Integrated Mathematics series, which accompanied that
course of study.
Algebra 2 and Trigonometry is a new text for a course in intermediate algebra and
trigonometry that continues the approach that has made Amsco a leader in presenting mathematics in a modern, integrated manner. Over the last decade, this
approach has undergone numerous changes and refinements to keep pace with
ever-changing technology.
This textbook is the final book in the three-part series in which Amsco parallels
the integrated approach to the teaching of high school mathematics promoted by
the National Council of Teachers of Mathematics in its Principles and Standards for
School Mathematics and mandated by the New York State Board of Regents in the
Mathematics Core Curriculum. The text presents a range of materials and explanations that are guidelines for achieving a high level of excellence in their understanding of mathematics.
In this book:
The real numbers are reviewed and the understanding of operations with irrational numbers, particularly radicals, is expanded.
The graphing calculator continues to be used as a routine tool in the study of
mathematics. Its use enables the student to solve problems that require computation
that more realistically reflects the real world. The use of the calculator replaces the
need for tables in the study of trigonometry and logarithms.
Coordinate geometry continues to be an integral part of the visualization of
algebraic and trigonometric relationships.
Functions represent a unifying concept throughout. The algebraic functions
introduced in Integrated Algebra 1 are reviewed, and exponential, logarithmic, and
trigonometric functions are presented.
Algebraic skills from Integrated Algebra 1 are maintained, strengthened, and
expanded as both a holistic approach to mathematics and as a bridge to advanced
studies.
Statistics includes the use of the graphing calculator to reexamine range, quartiles, and interquartile range, to introduce measures of dispersion such as variance
and standard deviation, and to determine the curve that best represents a set of
bivariate data...
Honors College Algebra and Trigonometry
Summer Prep Work
Summer prep work represents "prerequisite knowledge" that should be mastered in prior
curriculum and will not be retaught. This packet involves foundation skills necessary for
success in this course. Several topics from Algebra II have been highlighted for summer
work. These topics involve essential skills students often need to brush up on before starting
Precalculus. For each student's benefit, the following assignments are required and will be
collected on the first day of school. These assignments will be taken as a grade. You can
anticipate that on the first day of school, a test will be administered over this material to
determine student readiness for this course.
The version of this assignment posted on the LTHS Summer Assignment Home Page will
include a scanned "prerequisite" chapter from the textbook we will be using for the course.
Students may find the text and samples beneficial in helping answer these questions. You
may also consider going online for tutoring on topics. One good resource is the website
There are tutorial videos you can watch and practice sessions for
many math topics and more. You can find sessions by typing your topic name into the search
bar. Forgetting does not mean that you are off the hook! Please look up what you need
refreshing on.
Required Practice
Evaluating numerical expressions
Use your calculator when appropriate and be sure you know how to get exact answers when you use it.
EXACT ANSWERS: reduced integers or improper fractions (no decimal approximations)
Evaluate the following expressions...
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Algebra and Trigonometry : Graphs and Models -Text Only - 4th edition
Summary: The authors help students "see the math" through their focus on functions; visual emphasis; side-by-side algebraic and graphical solutions; real-data applications; and examples and exercises. By remaining focused on today's students and their needs, the authors lead students to mathematical understanding and, ultimately, success in class2009 Hardcover Good Used book with normal wear and tear and may contain writing. Stock photo may be different from actual book cover.
$4.00 +$3.99 s/h
Good
Goodwillnyonline Astoria, NY
Good
$4.00 +$3.99 s/h
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Bragg About Books NC Fayetteville, NC
2007 Hardcover Good condition, *NO CDROM* DOES NOT INCLUDE ACCESS CODE! There is NO apparent writing or highlighting in this book. OVERSIZED, CANNOT SHIP ITEM INTERNATIONALLYSusies Books Garner, NC
2009 Hardcover COVER SHOWS LIGHT WEAR
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for College Students
KEY MESSAGE The Blitzer Algebra Series combines mathematical accuracy with an engaging, friendly, and often fun presentation for maximum student ...Show synopsisKEY MESSAGE The Blitzer Algebra Series combines mathematical accuracy with an engaging, friendly, and often fun presentation for maximum student appeal. Blitzer's personality shows in his writing, as he draws students into the material through relevant and thought-provoking applications. Every Blitzer page is interesting and relevant, ensuring that students will actually use their textbook to achieve success! KEY TOPICS Algebra, Mathematical Models, and Problem Solving; Functions and Linear Functions; Systems of Linear Equations; Inequalities and Problem Solving; Polynomials, Polynomial Functions, and Factoring; Rational Expressions, Functions, and Equations; Radicals, Radical Functions, and Rational Exponents; Quadratic Equations and Functions; Exponential and Logarithmic Functions; Conic Sections and Systems of Nonlinear Equations; Sequences, Series, and the Binomial Theorem MARKET for all readers interested in algebra
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today's students to be successful in mathematics, they must be adequately prepared for the study of algebra, geometry, data analysis, probability, trigonometry, calculus, and beyond. An appropriately prepared student will be comfortable working with numbers, performing operations on numbers, working with applications involving numbers, and analyzing basic data.
The High School Math Made Simple DVD series was developed to aide students by reviewing core concept areas. The series is derived from the popular book High School Math Made Simple, which was written to align to the National Council of Teachers of Mathematics (NCTM) standards.
This is a good introduction to basic math skills, but I don't think that it will be very useful for a high school student. Upon entering high school, a student should have mastered such topics as fractions, percents, and integers, and if he or she hasn't, then he or she is in trouble.
The DVD consists of what seem to be simple PowerPoint slides. The voiceover is clear and spoken at a good pace. Each lesson lasts a few minutes, and ample time is provided to complete the given examples. Each lesson includes good definitions of key terms and ends with a quick review of the material that was covered. Overall, I think that this DVD would likely be more beneficial to an elementary school or middle school student who is looking for an overview to material that he or she has already been exposed to in school.
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Forest Park, GA PhysicsFactoring polynomials will appear in pretty much every chapter in this course. Without the ability to factor polynomials you will be unable to complete this course. Rational Expressions In this section we will define rational expressions and discuss adding, subtracting, multiplying and dividing them.
...Specifically there are abstract, disguised, or multi-step questions in algebra, geometry, or data interpretation. I teach systematic methods to make sure that every student does the best they can on the SAT math. We begin by identifying areas that students struggle with and identify methods that make sense and that the students can use on a regular basis
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Discrete Mathematics
9780130890085
ISBN:
0130890081
Edition: 5 Pub Date: 2000 Publisher: Prentice Hall PTR
Summary: For one or two term introductory courses in discrete mathematics. This best-selling book provides an accessible introduction to discrete mathematics through an algorithmic approach that focuses on problem- solving techniques. This edition has woven techniques of proofs into the text as a running theme. Each chapter has a problem-solving corner that shows students how to attack and solve problems.
Johnsonbaug...h, Richard is the author of Discrete Mathematics, published 2000 under ISBN 9780130890085 and 0130890081. Seventeen Discrete Mathematics textbooks are available for sale on ValoreBooks.com, sixteen used from the cheapest price of $0.01, or buy new starting at $21
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Synopses & Reviews
Publisher Comments:
An undergraduate-level introduction to number theory, with the emphasis on fully explained proofs and examples. Exercises, together with their solutions are integrated into the text, and the first few chapters assume only basic school algebra. Elementary ideas about groups and rings are then used to study groups of units, quadratic residues and arithmetic functions with applications to enumeration and cryptography. The final part, suitable for third-year students, uses ideas from algebra, analysis, calculus and geometry to study Dirichlet series and sums of squares. In particular, the last chapter gives a concise account of Fermat's Last Theorem, from its origin in the ancient Babylonian and Greek study of Pythagorean triples to its recent proof by Andrew Wiles.
Synopsis:
"Synopsis"
by Gardners,
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Synopses & Reviews
Publisher Comments:
Experiencing Introductory Algebra combines beginning and intermediate algebra concepts and actively involves readers in a total algebra experience. Thomasson and Pesut integrate the use of technology (assuming no prior graphing calculator skills on the part of readers); allow readers to experience algebra through discovery and visualization; illustrate multiple approaches (numerical, graphical, algebraic, and verbal) to problem solving. Real Numbers; Variables, Expressions, Equations, and Formulas; Relations, Functions, and Graphs; Linear Equations in One Variable; Linear Equations and Functions in Two Variables; Systems of Linear Equations in Two Variables; Inequalities; Polynomial Functions; Working with Polynomial Expressions; and Quadratic Equations
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Book summary
This fourth edition continues to improve on the features that have made it the market leader. The text offers a flexible organization, enabling instructors to adapt the book to their particular courses: discrete mathematics, graph theory, modern algebra, and/or combinatorics. More elementary problems were added, creating a greater variety of level in problem sets, which allows students to perfect skills as they practice. This new edition continues to feature numerous computer science applications-making this the ideal text for preparing students for advanced study. [via]
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How to order Books
Purchasing our books directly from Target Publications entitles you to 20% discount of cover price/MRP. Now paying for your books is easier than ever. You can select the most convenient way of ordering books out of the several methods.
PREFACE
Algebra is the branch of mathematics which deals with the study of rules of operations and relations, and the concepts arising from them. It has wide applications in different fields of science and technology. It deals with concepts like linear equations, quadratic equations, Arithmetic and Geometric progressions etc. Its application in statistics deals with measures of central tendency, representation of statistical data etc.
