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College Algebra: An Inverse Approach
Conditional Remix & Share Permitted
CC BY-NC
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This College Algebra textbook provides a comprehensive introduction to the fundamental concepts of algebra, with a unique focus on the concept of inverses. The textbook begins with an exploration of the foundational principles of functions, including domain, range, and the vertical line test. It progresses through critical topics such as operations on functions, composition of functions, and the algebra of functions, ensuring students grasp the fundamental building blocks necessary for more complex algebraic thinking.Several times the teaching diverges from how the subject is commonly taught. Examples include absolute value, determining the inverse of a function, and completing the square. The text is as devoid of "gimmicks" or "tricks" as possible, leaning on the fundamentals of good algebra. Also, there is a high reliance on fractions, rather than decimal numbers, to help equip the student with the better way to read a problem and its solution.This book is written for and dedicated to my grandchildren, and the fact that you're taking at least a glimpse of it is just a huge bonus! Thank you.

Subject:
Education
Mathematics
Material Type:
Textbook
Author:
Linda Neff
Dan Cook
Date Added:
08/23/2024
College Algebra & Trigonometry
Conditional Remix & Share Permitted
CC BY-NC-SA
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This College Algebra text will cover a combination of classical algebra and analytic geometry, with an introduction to the transcendental exponential and logarithmic functions. If mathematics is the language of science, then algebra is the grammar of that language. Like grammar, algebra provides a structure to mathematical notation, in addition to its uses in problem solving and its ability to change the appearance of an expression without changing the value.

Subject:
Algebra
Mathematics
Trigonometry
Material Type:
Textbook
Author:
Richard W. Beveridge
Date Added:
12/03/2019
Combined Fuel Efficiency
Unrestricted Use
CC BY
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The primary purpose of this problem is to rewrite simple rational expressions in different forms to exhibit different aspects of the expression, in the context of a relevant real-world context (the fuel efficiency of of a car). Indeed, the given form of the combined fuel economy computation is useful for direct calculation, but if asked for an approximation, is not particularly helpful.

Subject:
Algebra
Mathematics
Material Type:
Activity/Lab
Provider:
Illustrative Mathematics
Provider Set:
Illustrative Mathematics
Author:
Illustrative Mathematics
Date Added:
01/25/2013
Comparing Investments
Only Sharing Permitted
CC BY-NC-ND
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This lesson unit is intended to help teachers assess how well students are able to interpret exponential and linear functions and in particular to identify and help students who have the following difficulties: translating between descriptive, algebraic and tabular data, and graphical representation of the functions; recognizing how, and why, a quantity changes per unit intervale; and to achieve these goals students work on simple and compound interest problems.

Subject:
Algebra
Mathematics
Measurement and Data
Material Type:
Assessment
Lesson Plan
Provider:
Shell Center for Mathematical Education
Provider Set:
Mathematics Assessment Project (MAP)
Date Added:
04/26/2013
Comparing Linear Functions
Read the Fine Print
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The foundation of this lesson is constructing, communicating, and evaluating student-generated tables while making comparisons between three different financial plans. Students are given three different DVD rental plans and asked to analyze each one to see if they could determine when the 3 different DVD plans cost the same amount of money, if ever. (7th/8th Grade Math)

Subject:
Algebra
Mathematics
Material Type:
Activity/Lab
Lecture
Lesson Plan
Teaching/Learning Strategy
Provider:
Noyce Foundation
Provider Set:
Inside Mathematics
Author:
Dimas, Cecilio
Date Added:
11/30/2011
Compound Inequalities
Conditional Remix & Share Permitted
CC BY-NC
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This seminar will show you how to identify, solve, and graph compound inequalities.  You will learn the difference between the union and intersection of solutions, and you will also learn the importance of distinguishing between “and” and “or” when constructing compound inequalities.StandardsCC.2.2.HS.D.10Represent, solve, and interpret equations/inequalities and systems of equations/inequalities algebraically and graphically.

Subject:
Algebra
Mathematics
Material Type:
Lesson Plan
Author:
Bonnie Waltz
Deanna Mayers
Tracy Rains
Date Added:
10/15/2017