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The Xs and Whys of Algebra
Key Ideas and Common Misconceptions
In many ways, algebra can be as challenging for teachers as it is for students. With so much emphasis placed on procedural knowledge and the manipulation of variables and symbols, it can be easy to lose sight of the key ideas that underlie algebraic thinking and the relevance algebra has to the real world.
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In many ways, algebra can be as challenging for teachers as it is for students. With so much emphasis placed on procedural knowledge and the manipulation of variables and symbols, it can be easy to lose sight of the key ideas that underlie algebraic thinking and the relevance algebra has to the real world. In The Xs and Whys of Algebra: Key Ideas and Common Misconceptions, Anne Collins and Linda Dacey provide a set of thirty research-based modules designed to engage all students in m...read more
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Table of Contents
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Contents
Introduction
EXPRESSIONS
Walking the Cartesian Coordinate Plane
Simplifying Expressions
Generalizing Patterns
Geometric Patterns
Equivalence of Expression
Input/Output
Problem Solving with Patterns
Posing Problems
EQUATIONS
Equal Sign as a Balance
Solving Equations
Graphing Equations
Solving Linear Equations
Equivalent Expressions
Meaning of Slope
Working with Slope
Interpreting Graphs
Systems of Linear Equations
Linear Inequalities
Posing Problems for Inequalities
Absolute Value as Distance
Absolute Value Inequalities
FUNCTIONS
Am I a Function?
Linear Functions
Solving Problems Using Ordered Pairs
Quadratic Functions
Modeling Quadratics
Solving Quadratic Equations
Exponential Growth
Exponential Decay
Appendix
Answer Key