The study of Algebra requires a deep and intrinsic understanding of concepts, terms and formulas. Hence to ease this task we bring to you "Std. X: Algebra" a complete and thorough guide extensively drafted to boost the students confidence. The topicwise question and answer format of this book helps the student to understand each and every concept thoroughly. It covers all the textual as well as higher order thinking problems which are completely solved with accurate answers. The book also includes precise theory, important definitions, formulas and procedures to solve the problems. Graphs are drawn with proper scale and pie diagram are with correct measures.
And lastly, I would like to thank all those who have helped me in preparing this book. There is always room for improvement and hence I welcome all suggestions and regret any errors that may have occurred in the making of this book.
A book affects eternity; one can never tell where its influence stops.
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More About
This Textbook
Overview
In 1977 the Mathematics Department at the University of California, Berkeley, instituted a written examination as one of the first major requirements toward the Ph.D. degree in Mathematics. Its purpose was to determine whether first-year students in the Ph.D. program had successfully mastered basic mathematics in order to continue in the program with the likelihood of success. Since its inception, the exam has become a major hurdle to overcome in the pursuit of the degree. The purpose of this book is to publicize the material and aid in the preparation for the examination during the undergraduate years. The book is a compilation of over 1,250 problems that have appeared on the preliminary exams in Berkeley over the last twenty-five years. It is an invaluable source of problems and solutions for every mathematics student who plans to enter a Ph.D. program. Students who work through this book will develop problem-solving skills in areas such as real analysis, multivariable calculus, differential equations, metric spaces, complex analysis, algebra, and linear algebra. The problems are organized by subject and ordered in an increasing level of difficulty. Tags with the exact exam year provide the opportunity to rehearse complete examinations. The appendix includes instructions on accessing electronic versions of the exams as well as syllabus and statistics of passing scores.
Editorial Reviews
From the Publisher
From the reviews of the third edition:
"This new edition has been updated with the most recent exams … . There are numerous new problems and solutions which were not included in previous editions. It is an invaluable source of problems and solutions for every mathematics student who plans to enter a Ph. D program. … this book will develop problem-solving skills in areas such as real analysis, multivariable calculus, differential equations, metric spaces, complex analysis, algebra, and linear algebra. … Tags with the exact exam year provide the opportunity to rehearse complete examinations. … This new edition has been updated with the most recent exams … ." (Zentralblatt für Didaktik der Mathematik, November 2004)
"The Mathematics department of the University of California, Berkeley, has set a written preliminary examination to determine whether first year Ph.D. students have mastered enough basic mathematics to succeed in the doctoral program. Berkeley Problems in Mathematics is a compilation of all the … questions, together with worked solutions … . All the solutions I looked at are complete … . Some of the solutions are very elegant. … This is an impressive piece of work and a welcome addition to any mathematician's bookshelf." (Chris Good, The Mathematical Gazette, 90:518, 2006)
"During the last twenty-five years problems from written preliminary examinations that are required for the Ph.D. degree at the Mathematics Department of the University of California, Berkeley, have been assembled. … The book is suited for students in mathematics, physics or engineering. Solutions are well explained, making the book valuable for self-study. The problems have a satisfactory high level, so the book is a rich resource of examples for lecturers as well, who need exercises … . This book certainly is to be recommended." (Paula Bruggen, Bulletin of the Belgian Mathematical Society, 12:4
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Last year we chose to switch to Saxon's new Algebra I, 4th edition and their new ... Pre Algebra- The purpose of this course is to assist students in making the jump from basic mathematics to algebra. We will spend the first third of the year sharpening ... Algebra II-Saxon's Algebra2 is ...
SaxonAlgebra2. Algebra II ... Larson, Ron, 8th Edition) This class will cover trigonometric equations, the algebra of logarithms, ... the United Nations, power conflicts, and the third-world growth. Research skills will be used. As each era of history is covered, the World Christian View is ...
Students will experience a variety of literary genres including Anglo-Saxon culture's first recorded prayers, ... Students should have completed pre-algebra prior to taking this class. Algebra2 with Delia Read ... The text for this course will be BJU's Geometry, thirdedition.
Required Text for second semester: MLA Handbook for Writers of Research Papers 7th Edition by the Modern Language Association ... (or SaxonAlgebra I & II); taking Pre-Calculus (or ... The textbook is Barron's Spanish Now Level 2, thirdedition, 2009. Spanish 1 is a prerequisite for ...
Saxon Math 7/6. Mailbox Hands On ... Glencoe-McCraw Hill Course 3 2012 Edition. Pre-Algebra with Pizazz Worksheets . ... and the third pays interest compounded quarterly. Use a spreadsheet to find the amount of money in each account after one year, two years, three years, ten years, and twenty ...
With the addition of a third math teacher, class size for math has been reduced in the third grade Saxon ... 4-8 are in an accelerated math program and successfully complete Algebra by ... of TerraNova was used in 2006-2008. The ThirdEdition/2008 of TerraNova was used in ...
Unit 5: Algebra, Integers and Graphing 57. Unit 6: Growth and Patterns 72. Unit 7: ... As in the first edition, the Louisiana Comprehensive Curriculum, ... The third grid would represent $6.75 or ½ of the $13.50.
Most of our 8th grade students take Algebra and all who take it pass the Algebra end of course exam for ... There are fewer commended performance in the third grade ... We have adopted the Saxon math program for all grades to obtain better curriculum alignment and added a math ...
Text: Television Production Handbook, 6th Edition. Fee: $7.00. ... This is the third course in the Communications/broadcasting sequence at Gillespie High ... An Incremental Development (Saxon Series) Algebra I is the first math course in a series of five that are designed for college-bound ...
I have only 4 Saxon's Algebra I textbooks! ... 2:35. Pre-Algebra. I use the teacher's edition of their textbook. ... this will be the third time that this situation has occurred. I am truly amazed. Who dresses you in the morning? You won't hire people who want to work here.
This is the third course in the Communications/broadcasting sequence at Gillespie High School. ... An Incremental Development (Saxon Series) Algebra I is the first math course in a series of five that are designed for college-bound students. ... (Martini 4th edition) Fee: ...
Textbook: WORKING--Career Success for the 21st Century Thirdedition South-Western 2003 ... This course is an overview of English literature across several time periods and authors from the Anglo-Saxon period through the ... Algebra2. Course: Alegbra 2 Course Number: 9315 Category ...
... Humankind's First Three Million Years. Oxford: Oxford University Press, 1999, 4th edition. An in-depth survey, up-to-date about the archaeological debates. Focuses on the evolution of ... (2)The Third Temple (3)The First Jewish War (4)Destruction of the Temple (5)The second Diaspora (6 ...
Third Grade. Mrs. Buchanan's ... In Mrs. Burns' English 3 Honors students have concluded their study of the Anglo-Saxon period this month, ... Mrs. Maresca's Honors Algebra2 class analyzed the difference between experimental and theoretical probability by dropping a folded index card and ...
... Second Edition It was the best of times, it was the worst of times, ... high school students studied rigorous courses in algebra, geometry and physics. ... I CAN Learn® Mathematics Curriculum, and Saxon Math. The WWC identified 66 other studies that included evaluations of 15 additional ...
The third, biology, is also encouraged to be taken in the freshman year. If taking it at this point is not possible, ... We will use the textbook "AP Biology" 8th edition by Campbell and Reece with the three key themes being: ... Chemistry and Algebra2 . The Advanced Placement (AP) ...
In all probability he or she was of Anglo-Saxon background and Protestant. However, after the Civil War, immigrants began coming from Southern ... This third factor has been more complex than the ... Many of our English words have been borrowed from the Arabs such as algebra, alcohol, alkali ...
The third section, ... offering seeks to acquaint the student with a representative study of the literature of British Isles from the Anglo-Saxon Period to the Twentieth Century. ... One edition will be "published" as a baseline assessment, and the second edition published as a final ...
I believe the 2012-2013 edition of the Christiansburg High School Course Guide is that type of resource. ... This course may be used along with Algebra I and Geometry to satisfy the third math credit of the Standard and Standard Technical ... (Algebra I or higher). 2 years of Natural/Physical ...
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Slide 1 - Plain Local Schools | Keyword: slide plain local 1-6 Relations and Functions Warm Up Lesson Presentation Lesson Quiz Holt Algebra 2 A relation is a pairing of input values with output values. It can be shown as a ...
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This work caters for mixed ability classes with exercises graded at three different levels. It encourages practical problem solving involving appropriate mathematics. There are revision exercises at the end of each chapter. General notes provide a grid whereby teachers can identify and assess student progress. [via]
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College Algebra : Graphing Approach - 5th edition
Summary: Part of the market-leading Graphing Approach Series
Continuing the series' emphasis on student support, the Fifth Edition intro...show moreduces
TheNew! The Nutshell Appendix reviews the essentials of each function, discussed in the Library of Functions feature, and offers study capsules with properties, methods, and examples of the major concepts covered in the textbook. This appendix is an ideal study aid for students.
New! Progressive Summaries outline newly introduced topics every three chapters and contextualize them within the framework of the course.
New! Make a Decision exercises--extended modeling applications presented at the end of selected exercise sets--give students the opportunity to apply the mathematical concepts and techniques they've learned to large sets of real data.
Updated! The Library of Functions, threaded throughout the text, defines each elementary function and its characteristics at first point of use. The Fifth Edition incorporates new exercises that tests students' understanding of these functions. All elementary functions are also presented in a summary on the front endpapers of the text for convenient reference.
