Algebra Form and Function [Loose-leaf]

Algebra: Form and Function was designed based on the fundamental goal for a student to foster understanding of algebraic structure- that is, an understanding of how the arrangements of symbols allows us to predict, for example, the behavior of a function or the number of solutions to an equation. Mastering algebraic structure enables students to read algebraic expressions and equations in real-life contexts, not just manipulate them, and to choose which form or which operation will best suit the context.  It facilitates being able to translate back and forth between symbolic, graphical, numerical, and verbal representations.

By balancing practice in manipulation and opportunities to see the big picture, Algebra: Form and Function offers a way for teachers to help students achieve real mastery of algebra. 

1 Functions and Algebraic Structure 1

1.1 What is a Function? 2

1.2 Functions and Expressions 8

1.3 Functions and Equations 15

1.4 Functions and Change 24

1.5 Functions, Modeling, and Proportionality 30

Review Problems 36

2 Linear Functions 41

2.1 Introduction to Linear Functions 42

2.2 Linear Expressions 49

2.3 Linear Equations 57

2.4 Equations for Lines in the Plane 65

2.5 Modeling with Linear Functions 73

2.6 Systems of Linear Equations 80

Review Problems 91

Solving Drill 97

3 Quadratic Functions 99

3.1 Introduction to Quadratic Functions 100

3.2 Quadratic Expressions 103

3.3 Converting to Factored and Vertex Form 111