Pre-Algebra Out Loud (Paperback)

About the Author ix

Acknowledgments xi

Introduction xiii

1 The Basic Tools of Algebra 1

Mini-Lesson 1.1 The Big Ideas of Algebra 2

Activity 1.1 The Writing Is on the Wall 4

Activity 1.2 Semantic Word Maps 7

Activity 1.3 Math Glossary 10

Activity 1.4 Concept Circles 12

Mini-Lesson 1.2 Solving Simple Equations 16

Activity 1.5 Math Story 18

Activity 1.6 Algorithm Writing 20

Activity 1.7 One-Minute Summary 23

2 Exploring Infinite Sets 25

Mini-Lesson 2.1 Infinite Sets 26

Activity 2.1 Magic Square 28

Activity 2.2 One-Minute Summary 33

Mini-Lesson 2.2 Properties of the Real Numbers 34

Activity 2.3 Graphic Organizers 38

Activity 2.4 Reading Math Symbols 41

Activity 2.5 Math Glossary 43

Activity 2.6 Semantic Feature Analysis 45

Activity 2.7 In Your Own Words: A Paraphrasing Activity 49

3 Topics in Integers 53

Mini-Lesson 3.1 Egyptian Multiplication 54

Activity 3.1 The Writing Is on the Wall 57

Activity 3.2 Concept Cards 59

Activity 3.3 Frayer Model 61

Mini-Lesson 3.2 Integral Exponents 64

Activity 3.4 What’s My Rule? 67

Activity 3.5 Comparison-and-Contrast Matrix 70

Activity 3.6 Knowledge Ratings 74

4 Number Theory 77

Mini-Lesson 4.1 Divisibility Rules 78

Activity 4.1 Number Riddles 81

Activity 4.2 In Your Own Words: A Paraphrasing Activity 84

Activity 4.3 Magic Square 86

Mini-Lesson 4.2 Greatest Common Denominator and Least Common Multiple 89

Activity 4.4 Semantic Feature Analysis 93

5 Fractions, Decimals, and Percents 99

Mini-Lesson 5.1 Pizza Math 100

Activity 5.1 What’s My Rule? 102

Activity 5.2 Writing Prompts 104

Mini-Lesson 5.2 Conversions 106

Activity 5.3 Comparison-and-Contrast Matrix 108

Activity 5.4 Semantic Word Maps 111

6 Equations and Inequalities 115

Mini-Lesson 6.1 Solving Multistep Equations 116

Activity 6.1 In Your Own Words: A Paraphrasing Activity 118

Activity 6.2 Method of Operation 121

Mini-Lesson 6.2 Solving Linear Inequalities 123

Activity 6.3 Translating Words into Algebra 126

Activity 6.4 Writing Word Problems 128

Activity 6.5 Math Glossary 131

Activity 6.6 Biographies of Algebraists 133

7 Visualizing Algebra by Graphing Lines 137

Mini-Lesson 7.1 The xy-Plane and Lines 138

Activity 7.1 Muddiest Point 141

Activity 7.2 Reading and Understanding Graphs 143

Activity 7.3 K-W-L 146

Mini-Lesson 7.2 The Slope of a Line 149

Activity 7.4 Semantic Feature Analysis 151

Activity 7.5 Anticipation Guide 154

8 Geometry 157

Mini-Lesson 8.1 Plane Figures 158

Activity 8.1 Geometric Figure Description 161

Activity 8.2 Semantic Feature Analysis 165

Mini-Lesson 8.2 Pyramids and Prisms 168

Activity 8.3 Writing a Method of Operation 170

Activity 8.4 Math Story 175

Activity 8.5 In Your Own Words: A Paraphrasing Activity 179

Activity 8.6 Biographies of Geometers 181

References 185