Updated! The Chapter Summaries have been updated to include the Key Terms and Key concepts that are covered in the chapter. These chapter summaries are an effective study aid because they provide a single point of reference for review.
Updated! The Proofs of Selected Theorems are now presented at the end of each chapter for easy reference.
The Larson team provides an abundance of features that help students use technology to visualize and understand mathematical concepts. Technology Tips point out the pros and cons of technology use in certain mathematical situations. They also provide alternative methods of solving or checking a problem using a graphing calculator. Students may sometimes be misled by the visuals generated by graphing calculators, so the authors use color to enhance the graphing calculator displays in the textbook, where appropriate. This enables students to visualize concepts accurately and efficiently. Technology Support notes appear throughout the text and refer students to the Technology Support Appendix, where they can learn how to use specific graphing calculator features to enhance their understanding of the concepts presented. The Technology Support notes also direct students to the Graphing Technology Guide, on the textbook's website, for keystroke support for numerous calculator models.
Carefully positioned throughout the text, Explorations engage students in active discovery of mathematical concepts, strengthening critical thinking skills and helping them to develop an intuitive understanding of theoretical concepts.
What You Should Learn and Why You Should Learn It appears at the beginning of each chapter and section, offering students a succinct list of the concepts they will soon encounter. Additionally, this feature refers students to an application in the exercise set which helps put the math concept into a real-life context so students can understand it better.
To help prepare students who intend to move on to Calculus, the authors have placed an icon next to algebraic techniques that are used in CalculusellBackYourBook Aurora, IL
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Mathematics & Physics for Programmers, 2nd Edition
The casual game market continues to expand, and with the use of Flash growing and the increased popularity of the iPhone and other mobile gaming devices, developers have an exciting new route to market. But many of these budding game programmers find that they're missing the core math and physics skills they need to develop even simple games. MATHEMATICS AND PHYSICS FOR PROGRAMMERS, SECOND EDITION teaches beginning game programmers they skills they need to develop causal games. Beginning with the basic aspects of mathematics and physics that are relevant to games, and moving on to more complex topics, the book combines theory and practice and the reader develops a number of games throughout the course of the book. With the concepts and techniques presented in the book, readers should be able to program a number of standard casual game types, including Mario-style platformers, driving simulations, puzzle games, and a simple first-person shooter. They will also gain a basic understanding of 2D and 3D geometry you
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Schools- General Education
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I would like more information on the following: Pre-AlgebraAlgebra 1GeometryAlgebra 2PreCalculusCalculus
For two decades, Math-U-See has stressed the importance of conceptual understanding in mathematics education. The curriculum focuses not only on mastery of procedural skills but also on understanding the concepts and principles which explain and support skill mastery.
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Wolfram|Alpha is more than a search engine. It gives you access to the world's facts and data and calculates answers across a range of topics, including science, nutrition, history, geography, engineering, mathematics, linguistics, sports, finance, m...
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Intuitive worksheet maker
AlgeWorksheets is a quick and intuitive way for teachers and parents to create algebra worksheets and tests. The program combines many useful features in an easy-to-use layout.
The program's interface is plain, but all of its features are straightforward and easy to use. Users select from among 20 algebraic topics, specify any other needed settings (difficulty level, type of problem, etc.), and then click Add New Sum. The program generates a problem and inserts it into the worksheet. Users can specify whether they want to include answer blanks and can give each problem up to 15 lines of working space, ensuring that students have ample room to show their work. Users can create a mixture of problem types from different topics, a handy way to create a final exam, or just focus on one or two topics at a time. Users can also customize the worksheet's heading, including its title and desired student information. Once users have completed their worksheet or test, it can be printed with ease. Although we had few questions about the program's use, it includes both a built-in Help file and a PDF user manual that offer plenty of guidance.
AlgeWorksheets has a 20-use limit on its trial, and we found that each use is limited to about six and a half minutes. The program installs and uninstalls without issues. We recommend this program to all users seeking an easy way to create worksheets and tests for algebra students.
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Presented in the familiar Saxon approach of incremental development and continual review, topics are continually Parents will be able to easily help their students with the solutions manual, which includes step-by-step solutions to each problem in the student book; and quickly assess performance with the test book (test answers included). Tests are designed to be administered after every five lessons after the first ten.
Please Note: This is the third printing and errors to date have been corrected.
This kit includes:
Student Textbook, 887 pages (120 lessons), hardcover.
Solutions Manual, 341 pages, softcover, three-ring-punched
Test Book with answer key, 80 perforated pages, softcover.
Saxon Geometry Homeschool Packet (Test Forms & Answers) Retail Price: $14.10 CBD Price: $9.87
( In Stock ) This set of tests and the test answer key is part of the Saxon Geometry Kit, and is designed for additional students taking the course. Twenty-three tests are included, and are designed to be given after every five lessons, after the first ten. 80 pages, softcover.
Boost your students understanding of Saxon Math with DIVE's easy-to-understand lectures! Each of the 120 lesson concepts and 12 investigations in Saxon Math's Geometry textbook is taught step-by-step on a digital whiteboard, averaging about 10-20 minutes in length; and because each lesson is stored separately, you can easily move about from lesson-to-lesson as well as maneuver within the lesson you're watching. After the lesson, students complete the 30-question Problem Set in the Saxon text; a few problems in the set come from the new concept, however most review previous lessons. Each problem is cross-referenced back to the lesson where it was taught, allowing students to quickly review any concept. Taught from a Christian worldview, Dr. David Shormann also provides a weekly syllabus to help students stay on track with the lessons. DIVE teaches the same concepts as Saxon, but does not use the problems given in the text; it cannot be used as a solutions guide.
This course covers all topics in a high school geometry course, including perspective, space, and dimension associated with practical and axiomatic geometry. Students learn how to apply and calculate measurements of lengths, heights, circumference, areas, and volumes, and will be introduced trigonometry and transformations. Students will use logic to create proofs and constructions, work with key geometry theorems and proofs, and use technology such as spreadsheets, graphing calculators, and geometry software.
Get everything you need for a successful and pain-free year of learning math! This kit includes Saxon's 1st Edition Geometry textbook, solutions manual, and test book, as well as the DIVE Geometry CD-ROM. A balanced, integrated mathematics program that has proven itself a leader in the math teaching field, Saxon Geometry covers triangle congruence, postulates and theorems, surface area and volume, two-column proofs, vector addition, slopes and equations of lines, and other high school geometry concepts.
The DIVE software teaches each Saxon lesson concept step-by-step on a digital whiteboard, averaging about 10-20 minutes in length; because each lesson is stored separately, you can easily move about from lesson-to-lesson as well as maneuver within the lesson you're watching. DIVE teaches the same concepts as Saxon, but does not use the problems given in the text; it cannot be used as a solutions guide.
Please Note: This is the third printing and errors to date have been corrected.
Give your Saxon Geometry students support and reinforcement! Comprehensive lesson instructions feature complete solutions to every practice problem, problem set, and test problem with step-by-step explanations and helpful hints. These user-friendly the 1st Edition. Four Lesson CDs and 1 Test Solutions CD included.
Saxon Geometry is the perfect solution for students and parents who prefer a dedicated geometry course, yet want Saxon's proven methods!
Presented in the familiar Saxon approach of incremental development and continual review, topics are
Parents will be able to easily help their students with the solutions manual, which includes step-by-step solutions to each problem in the student book, and quickly assess performance with the test book (test answers included). Tests are designed to be administered after every five lessons after the first ten.
Please Note: This is the third printing and errors to date have been corrected.
Saxon Teacher provides comprehensive lessons from the book that feature complete solutions to every practice problem, problem set, and test problem. These Geometry 1st Edition. Four Lesson CDs and 1 Test Solutions CD included.
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Calculus made Easy
Description
Calculus made Easy is an app for students wanting to master Calculus the easy way. Using the knowledge of a teacher who has taught for over 38 years with a Pure and Applied Mathematics Degree, you will find learning calculus a breeze.
Calculus made Easy has tutored lessons which shows step by step worked examples. Calculus Made Easy is designed to help you understand Calculus, having your own Maths Tutor when and where you need it.
This app covers the following topics: Definition of Function, First Principles for Differentiation, The Gradient of a Tangent, Rules for Differentiation, Function of a function rule, Product Rule, Quotient Rule and The derivatives of the function of Trigonometry.
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Online Math Primers
I've applied for an analyst position and they want me to take a math test before giving me an interview. I have an MBA, but I graduated last June and haven't done any real math since, so I'd like some practice before going into this. Supposedly no calculus or statistics on it.
Schaums Outlines are not online but they are cheap and worth it. The world essentially runs on Schaums; every kid in India or China who needs a quantitative job studies with a Schaums book. It's a better idea than looking around online for "free" problems that eventually aren't so free.
Unless you need mental arithmetic practice, which is really best to do online because of built-in timers; for that, use this.
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Aleks Upgrades HS Geometry Tool
Math Assessment tool provider Aleks has upgraded its High School Geometry offering so that it now leverages the company's AI-2 intelligence engine, which aims to reduce faculty workload and make learning process more rewarding and more targeted to student needs.
Specifically, Aleks used instructor and student feedback to develop the course's AI-2 engine so that it could provide more accurate assessments and let teachers more flexibly instruct students. Students navigate learning paths based on their level of readiness.
In terms of subject matter, the geometry course covers 217 concepts under the broader categories of algebra and deductive reasoning, lines and angles, triangles, polygons and circles, similarities and transformations, volumes and surface areas, and coordinate geometry.
