Teaching Algebra with Manipulatives

Contents
Easy-to-Make Manipulatives
Page
Grid Paper . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .1
Centimeter Grid Paper . . . . . . . . . . . . . . . . . . . . .2
10 10 Centimeter Grids . . . . . . . . . . . . . . . . . . .3
Coordinate Planes . . . . . . . . . . . . . . . . . . . . . . . .4
Coordinate Planes in Space . . . . . . . . . . . . . . . . .5
Coordinate Planes for Trigonometric Functions
(degrees) . . . . . . . . . . . . . . . . . . . . . . . . . . . . .6
Coordinate Planes for Trigonometric Functions
(radians) . . . . . . . . . . . . . . . . . . . . . . . . . . . . .7
Conic Graph Paper — circles and lines . . . . . . . .8
Conic Graph Paper — overlapping circles . . . . . .9
Algebra Tiles — units . . . . . . . . . . . . . . . . . . . . .10
Algebra Tiles — variables . . . . . . . . . . . . . . . . .11
Integer Models Summary . . . . . . . . . . . . . . . . . .12
Polynomial Models Summary . . . . . . . . . . . . . . .13
Equation Models Summary . . . . . . . . . . . . . . . .14
Integer Mat . . . . . . . . . . . . . . . . . . . . . . . . . . . .15
Equation Mat . . . . . . . . . . . . . . . . . . . . . . . . . . .16
Product Mat . . . . . . . . . . . . . . . . . . . . . . . . . . . .17
Rectangular Dot Paper . . . . . . . . . . . . . . . . . . . .18
Isometric Dot Paper . . . . . . . . . . . . . . . . . . . . . .19
Problem Solving Guide . . . . . . . . . . . . . . . . . . .20
Spinners . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .21
Die Patterns . . . . . . . . . . . . . . . . . . . . . . . . . . . .22
Protractors . . . . . . . . . . . . . . . . . . . . . . . . . . . . .23
Rulers . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .24
Normal Distribution Curve . . . . . . . . . . . . . . . . .25
Algebra 1 Activities Page
CHAPTER 1
Teaching Notes and Overview . . . . . . 27
1-2 Mini-Project: Evaluating Expressions .30
1-5 Using Overhead Manipulatives:
Distributive Property . . . . . . . . . . .31
1-5 Algebra Activity Recording Sheet . . . .33
1-7 Algebra Activity: Make a Model . . . . .34
1-8 Algebra Activity Recording Sheet . . . .35
CHAPTER 2
Teaching Notes and Overview . . . . . . 36
2-2 Mini-Project: Adding and Subtracting
Integers . . . . . . . . . . . . . . . . . . . . .39
2-2 Using Overhead Manipulatives:
Adding and Subtracting Integers . . .40
2-3 Using Overhead Manipulatives:
Multiplying Integers . . . . . . . . . . . .42
2-4 Algebra Activity: Multiplying and
Dividing Rational Numbers . . . . . .43
2-5 Using Overhead Manipulatives:
Measures of Central Tendency . . . .45
2-5 Using Overhead Manipulatives:
Statistics and Line Plots . . . . . . . . .46
2-6 Using Overhead Manipulatives:
Experimental Probability . . . . . . . .48
2-6 Algebra Activity Recording
Sheet . . . . . . . . . . . . . . . . . . . . . . .49
CHAPTER 3
Teaching Notes and Overview . . . . . . 50
3-1 Algebra Activity Recording Sheet . . . .56
3-1 Algebra Activity: Formulas . . . . . . . . .57
3-2 Algebra Activity Recording Sheet . . . .59
3-2 Using Overhead Manipulatives:
Solving Equations by Using
Addition and Subtraction . . . . . . . .60
3-2 Mini-Project: Using Logic . . . . . . . . . .65
3-3 Using Overhead Manipulatives:
Solving Equations by Using
Multiplication and Division . . . . . 66
3-4 Algebra Activity Recording Sheet . . . .68
3-4 Using Overhead Manipulatives:
Solving Equations Using More
Than One Operation . . . . . . . . . . . .69
3-4 Algebra Activity: Solving Equations . . .1
3-5 Using Overhead Manipulatives:
Solving Equations with the Variable
on Both Sides . . . . . . . . . . . . . . . . .73
3-6 Using Overhead Manipulatives:
Proportions . . . . . . . . . . . . . . . . . . .75
3-6 Using Overhead Manipulatives:
Solving Percent Problems . . . . . . . .76
3-7 Using Overhead Manipulatives:
Percent of Change . . . . . . . . . . . . .77
3-7 Mini-Project: The Music Business . . . .79
3-8 Algebra Activity: Mixture Problems . .80
CHAPTER 4
Teaching Notes and Overview . . . . . . 82
4-3 Using Overhead Manipulatives:
Relations . . . . . . . . . . . . . . . . . . . .85
4-3 Algebra Activity Recording Sheet . . . .86
4-5 Using Overhead Manipulatives:
Graphing Linear Relations . . . . . . .87
4-6 Using Overhead Manipulatives:
Functions . . . . . . . . . . . . . . . . . . . .88
4-6 Mini-Project: Functions or Not? . . . . .89
4-8 Algebra Activity Recording Sheet . . . .90
4-8 Algebra Activity: Functions . . . . . . . .91
CHAPTER 5
Teaching Notes and Overview . . . . . . 93
5-1 Using Overhead Manipulatives:
Find the Slope of a Line . . . . . . . . .96
5-3 Algebra Activity Recording Sheet . . . .98
5-3 Using Overhead Manipulatives: Slope-
Intercept Form of Linear Equations 99
5-5 Using Overhead Manipulatives:
Linear Equations in Point-Slope
and Standard Form . . . . . . . . . . .100
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