Breaking Away from the Math Book II More

Are you tired of your students complaining about repeating times tables and cringing at the mention of word problems? Ease their fears and revitalize the class by implementing these 60 exciting lessons. The three different formats (brief lesson plans, longer narratives that describe how to teach the lessons, and mathematical topic discussions) allow teachers to develop and encourage their students' confidence and interest in mathematics.

Preface

xiii

Acknowledgements

xv

Introduction

xvii

SECTION I. COUNTING AND NUMBERS

Counting Stones by Grouping and Using the Memory Key

3

(4)

Props

3

(1)

The Lesson

3

(4)

Horse Trader

7

(4)

The Lesson

7

(4)

Jar of Stones

11

(6)

Prerequisites

11

(1)

Props

11

(1)

Notes

11

(1)

The Lesson

11

(6)

Toothpick Numbers

17

(4)

The Lesson

17

(1)

Remarks

18

(3)

Arithmetic with Manipulatives

21

(6)

The Lesson

21

(5)

Comments

26

(1)

Thirty-six Pennies

27

(6)

Props

27

(1)

The Lesson

27

(6)

Subtraction Table

33

(4)

The Lesson

33

(4)

Squirrels' Race

37

(8)

Props

37

(1)

The Lesson

37

(6)

Comment

43

(2)

A Modern Abacus

45

(4)

Introduction

45

(1)

The Lesson

45

(1)

Example

46

(3)

Modern Counting Boards

49

(10)

The Lesson

49

(8)

Remarks

57

(2)

Abax: A Computing Device

59

(14)

The Lesson

59

(14)

Counting by Multiplication

73

(4)

Props

73

(1)

The Lesson

73

(4)

Multiplication up to 100

77

(2)

The Lesson

77

(1)

Remarks

78

(1)

Example of a Conversation

78

(1)

Counting Straws

79

(6)

The Lesson

79

(1)

Comments

79

(6)

SECTION II. MONEY

Buying Donuts

85

(4)

The Lesson

85

(4)

Ali's Natural Foods

89

(2)

Prop

89

(1)

The Lesson

89

(2)

Shoe Sale

91

(2)

The Lesson

91

(2)

Pay `n' Pack

93

(2)

Props

93

(1)

The Lesson

93

(2)

Selling Candy

95

(2)

The Lesson

95

(2)

Prices in 1870

97

(4)

The Lesson

97

(4)

SECTION III. PUZZLES AND GAMES

Birds and Cages

101

(4)

Props

101

(1)

The Lesson

101

(4)

Puzzle with Dominoes

105

(2)

The Lesson

105

(2)

Number Game: Getting to One

107

(2)

The Lesson

107

(2)

A Basket Full of Eggs

109

(2)

The Lesson

109

(2)

Digital Clock

111

(2)

The Lesson

111

(2)

Old Shepherd's Will

113

(2)

The Lesson

113

(2)

Smart Sally

115

(4)

Prerequisites

115

(1)

Props and Tools

115

(1)

Remark

115

(1)

Story

115

(4)

Square Money

119

(4)

The Lesson

119

(1)

Examples

120

(1)

Solution

120

(3)

SECTION IV. MEASURING

Circles and Angles

123

(4)

Props

123

(1)

The Lesson

123

(4)

Quadrilateral

127

(4)

Props for Each Child

127

(1)

Other Props

127

(1)

The Lesson

127

(4)

Buttons

131

(4)

Props

131

(1)

The Lesson

131

(2)

Important Remark

133

(2)

How to Measure the Value of Pi

135

(6)

Props

135

(1)

The Lesson

135

(6)

SECTION V. SCIENCE

A Class Project about Temperature

141

(4)

Prop

141

(1)

The Lesson

141

(2)

Remark

143

(2)

Measuring Temperature

145

(4)

About Thermometers

145

(1)

Props

145

(1)

The Lesson

145

(4)

Weighing

149

(4)

Introduction

149

(1)

The Lesson

149

(4)

Weighing Rocks

153

(2)

Props

153

(1)

The Lesson

153

(2)

What Is the Density of a Small Rock?

155

(2)

Props

155

(1)

The Lesson

155

(2)

Nutrition Content of a Snack

157

(4)

The Lesson

157

(4)

Comet

161

(10)

The Lesson

161

(10)

SECTION VI. CONSTRUCTIONS

Part A. Two-dimensional Constructions

Circles

171

(2)

Props

171

(1)

The Lessons

171

(2)

Hanging Star

173

(4)

Props

173

(1)

The Lesson

173

(4)

Yin and Yang

177

(4)

Props

177

(1)

The Lesson

177

(4)

Olympic Rings

181

(2)

Props

181

(1)

The Lesson

181

(2)

Snowflake

183

(4)

The Lesson

183

(4)

Fractions of a Circle, AKA Caterpillar

187

(4)

Props

187

(1)

The Lesson

187

(4)

Square Inch Circles

191

(4)

Introduction

191

(1)

Task

191

(1)

Props

191

(1)

The Lesson

191

(4)

Fractions with Popsicle Sticks

195

(4)

Organization and Props

195

(1)

The Lesson

195

(4)

Valentine Heart

199

(6)

Props

199

(1)

The Lesson

199

(6)

Cutting Simple Jigsaw Puzzles

205

(6)

The Lesson

205

(1)

Task

205

(1)

Suggested Method

206

(1)

Questions

206

(5)

Part B. Three-dimensional Constructions

Making a Cube

211

(4)

Props

211

(1)

The Lesson

211

(4)

Making Open Cubic Boxes

215

(4)

Props

215

(1)

The Lesson

215

(4)

Cubic Inches

219

(4)

Prerequisite

219

(1)

The Lesson

219

(4)

Dry Measure

223

(2)

Props and Tools

223

(1)

The Lesson

223

(1)

Remarks

224

(1)

Boxes for Chocolate

225

(4)

Introduction

225

(1)

Props

225

(1)

The Lesson

225

(4)

Solids Built from Equilateral Triangles

229

(10)

The Lesson

229

(9)

Remark

238

(1)

Three Congruent Pyramids That Form a Cube

239

(6)

The Lesson

239

(6)

SECTION VII. PYTHAGOREAN THEOREM

Pythagorean Theorem

245

(12)

Introduction

245

(1)

The Lesson

245

(6)

Pythagorean Puzzle

251

(2)

Yet Another Proof of the Pythagorean Theorem

253

(1)

Pythagorean Triples

254

(3)

SECTION VIII. MISCELLANEOUS

One Third

257

(4)

The Lesson

257

(4)

Statistics with Pennies

261

(2)

The Lesson

261

(2)

The Concept of Infinity

263

(4)

The Lesson

263

(4)

SECTION IX. LEARNING HOW TO USE A CALCULATOR

A Calculator Tutorial

267

Introduction

267

(1)

Understanding How a Calculator Works

267

(2)

Examples of Simple Programs

269

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Breaking Away from the Math Book II More Creative Projects for Grades K-8

Summary

Table of Contents

Supplemental Materials