The geometry course includes more than 40 new problem types and a content editor to let teachers remove more than 100 topics and change the sequence of topics to tailor the curriculum to their classes' needs. The course also includes input tools, such as proof and construction tools, to help foster a free response environment.
The geometry course is now available and can be used as core class curriculum, or in a supplemental fashion for remediation, intervention, or gifted or after school programs
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Algebra Through Practice, Book II
9780521272865
ISBN:
0521272866
Publisher: Cambridge University Press
Summary: Problem solving is an art that is central to understanding and ability in mathematics. With this series of books the authors have provided a selection of problems with complete solutions and test papers designed to be used with or instead of standard textbooks on algebra. For the convenience of the reader, a key explaining how the present books may be used in conjunction with some of the major textbooks is included. ...Each book of problems is divided into chapters that begin with some notes on notation and prerequisites. The majority of the material is aimed at the student of average ability but there are some more challenging problems. By working through the books, the student will gain a deeper understanding of the fundamental concepts involved, and practice in the formulation, and so solution, of other algebraic problems. Later books in the series cover material at a more advanced level than the earlier titles, although each is, within its own limits, self-contained.
Blyth, T. S. is the author of Algebra Through Practice, Book II, published under ISBN 9780521272865 and 0521272866. Two hundred twenty five Algebra Through Practice, Book II textbooks are available for sale on ValoreBooks.com, one used from the cheapest price of $23.30, or buy new starting at $36.12.[read more]
Seller Rating:(0)
Ships From:Minneapolis, MNShipping:StandardComments: Excellent copy with no markings aside from a price stamp on first page. Ships from Dinkytown in ... [more] Excellent copy with no markings aside from a price stamp on first page. Ships from Dinkytown in Minneapolis, Minnesota. [less]
This item is printed on demand. Problem solving is an art that is central to understanding and ability in mathematics. With this series of books the authors have provided a s [more]
This item is printed on demand. Problem solving is an art that is central to understanding and ability in mathematics. With this series of books the authors have provided a selection of problems with complete solutions and test papers designed to be used.[less]
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Study Guide for Stewart's Single Variable Calculus: Early Transcendentals, 7th
Summary
This helpful guide contains a short list of key concepts; a short list of skills to master; a brief introduction to the ideas of the section; an elaboration of the concepts and skills, including extra worked-out examples; and links in the margin to earlier and later material in the text and Study Guide.
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Self taught trig
Would it be possible to buy a trig text book and read it straight through and teach myself? Do people do this? I know that it is very hard to teach yourself calculus, but isn't trig much easier to teach yourself?
Thanks for the advice tom. I actually have been reading this book called Trigonometry Demystified, from the Demystified series(similiar to For Dummies, and Complete Idiots Guide). It is a self teaching guide. I am two chapters into it and it is pretty easy. But I don't think that I am learning everything that I should. I want to buy a college text book and read it straight through. Do you think that would be better than this Demystefied book?
Next semester I am taking a College Algebra and Trig combination class, but I am afraid that I will not learn everything that I need to know, about the trig. I have a feeling that the class will be mostly college algebra with a little trig. I already know most of college algebra now, but I have to take that class to get the credit. I just really want to be ready for calculus. I take calculus 1 this summer.
Self taught trig
You keep saying "read it straight through" as if it were a novel. Math Texts are not novels and should not be "read straight Through" you may well need to read and reread sections along with completing the exercises in each section.
Trig although being a very useful tool, isn't the only thing you should have a good background for calculus... I generally don't consider Algerbra and Trig to be college level classes... I mean I took an Algerbra 2/Trig class at a college but it really wasn't college level. Is your calculus 1 class simliar to a precalculus?
because if you are worried about being prepared for calc
skim through a precalc book and see if you understand the material after you study some trig
i was not planning on taking a pre-calculus class. My college doen't actually offer one. And no, I never took it in high school. So you say that I should be more concerned about studying pre-calculus than trig as a pre-req. for calc 1?
i have taught calculus in college for over 35 years and no one has ever failed for not knowing trig. the main problem is algebra, and then geometry. the most important thing by far is to be good at algebraso f(x) = 1/x defines a function on the domain of positive reals. and the additional rule that f(0) = 4, extends that to a function g defined on the non negative reals. I.e. then g(x) = 1/x if x is positive, and g(0) = 4. some people can never get it through their heads that it is ok to define a function anyway you want like this, using possibly several different rules for different parts of the domain.
but the main thing to know, above all things, is algebra.
trig takes about 5 minutes to learn. you only need to know the definitions of the two basic functions sin and cos, their relation to points and arcs on the circle, and then it helps to know the basic formulas, sin^2 + cos^2 = 1, and sin(x+y) = sin(x)cos(y) + sin(y)cos(x), and cos(x+y) = cos(x)cos(y) - sin(x)sin(y).
most people who have had trig do not even know these last two, (much less esoteric matter like the "law of cosines"),
just the basic one: sin^2 + cos^2 = 1.
but stuff like: why is [1/x - 1/a]/(x-a) = [a-x]/[(x-a)ax]? that is what stumps people.
its always the algebra. and this is needed every day in calculus. for example what good does it do to take a derivative and set it equal to zero, if you cannot solve it afterwards?
after the algebra it would help to know a couple basic things from geometry like similar triangles have proportional sides, and the pythagorean theorem. that's about it for geometry. of course it is nice to know a couple basic area and volume formulas, like the area of a circle, rectangle, cylinder, sphere, and triangle, but we usually review that stuff. the algebra never goes away. including the algebra of exponents.
like what is a^(1/3)? and what is (a^3 - b^3)/(a-b) ?
or (a^b)^c = ? or log(x^(10)) ?
from trig, i always have many people every year who fail to notice that since tan(x) = sin(x)/cos(x) that it is unbounded near where cos = 0. you do not need much trig to know that, just basics like do not divide by zero unless you expect something odd to happen. these people have had trig, they are just not thinking.
I taught myself Calculus, and now I am in 1st Year Calculus at a University. I learned a lot of knew stuff. I actually realized that I'm above average in the class, and some people are just lost. I also admit some parts I didn't know, and a function was one of them. I understand now. I knew that the derivative can be found using limits, while others completely forgot about First Principles.
I'm learning a lot, and it is unfortunate I skipped all my classes in high school.
Note: I also taught myself trigonometry, and physics. This is what I had to do because going back to high school wasn't an option. Now I'm a 1st year Physics/Math major. It's fun to see people brag about their math marks in high school, and I walk in and say "I HAD A SOLID 42%!".
The important thing is that, the one who takes the time to understand math (not just answer questions similiar to those in the book) will be the one who lasts.
PS. I hope I am that person. :)
Although you most likely will forget some trig identities, make sure you remember that you can derive them all using other identities you remember. Also, don't be discourage if you are a second year student and you forget something so simple like 0/0. Sometimes you are just thinking far too hard, 0/0 might seem like 1. A prof of mine said it is completely normal to just make a mistake like thatI taught myself computer programming (go QBasic help! ) and was actually surprised how SIMPLE math functions were. I was used to having a function... DO stuff... and not just return a value. So it was really like a step down.
Unless you're going to do something functional, programming will teach you bad habits, and even then it isn't a good idea. First, Alkatran, what is the definition of a function? Not something that just returns a 'value' for a start. Second, and my big bug bear, is that writing things like i=i+1 is unmathematical.
I'm an algebraist and I find writing programs most challenging: they do not tally.
programming will teach you bad habits, and even then it isn't a good idea.
I disagree. I'm quite young, and haven't had loads of maths experience.
I've taught myself DOS, HTML, JS, Java, C/C++ and am still learning more languages.
I found that programming has helped me ALOT. If I compare my mathematic ability now to before I learnt to program, I've improved dramatically. I also found that programming (especially the little bit of asm I've done) inspires me to do maths. :)
It also teached you about the use of different operands and functions and quite importantly; precedence.
Oh, and I also taught myseld trig (aswell as the sine and cosine rules). So, it definitely can be done :D
the point is there is no such subject as trigonometry. there are basically two trig functions, sin and cos, and you should know something about these two functions.
Saying trigonometry is a subject is like saying x^2 is a subject, or maybe that quadratic functions are a subject.
That strikes me as a peculiar thing to say. It is not unusual for secondary schools or even colleges to have courses name "trigonometry" and certainly there are many textbooks on "trigonometry". Perhaps you are using the word "subject" in a very precise sense?
I would say that the subject, trigonometry, includes the 6 trig functions, sine, cosine, secant, cosecant, tangent, and cotangent (of course, all can be defined in terms of sine and cosine), methods of "solving" right triangles, methods of "solving" general triangles, and possibly some spherical geometry.
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Calculus Help
In this section you'll find study materials for calculus help. Use the links below to find the area of calculus you're looking for help with. Each study guide comes complete with an explanation, example problems, and practice problems with solutions to help you learn calculus.
Study Guides
Graphs of Increasing and Decreasing Functions and Asymptotes
Here is where everything comes together. We know how to find the domain, how to identify asymptotes, and how to plot points. With the help of the sign diagrams from the previous lesson, we shall be able ...
Calculus and Optimization
Knowing the minimum and maximum points of a function is useful for graphing and even more useful in real-life situations. Businesses want to maximize their profits, builders want to minimize their costs, drivers want to minimize ...
Areas Under Curves
Around the same time that so many great mathematicians devoted themselves to figuring out the slopes of tangent lines, other mathematicians were working on an entirely different problem. They wanted to be able to figure out the area underneath ...
The Fundamental Theorem of Calculus
Here comes the resounding climax of calculus. It would be best to read this lesson with some bombastic orchestral music like that of Wagner or Orff. This, however, is not necessary. The initial question here is innocent enough: ...
If you have completed all 20 lessons in this book, you are ready to take the test to measure your progress. The test has 50 multiple-choice questions covering the topics you studied in this book. Although the format of the test is similar to that of the introductory test (
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Students will receive in-depth coverage of trigonometry, logarithms, analytic geometry, and upper-level algebraic concepts, as well as continued intermediate algebra and trigonometry concepts first introduced in Algebra 2; new lessons on functions, matrices, statistics, and the graphing calculator are also included.
Saxon Teacher provides comprehensive lesson instructions that feature complete solutions to every practice problem, problem set, and test problem, with step-by-step explanations and helpful hints. These Advanced Math Advanced Math 2nd Edition. Four Lesson CDs and 1 Test Solutions CD included.
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This supplement provides all of the necessary instructions to use Mathcadr Student or Professional software to aid the reader in solving homework problems. It is keyed heavily to the accompanying dynamics text and works through many of the sample problems in detail. While this supplement suggests ways in which to use Mathcadr to enhance your understanding of dynamics and teach you efficient computational skills, you may also browse through the Mathcadr Student manual and think of your own usage of Mathcadr to solve problems and applications in other courses. The first chapter is a general introduction to Mathcadr that concludes with a sample application of Mathcadr to a dynamics problem and can be studied while reading Chapter 1 of the accompanying text.
This supplement to Engineering Mechanics: Statics provides all of the necessary instructions to use Mathcad Student of Professional software to aid the reader in solving homework problems and working through the sample problems within the text. It is keyed heavily to the accompanying Statics text and works through many of the sample problems in detail. While this supplement suggests ways in which to use Mathcad to enhance your understanding of statics and teach you efficient computational skills, you may also browse through the Mathcad Student manual and think of your own usage of Mathcad to solve statics problems and applications in other courses. The manual consists of 11 chapters. The first chapter is a general introduction to Mathcad that concludes with a sample application of Mathcad to a statics problem and can be studied while reading Chapter 1 of the accompanying Statics text. The following 10 chapters present appropriate Mathcad solutions for some of the sample problems given in the text. Chapter 1 - Using Mathcad Computational Software Numerical Calculation Working with Functions Symbolic Calculations Solving Algebraic Equations Graphs and Plots Application of Mathcad to a Statics Problem Along with solutions to sample problems, other topics covered within this manual include: Mathcad as a Vector Calculator; Solution of Simultaneous Linear Equations; Using Mathcad for Other Matrix Calculations; Scalar of Dot Product; Vector or Cross Product Between Two Vectors; Parametric Solutions; Solution of Nonlinear Algebraic Equations; Vector or Cross Product Between Two Vectors; Numerical and Symbolic Integration; Three-Dimensional Scatter Plots; Symbolic Generation of Equilibrium Equations; Discontinuity Functions; Cables; Wedges; Belt Friction; Principle Second Moments of Area; Eigenvalue Problems
Using the author's considerable experience of applying Mathcad to engineering problems, Essential Mathcad introduces the most powerful functions and features of the software and teaches how to apply these to create comprehensive calculations for any quantitative subject. The simple, step-by-step approach makes this book an ideal Mathcad text for professional engineers as well as engineering , science, and math students. Examples from a variety of fields demonstrate the power and utility of Mathcad's tools, while also demonstrating how other software, such as Excel spreadsheets, can be incorporated effectively. A full version of Mathcad v15 is available by using the registration code included in the front of the book (North America only). The included software is for educational purposes only.
Learn how to use PTC Mathcad Prime 3.0, one of the world's leading tools for technical computing, in the context of engineering, science, and math applications. Quickly harness the power of Mathcad to solve simple and complex problems. Essential PTC Mathcad is perfect for college students and first-time users as well as for experienced Mathcad users who are moving to Prime 3.0.
The book introduces the most powerful functions and features of the new Prime 3.0 software and teaches how to apply them to create comprehensive calculations for any quantitative subject. Examples from several fields demonstrate the power and utility of Mathcad's tools while also demonstrating how users can effectively incorporate other software, such as Excel spreadsheets. A free 12-month student trial edition of PTC Mathcad Prime 3.0 is available by using the registration code included in the book.
This introduction to random variables and signals is intended to provide engineering students with the analytical and computational tools for processing random signals using linear systems, developing the underlying theory as well as applications and maki, Preface.- Introduction to Sets and Probability.- One Dimensional Random Variables.- Operations on Random Numbers.- Two Dimensional Random Variables.- Random Processes.- Transformation of Random Processes.- Applications of Theory.- Appendix A. Linear Signa
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Roadmap to 3rd Grade Math, Virginia Edition
(Paperback)
Roadmap to 3rd Grade Math, Virginia Edition
(Paperback)
Roadmap to 3rd Grade Math, Virginia Edition Book Description
If Students Need to Know It, It's in This Book This book develops the mathematics skills of third-graders. It builds skills that will help them succeed in school and on the Virginia Standards of Learning Assessments. Why The Princeton Review? We have more than twenty years of experience helping students master the skills needed to excel on standardized tests. Each year we help more than 2 million students score higher and earn better grades. We Know the Virginia Standards of Learning (SOL) Assessments Our experts at The Princeton Review have analyzed the Virginia SOL Math Assessment, and this book provides the most up-to-date, thoroughly researched practice possible. We break down the test into individual skills to familiarize students with the test's structure, while increasing their overall skill level. We Get Results We know what it takes to succeed in the classroom and on tests. This book includes strategies that are proven to improve student performance. We provide -content review based on Virginia standards and objectives -detailed lessons, complete with skill-specific activities -two complete practice Virginia SOL Math Assessments For more information about our other test-preparation products for school and home, call "1-800-REVIEW-2 or visit "k12.princetonreview.com.
About the Author :
Princeton Review has contributed to Roadmap to 3rd Grade Math, Virginia Edition as an author.
Popular Searches
The book Roadmap to 3rd Grade Math, Virginia Edition by Princeton Review
(author) is published or distributed by Princeton Review [0375755764, 9780375755767].
This particular edition was published on or around 2002-11-30 date.
Roadmap to 3rd Grade Math, Virginia Edition has Paperback binding and this format has 208 number of pages of content for use.
This book by Princeton Review
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Oak Lawn Physics
...These are things I wish to share. Algebra involves using mathematical principles to create expressions to solve for unknowns. Furthermore, algebra teaches you how to manipulate numbers and equations.
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recent years, mathematics has become valuable in many areas, including economics and management science as well as the physical sciences, engineering and computer science. Therefore, this book provides the fundamental concepts and techniques of real analysis for readers in all of these areas. It helps one develop the ability to think deductively, analyze mathematical situations and extend ideas to a new context. Like the first two editions, this edition maintains the same spirit and user-friendly approach with some streamlined arguments, a few new examples, rearranged topics, and a new chapter on the Generalized Riemann Integral.
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Below are all the competencies and job programs that contain the class Math: Fundamentals 100. Job programs are our traditional class lists organized according to common job functions. Competencies are our latest job-specific curricula that help tie online learning to practical, hands-on tasks.
The mathematical rules that determine the correct order for solving any sequence of math operations. Powers and roots are solved before multiplication and division, which in turn are solved before addition and subtraction.
A mathematical operation indicating which unknown number, multiplied by itself a specific number of times, equals the number included inside the root sign. The "square root" of 81 equals 9 is an example of a root.
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Download this Sketchpad file to investigate the definite integral using a model of a car accelerating from rest. Students explore the graph of the car's speed as a function of time, and use Sketchpad'... More: lessons, discussions, ratings, reviews,...
OneStone Math is a calculus program incorporating 2D and 3D graphics and a powerful symbolic math engine in an easy to use format. An extensive and expandable feature set provides tools for graphic... More: lessons, discussions, ratings, reviews,...
OneStone Math is a calculus program designed for students and educators. It provides solutions and gives insight to problems in single and multivariable calculus. These include derivatives and integra... More: lessons, discussions, ratings, reviews,...
On this online calculator calculate mathematical expressions and complex numbers. You can do matrix algebra and solve linear systems of equations and graph all 2D graph types. You can also calculate z... More: lessons, discussions, ratings, reviews,...
An online interactive multiplication grid designed for students who are having difficulty learning their times tables. Access this tool from the Internet or save the page and open the file from your bAn interactive applet and associated web page that demonstrate opposite rays.
The applet shows two rays with a common endpoint and can be dragged with the mouse.
If the rays are in a line, the m... More: lessons, discussions, ratings, reviews,...
An interactive applet and associated web page that demonstrate the optical properties of elliptical mirrors.
Rays that pass through one focus of an ellipse always are reflected so they pass thro
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Addressing individual learning styles, Tom Carson presents targeted learning strategies and a completestudy system to guide students to success. Carson's Study System, presented in the "To the Student" section at the front of the text, adapts to the way each student learns, and targeted learning strategies are presented throughout the book to guide students to success. Tom speaks to students in everyday language and walks them through the concepts, explaining not only how to do the math, but also where the concepts come from and why they work.
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Advanced Algebra (the University of Chicago School Mathematics Project)
This 940 page text has 14 chapters. It is written by nine authors who include the traditional algebra topics along with additional algebra problems in geometry, trigonometry, and statistics. This book was designed to help students develop skills in reading and problem solving. The text
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Interactive Mathematics Program
An integrated high school mathematics curriculum designed to challenge ALL students with a four-year sequence of college preparatory mathematics.
The
Interactive Mathematics Program is an integrated, problem-based curriculum that offers challenging content and emphasizes mathematical reasoning. Designed and field-tested with support from the National Science Foundation,
IMP has demonstrated in schools throughout the country that the successful study of advanced mathematics is an achievable standard for all students.
The benefits of IMP
IMP's
integrated, problem-based curriculum helps you teach challenging content in an approachable way that leads to student success.
IMP has demonstrated in schools throughout the United States and Canada that learning advanced mathematics is an achievable standard for all students.
IMP's
stimulating problems and projects will help you teach your students to think creatively and
critically. You can be sure
that they will develop strong mathematical reasoning skills and the ability to use multiple
strategies to solve problems.
You'll be able to keep students interested and engaged with intriguing problems based on real-world situations,
as well
as fanciful scenarios.
You will see your students become better mathematics communicators as they present their solutions and
mathematical
reasoning to small groups and to the entire class.
You will be able to easily differentiate instruction as students work through hands-on activities.
IMP's
in-depth, over-time approach allows you to consistently prepare students for high-stakes exams.
Doing stimulating, problem-based work inspires IMP students to take more years of college-prep mathematics than
non–IMP students.
With IMP, you'll not only teach the subject matter generally covered in Algebra 1, Geometry, Algebra 2, and
Precalculus, but also delve
into advanced topics that are not traditionally covered. For example, in the Year 2 unit Cookies, students apply
their knowledge of linear
equations to solve complex linear programming problems.
20 years of IMP
IMP author Sherry Fraser talks about the origins of IMP, shares interviews with the first
IMP
students,
and updates us on where they are now.
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Why Is It So Hard To Learn Math? by Richard Porr
Price:
$0.99 USD.
Approx. 2,640 words.
Language:
English.
Published on August 2, 2011 by
Outlier Publications.
Category:
Nonfiction » Education and Study Guides » Study guides - Mathematics.
More people struggle with math than with any other academic discipline. So much so, that it is commonly excusable to not do well in math but to merely survive. There are reasons why math is so hard to learn. This little book identifies and provides insights into the top 10 reasons why math is so hard to learn. If you know what the bumps are, you can slow down and make it over them in one piece!
Solving the Three Ancient Problems using the Graef Curves by Edward V. Graef
Price:
$4.99 USD.
Approx. 5,310 words.
Language:
English.
Published on September 25, 2011 by
Marsha Bauer.
Category:
Nonfiction » Reference » Handbooks and Manuals.
Three Ancient Problems (trisecting the angle, squaring the circle, duplicating the cube) have challenged mathematicians for 2000 years. It's impossible to solve them using compass and straightedge alone, so mathematicians were challenged to create a curve or curve family to solve all three. No one accomplished this feat--until Graef. His curves were verified/published in top math publications.
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Kuta software infinite algebra 1 factoring trinomials a 1 answers
Bing users came to this page yesterday by typing in these math terms: solving rational equations ; google.com ; how to graph a parabola "cube root" formulas from. Software for math teachers that creates exactly the worksheets you need in a matter of minutes. Try for free. Available for Pre- Algebra , Algebra 1 , Geometry, and. A video on the basics of creating an assignment with Infinite Algebra 1 . More information at Free trial at Instructions. Factor each expression as a difference between two squares. Enter exponents using the ^ symbol. For example, "five x squared" should be entered as. Algebra software designed to solve algebra homework problems with step-by-step help. derivatives, integrals, graphs, linear equations, matrix algebra automatic calculus help on the web NOW no software download, no sign up hassle. Free algebra lessons, games, videos, books, and online tutoring. We can help you with middle school, high school, or even college algebra , and we have math lessons in. This section describes how to find factors and roots of polynomial equations using a computer algebra system.
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Infinite algebra 1
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Prerequisites: While MCS120 has no formal prerequisites, you
should have had at least two years of high school algebra.
Text: Essentials of Precalculus, by Aufmann &
Nation.
This book is intended to be read. For each class session, you are
encouraged to read the pertinent portion of the text at least
twice beforehand and at least once afterwards. Study the
book with a pencil in hand. Make notes in it. Mark where you have
questions. Look at the exercises at the end of the chapter and
use them to check/ improve your understanding of your reading.
Classes: Classes will be used for discussions, problem
solving, lectures, and other fun activities. You should prepare
for classes by doing the reading beforehand (reading
assignments are posted on the Web), thinking about the
problems in the text, doing the prep problems and the exercises
mentioned in the text, and formulating
questions of your own. You
should also participate as much as possible in class. Class
meetings are not intended to be a complete encapsulation of the course
material. You will be responsible for learning some of the material on
your own.
Attendance, both physical and mental, is required.
Absences from class, late assignments, etc: Should you need
to miss a class for any reason, you are still responsible for the
material covered in that class. This means that you will need to make
sure that you understand the reading for that day, that you should ask
another student for the notes from that day, and make sure that you
understand what was covered. It also means that if we had an
assignment that we did in class that day, you will get a 0 for that
assignment. If there is an assignment due that day, you should be sure
to have someone hand it in or put it in my departmental
mailbox (in Olin 324). You do not need to explain why you missed a
class unless there is a compelling reason to do so.
Should you miss more than four classes, no matter what the reason, I
will lower you semester grade by at least a third.
Homework and Prep Problems: You will need to read a section
of the book and do problems for each day that we have
class. There are two types of problems, prep problems and
homework problems.
Prep problems are designed to help you prepare for class. Each day,
you will have one or two problems that you need to do before we class and hand in at the
beginning of class. This way I can be sure you've read the
material and you can check your understanding.
Homework problems are designed to help you learn the material we
cover in class and in the reading. You
should read the material and attempt the problems before coming to
class. You should finish the problems after class. Each week, you
will hand in your solutions to the problems you did. These should be
neatly written on standard sized paper, and with all of the pages
stapled together. The sections and problem numbers should be clearly
labeled. Late homework is not accepted. My grader will only grade a
few sample problems.
I encourage you to work with other students on the homework
provided that you do so in such a way that every one in your group
learns the material. The most effective way to do this is to first
discuss each problem as a group and then have each person work on the
problem individually. When you're done (or stuck) compare your work
and discuss it. Remember that doing the homework is how you learn the
material and that you are not allowed to work cooperatively on tests.
If you do work with other students on the homework, you should
follow these guidelines:
Each person should write up the answers independently.
Each person should be able to work each one of the problems
independently.
Each person gives credit to the others who helped.
Tests: We will have three in-class tests, on Sept. 29,
October 18, and November 15,
and a comprehensive final tentatively scheduled for Saturday, Dec. 17,
at 3:30pm.
On homework, you should make a real effort to solve each
problem
by yourself, although you can and should discuss problems
and their
solutions with your classmates after
you've made this effort. You should give credit to any people or
texts that
helped you find solutions. On tests, you are expected to
work completely by yourself.
You will be expected to sign the honor pledge on every graded paper
and test.
A first violation of the honor code will result in a grade of 0 on the
paper or test in question. Any further violations will result in
a
grade of F for the course. In all cases, I notify the office of
the Dean of the Faculty.
Course grade:
Prep problems
5%
Homework
15%
Intra-term tests
20% each
Final
20%
Accessibility: Please contact me during the first
week of class if you have specific
physical, psychiatric, or learning disabilities and require
accommodations. I will do my best to facilitate the necessary
arrangements. All discussions will remain confidential. You can
provide documentation of your disability to the
Advising Center (204 Johnson Student Union) or call Laurie Bickett
(x7027).
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Where Does the Word Algebra Come from?
Answer
Algebra is one of the main branches of pure mathematics. The word comes from the Arabic language and much of its methods from Arabic/Islamic mathematics. The roots of the word can be traced to earlier traditions, which had a direct influence on Muhammad ibn MÅ«sÄ? al-KhwÄ?rizmÄ«. Later on, he wrote The Compendious Book on Calculation by Completion and Balancing, which established algebra as a mathematical discipline that is independent of geometry and arithmetic.
1 Additional Answer
Why yes you will use algebra when you are an adult. Algebra is Latin for al-jabr. Jabr refers to transposing subtracted terms to the opposite side of an equation. This is from an Arabic book, dealing with balancing and restoring in math equations. That was written in approximately 825 A.D. I bet you thought it was new math. You can find more information here:
(, The Compendious Book on Calculation by Completion and Balancing), also known under a shorter name spelled as Hisab al-jabr w'al-muqabala, Kitab al-Jabr wa-l-Muqabala and other transliterations) is a...
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CliffsQuickReview course guides cover the essentials of your toughest classes. You're sure to get a firm grip on core concepts and key material and be ready for the test with this guide at your side.
Whether you're new to functions, analytic geometry, and matrices or just brushing up on those topics, CliffsQuickReview Precalculus can help. This guide introduces each topic, defines key terms, and walks you through each sample problem step-by-step. In no time, you'll be ready to tackle other concepts in this book such as
Arithmetic and algebraic skills
Functions and their graphs
Polynomials, including binomial expansion
Right and oblique angle trigonometry
Equations and graphs of conic sections
Matrices and their application to systems of equations
Get all you need to know with Super Reviews! Each Super Review is packed with in-depth, student-friendly topic reviews that fully explain everything about the subject. The Pre-Calculus Super Review includes sets, numbers, operations and properties, coordinate geometry, fundamental algebraic topics, solving equations and inequalities, functions, trigonometry, exponents and logarithms, conic sections, matrices, and determinants. Take the Super Review quizzes to see how much you've learned - and where you need more study. Makes an excellent study aid and textbook companion. Great for self-study!
500 Pre-Calculus Questions Sharpen your skills and prepare for your precalculus exam with a wealth of essential facts in a quick-and-easy Q&A format!
Get the question-and-answer practice you need with McGraw-Hill's 500 College Precalculus Questions. Organized for easy reference and intensive practice, the questions cover all essential precalculus topics and include detailed answer explanations.
The 500 practice questions are similar to course exam questions so you will know what to expect on test day. Each question includes a fully detailed answer that puts the subject in context. This additional practice helps you build your knowledge, strengthen test-taking skills, and build confidence. From ethical theory to epistemology, this book covers the key topics in precalculus.
Well, the good news is that you can master calculus. It's not nearly as tough as its mystique would lead you to think. Much of calculus is really just very advanced algebra – – – Non-student readers will find the book's exposition clear and accessible. Calculus For Dummies takes calculus out of the ivory tower and brings it down to earth.
Books in the EZ-101 Study Keys series are intended as brush-up reviews for a variety of college-101 courses. They are designed as a set of classroom "notes" that reflect typical lecture material presented in a classroom over the course of a semester. As such, they make handy supplements to college textbooks and serve as valuable pre-exam reviews. This overview of statistics covers nine general themes: descriptive statistics, shape, probability, probability distributions, planning a study, the population proportion, the population mean, Chi-square analysis, and regression analysis.
Does linear algebra leave you feeling lost? No worries —this easy-to-follow guide explains the how and the why of solving linear algebra problems in plain English. From matrices to vector spaces to linear transformations, you'll understand the key concepts and see how they relate to everything from genetics to nutrition to spotted owl extinction.
Line up the basics — discover several different approaches to organizing numbers and equations, and solve systems of equations algebraically or with matrices
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I am in a real situation. Somebody save me please. I am having a lot of dilemma with reducing fractions, radical expressions and difference of squares and especially with solving fourth order equations determinants. I need to show some snappy change in my math. I came to know there are several Applications available online which can guide you in algebra. I can shell out some moolah too for an effective and inexpensive software which helps me with my studies. Any resource is greatly appreciated. Thanks.
Can you please be more detailed as to what sort of guidance you are expecting to get. Do you want to get the principles and solve your math questions by yourself or do you need a utility that would provide you a step-by-step solution for your math problems?
I remember having difficulties with linear equations, leading coefficient and y-intercept. Algebrator is a really great piece of math software. I have used it through several math classes - Pre Algebra, College Algebra and Algebra 1. I would simply type in the problem and by clicking on Solve, step by step solution would appear. The program is highly recommended.
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Elementary Algebra For College Students Early Graphing
9780136134169
ISBN:
0136134165
Edition: 3 Pub Date: 2007 Publisher: Prentice Hall Algebra Early Graphing for College Students, An...gel continues to focus on the needs of the students taking this class and the instructors teaching them.
Angel, Allen R. is the author of Elementary Algebra For College Students Early Graphing, published 2007 under ISBN 9780136134169 and 0136134165. Three hundred twenty four Elementary Algebra For College Students Early Graphing textbooks are available for sale on ValoreBooks.com, thirty three used from the cheapest price of $15.18, or buy new starting at $180.87CD is included. ACCEPTABLE with noticeable wear to cover and pages. Binding intact. We offer a no... [more]CD is included. ACCEPTABLE with noticeable wear to cover and pages. Binding intact. We offer a no hassle guarantee on all our items. Orders are generally shipped no later than [more]
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More About
This Book
In Introduction to Reasoning and Proof, Karren Shultz-Ferrell, Brenda Hammond, and Josepha Roblesfamiliarize you with ways to help students explore their reasoning and support their mathematical thinking. They offer an array of entry points for understanding, planning, and teaching, including strategies that help students develop strong mathematical reasoning and construct solid justifications for their thinking. Full of activities that are modifiable for immediate use with students of all levels and written by veteran teachers for teachers of every level of experience, Introduction to Reasoning and Proof highlights the importance of encouraging children to describe their reasoning about mathematical activities, while also recommending ways to question students about their conclusions and their thought processes in ways that help support classroom-wide learning.
Best of all, like all the titles in the Math Process Standards Series, Introduction to Reasoning and Proof comes with two powerful tools to help you get started and plan well: a CD-ROM with activities customizable to match your lessons and a correlation guide that helps you match mathematical content with the processes it utilizes.
If your students could benefit from more opportunities to explain their reasoning about math concepts. Or if you're simply looking for new ways to work the reasoning and proof standards into your curriculum, read, dog-ear, and teach with Introduction to Reasoning and Proof. And if you'd like to learn about any of NCTM's process standards, or if you're looking for new, classroom-tested ways to address them in your math teaching, look no further than Heinemann's Math Process Standards Series. You'll find them explained in the most understandable and practical way: from one teacher to another
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cv buat curriculum vitae
Delivering cutting edge education through intensive curriculum, Vishwashanti Gurukul Schools have become a trusted name. Considered as one of the best boarding CBSE schools in Pune, these schools focus not on mere dissemination of information in the classrooms but imparting a comprehensive training for life through a 'harmonious development of the body, mind and soul'.To know more visit:
Curriculum Reference Guide
HONORS ALGEBRA II
AND
TRIGONOMETRY
Students are required to master the Virginia Standards of Learning for each course in which they are
enrolled. This guide is designed to give students and parents an overview of the course requirements as
well as the materials needed for each class.
A list of the objectives associated with the course and the timeline in which these objectives will be taught
have been compiled in this document.
Students are encouraged to keep the Curriculum Reference Guide for each course and to refer to the
information throughout the year. It is our hope that this document will be a valuable reference that will
assist parents and students in having a successful school year.
The Algebra II/Trigonometry course is composed of advanced algebraic concepts including: equations,
inequalities, systems of equations and inequalities, functions, polynomials, statistics, complex numbers,
rational and radical expressions, permutations and combinations, and sequences and series, Trigonometric
and Circular functions, their equations, inequalities, and graphs. Included is practical problem solving using
the Pythagorean Theorem, the Law of Sines and the Law of Cosines. The course will be mastered through
the use of oral and written communication concerning the language of algebra, logic of procedures, and
interpretation of results. Graphing utilities (graphing calculators, computers, and computer-based labs) will
be used by teacher and students. In this course, students will complete at least one written and oral
presentation each nine weeks.
Course Expectations
Course Requirements:
Students enrolled in Honors Algebra II and Trigonometry should have successfully completed Algebra I
with a B average or higher and Honors Geometry or Geometry with a B average or higher.
Grading Rationale:
There will be a minimum of five (5) quizzes and three (3) tests per nine-weeks grading period which may be
any combination of unit tests and projects. Unit tests will be administered after the completion of each unit
as shown in the course syllabus.
Classwork
Homework
Quizzes (Special Assignments, Short Term Projects)...
Textbook: Pearson Prentice Hall Algebra and Trigonometry, 4th edition by Robert F. Blitzer
Curriculum Coverage in Mathematics for the 2013-14 School Year as Outlined by TNCore (TN transition to Common Core)
NOTE from the Tennessee Mathematics Standards: This course is designed as an alternative to the Pre-Calculus course
and it is not intended for students to take both courses while in high school due to the overlap in content. Students choosing
this course would be less likely to enroll in a STEM Calculus course upon entering college. However, this course will
provide a foundation for students entering a business application Calculus course or below.
From the Common Core State Standards for Mathematics:
The high school standards specify the mathematics that all students should study in order to be college and career ready.
Additional mathematics that students should learn in order to take advanced courses such as calculus, advanced statistics, or
discrete mathematics is indicated by (+), as in this example:
(+) Represent complex numbers on the complex plane in rectangular and polar form (including real and imaginary
numbers).
All standards without a (+) symbol should be in the common mathematics curriculum for all college and career ready students.
Standards with a (+) symbol may also appear in courses intended for all students.
The Standards for Mathematical Practice
MP1. Make sense of problems
and persevere in solving them.
Textbook: Pearson Prentice Hall Algebra and Trigonometry, 4th edition by Robert F. Blitzer
Common Core State Standards
Course Level Expectations (CLE's)
Chapter 1 – Equations and Inequalities
(Allow 3 weeks for instruction, review, and assessment)
N-CN Perform Arithmetic Operations with CLE 3124.1.1 Use mathematical language, symbols,
Complex Numbers
definitions, proofs and counterexamples correctly and
precisely in mathematical reasoning.
N-Q Reason Quantitatively and Use Units CLE 3124.1.3 Develop inductive and deductive reasoning
to Solve Problems
to independently make and evaluate mathematical
arguments and construct appropriate proofs; include
A-REI Solve Equations and Inequalities in various types of reasoning, logic, and intuition.
One Variable
CLE 3124.3.4 Solve nonlinear inequalities (quadratic,trigonometric, conic, exponential, and logarithmic).F-LE Construct and Compare Linear,CLE 3124.3.5 Solve problems by converting the given Quadratic, and Exponential Models and verbal information into an appropriate mathematical model Solve Problems involving equations or systems of equations; apply appropriate techniques to analyze these mathematical models; and interpret the solution obtained in written form
using appropriate units of measurement...
ALGEBRA 2
and
TRIGONOMETRY
Ann Xavier Gantert
To Jessica Alexander and Uriel Avalos in gratitude for their invaluable work in preparing this text for
publication.
Ann Xavier Gantert
The author has been associated with mathematics education in New York State as a teacher and an
author throughout the many changes of the past fifty years. She has worked as a consultant to the
Mathematics Bureau of the Department of Education in the development and writing of Sequential
Mathematics and has been a coauthor of Amsco's Integrated Mathematics series, which accompanied that
course of study.
Algebra 2 and Trigonometry is a new text for a course in intermediate algebra and
trigonometry that continues the approach that has made Amsco a leader in presenting mathematics in a modern, integrated manner. Over the last decade, this
approach has undergone numerous changes and refinements to keep pace with
ever-changing technology.
This textbook is the final book in the three-part series in which Amsco parallels
the integrated approach to the teaching of high school mathematics promoted by
the National Council of Teachers of Mathematics in its Principles and Standards for
School Mathematics and mandated by the New York State Board of Regents in the
Mathematics Core Curriculum. The text presents a range of materials and explanations that are guidelines for achieving a high level of excellence in their understanding of mathematics.
In this book:
The real numbers are reviewed and the understanding of operations with irrational numbers, particularly radicals, is expanded.
The graphing calculator continues to be used as a routine tool in the study of
mathematics. Its use enables the student to solve problems that require computation
that more realistically reflects the real world. The use of the calculator replaces the
need for tables in the study of trigonometry and logarithms.
Coordinate geometry continues to be an integral part of the visualization of
algebraic and trigonometric relationships.
Functions represent a unifying concept throughout. The algebraic functions
introduced in Integrated Algebra 1 are reviewed, and exponential, logarithmic, and
trigonometric functions are presented.
Algebraic skills from Integrated Algebra 1 are maintained, strengthened, and
expanded as both a holistic approach to mathematics and as a bridge to advanced
studies.
Statistics includes the use of the graphing calculator to reexamine range, quartiles, and interquartile range, to introduce measures of dispersion such as variance
and standard deviation, and to determine the curve that best represents a set of
bivariate data...
Honors College Algebra and Trigonometry
Summer Prep Work
Summer prep work represents "prerequisite knowledge" that should be mastered in prior
curriculum and will not be retaught. This packet involves foundation skills necessary for
success in this course. Several topics from Algebra II have been highlighted for summer
work. These topics involve essential skills students often need to brush up on before starting
Precalculus. For each student's benefit, the following assignments are required and will be
collected on the first day of school. These assignments will be taken as a grade. You can
anticipate that on the first day of school, a test will be administered over this material to
determine student readiness for this course.
The version of this assignment posted on the LTHS Summer Assignment Home Page will
include a scanned "prerequisite" chapter from the textbook we will be using for the course.
Students may find the text and samples beneficial in helping answer these questions. You
may also consider going online for tutoring on topics. One good resource is the website
There are tutorial videos you can watch and practice sessions for
many math topics and more. You can find sessions by typing your topic name into the search
bar. Forgetting does not mean that you are off the hook! Please look up what you need
refreshing on.
Required Practice
Evaluating numerical expressions
Use your calculator when appropriate and be sure you know how to get exact answers when you use it.
EXACT ANSWERS: reduced integers or improper fractions (no decimal approximations)
Evaluate the following expressions...
M A I N E L E A R N I N G T E C H N O L O G Y I N I T I AT I V E
2013-2017 Deployment IV
MLTI Apple Program Description
Student and Staff Eligibility Guidelines
Participation and Funding Information
MLTI Participation Form 2013
The MLTI goals remain:
• Equity
• Integration with Maine's Learning Results
• Sustainability / Avoiding Obsolescence
• Teacher Preparation and Professional Development
• Economic Development
At a school and classroom level, these goals can be translated into a few more tangible
actionable goals: 1) changing teacher practices in ways that leverage technology to facilitate a
student-centered learning environment, and 2) active participation in on-going professional
development efforts.
Apple Professional Development (APD) brings educational experience and curriculum
knowledge to every workshop delivered. With over 10 years of collaborative work in Maine, the
APD team is comprised of trained educators with years of classroom and leadership experience.
APD delivers comprehensive professional development programs focused on supporting
classroom teachers along with building and district leaders.
The comprehensive Professional Development plan outlined in this solution focuses on teaching
and learning best practices underpinned by a long-term association with the SAMR Model,
learned from the work done with MLTI. An emphasis on hands-on, engaging learning is
foundational to the offerings outlined from Apple Professional Development. Whether through
the use of online resources from iTunes U, face-to-face engagement in a traditional workshop
setting, classroom coaching and mentoring, or as part of the Leadership Cadres, Apple's
comprehensive Professional Development plan is ready to take Maine educators to new levels of
capability and effectiveness.
Personal Digital Device
Students Grades 7-8 (and other opt-in grades):11-inch MacBook Air
Students will be empowered with a MacBook that is more mobile and powerful with a size that
fits a teenager's lifestyle. The combination of the 11-inch MacBook Air and OS X provides the
latest Intel processors, long-lasting battery, and a rock-solid operating system that equips all
learners with a laptop that is ready to create and produce. MacBook Airs will include iWork and
iLife to provide powerful suites of digital content creation apps that enable learners to design
dynamic multimedia projects, engaging music or audio productions, and share their work locally
or across the state.
Teachers 7-8 (and other opt-in teachers): 13-inch MacBook Air
By combining the comfort and familiarity of the MacBook with the latest Intel processor, a
dependable solid-state hard drive, long battery life, no moving parts and a rock-solid operating
system, the 13-inch MacBook Air will provide teachers with a dynamic instructional tool that's
reliable, secure, and easy to use. MacBook Airs will include iWork and iLife to provide powerful
suites of digital content creation apps that enable teachers to design and conduct more engaging
and individualized lessons...
|
You are here
Mathematics for High School Teachers: An Advanced Perspective
Publisher:
Prentice Hall
Number of Pages:
596
Price:
86.67
ISBN:
9780130449412
The coverage of this book is what one would ordinarily expect to find in a high school curriculum without an AP program. Operations such as limits, differentiation and integration are mentioned when there is a suitable purpose and abstract algebraic structures such as groups and fields are also mentioned.
What differentiates this book is the added depth of coverage of what are the primary topics of the high school curriculum. For example, the last chapter, called "Axiomatics and Euclidean Geometry," covers the geometry found in high school, but the approach is based on the solid foundation of the axioms. Most specifically there is a detailed examination of the parallel postulate in constructing the final aspects of Euclidean geometry and what is missing when it is absent.
Brief mentions of the historical development of the topics are also used to describe how a topic fits into the overall fabric of mathematics. This works very well at the high school level, because these students are approaching the point of rigor and they often like to know how all the material they are studying interrelates.
One of the best ways to describe this book is that it prepares the high school teacher for many of the likely "Why is this true?" questions that are often asked by the most advanced students. While the names of the chapters are routine, this is an example where it would be wrong to judge a book by the titles of its chapters.
Charles Ashbacher splits his time between consulting with industry in projects involving math and computers, teaching college classes and co-editing The Journal of Recreational Mathematics. In his spare time, he reads about these things and helps his daughter in her lawn care business.
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has multiple concepts for geometry and trigonometry. The concepts are divided among chapters with links on common unknown concepts to help students understand the text. This resource also provides exercises that can be done by the students (answers are provided).
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For complex detection and classification problems, involving data with large intra-class variations and noisy inputs, no single source of information can provide a satisfactory solution. As a result, combination of multiple classifiers is playing purpose of this study was to examine common algebra-related misconceptions and errors of middle school students. In recent years, success in Algebra I is often considered the mathematics gateway to graduation from high school and success
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CSET Mathematics I: AlgebraGuided Reading Lesson: Letter Sound & Combination Accuracy Teacher-Created Video- During this lesson, the students go on a sound hunt. They are looking for the sounds, /sh/ and /r/. During the guided reading group, students use their leveled books to search for the sounds. (6:35) Author(s): No creator set
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How to Figure Out the Perimeter of a Circle When figuring out the perimeter, or circumference, of a circle, the goal is to find the length around the shape. Use the radius and the diameter to figure out the perimeter of a circle with help from this author and teacher. Author(s): No creator set18.02SC Multivariable Calculus (MIT) This course covers differential, integral and vector calculus for functions of more than one variable. These mathematical tools and methods are used extensively in the physical sciences, engineering, economics and computer graphics.
21L.002 Foundations of Western Culture: The Making of the Modern World of the differenIAS Visiting Fellow Professor Vivien Schmidt from Boston University speaks to PAIS PhD students Andr Warwick PhD students Andrew Hammond and Ben Jacoby from the Department of Politics and International Studies interview IAS Visiting Fellow Professor Vivien Schmidt about her research in political theory, the role of the state and democracy in Europe. Professor Schmidt also explains her search for better methodological approaches to studying politics focussing on the interactive processes of discourse. Author(s): No creator set
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Where the Sun Shines, There Hack They Even if the typical MIT hacker doesn't qualify as a secret agent, he or she is to be admired for pulling off the collegiate world's most surreptitious, elegant pranks, believes Jay Keyser. While Harvard students get a chuckle out of "putting panties over statues," MIT students have placed a telephone booth and a police cru Author(s): No creator set
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An Introduction to Numerical Methods and Analysis, Revised Edition Set
This book provides maximum teaching flexibility by beginning each chapter and each section with basic, elementary material, and gradually builds up to more advanced material. It continues this flexibility with its approach to computing languages - the book is not specific to any one computing language. It emphasizes a "cause and effect" approach to numerical mathematics.
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