Patterns in Arithmetic: Book 2 - Parent/Teacher Guide

Contents

Foreword ................................................................i

Introduction ..........................................................iii

A Guideline to the Lessons ..................................vii

Materials ..............................................................xv

Evaluation ...........................................................xvi

Arithmetic Conventions ....................................xxiv

Sequence Guides ..............................................xxvi

Resources .........................................................xxx

General Math

What's the Rule?: Manipulative ...........................1

What's the Rule?: Recording ...............................3

Families of Facts ..................................................4

Sorting .................................................................7

Circle Game .........................................................8

Trading Game ......................................................9

Place Value: Counting Cuckoos ........................13

Place Value: Manipulative .................................15

Place Value: Recording .....................................17

Place Value: Three Digits ..................................19

Place Value: Three Digits - Recording ..............22

Place Value: Base Ten ......................................23

Trading Game: Base Ten ..................................25

Even and Odd ....................................................26

Place Value: Three Ways to Record .................30

Comparing and Number Lines ..........................31

Exploring Patterns in Combinations .................34

Array Patterns ...................................................35

Number Patterns ...............................................37

Dice Race .........................................................38

Sweet Sister Sally .............................................39

Properties of Addition ......................................40

Addition

Story Problems ................................................41

Breaking Up Numbers: Three Circles ............42

Addition Patterns with Cuisenaire Rods ..........45

Breaking Up Numbers: Missing Addend .......46

Fifteen .............................................................48

Breaking Up Practice: Larger Numbers .........49

Rainbow Patterns ............................................50

Patterns in Sums: Doubles .............................52

Patterns in Sums: Tens ...................................53

Patterns in Sums: Column Addition ...............54

Circle Math Addition: Manipulative ...............55

Circle Math Addition: Recording ...................58

Circle Math Addition: Troubleshooter ...........61

Crazy Mixed Up Rainbow ..............................64

Circle Math Addition with Arrows ..................65

Circle Math Addition Missing Numbers .........67

Regrouping: Introduction ...............................68

Discovering Easier Ways ................................70

Addition with Place Value Boards ...................71

Addition with Place Value Boards: Base Ten..72

Funny Problems .............................................73

Base Ten: Three Ways to Record ..................74

Base Ten: Four Ways to Record ....................75

Break Up in Tens and Ones: No Regrouping .76

Nonstandard Regrouping: Break Up in Tens

and Ones ...................................................77

Nonstandard Regrouping:

Ones Only in the Answer ...............................79

Standard Regrouping: Discovery ..................82

Standard Regrouping: Show Me ..................84

Standard Regrouping: Short Way ................86

Subtraction

Story Problems .............................................89

Vertical Format .............................................91

Two Circles: Manipulative ...........................92

Troubleshooter .............................................96

Difference Between ....................................100

Three Circles ..............................................102

Multiplication.

Multiplication Convention .........................105

Number Concept: Manipulative ................107

Number Concept: Recording ....................110

Number Sentence: Recording ...................112

Patterns .....................................................116

Pattern Counts ..........................................117

Trains on Tracks ......................................118

Stacks ......................................................120

Division

Story Problems .......................................121

Building Stacks .......................................122

Recording Stacks ....................................123

Trains on Tracks .....................................124

Tiles ........................................................126

Fractions

Sharing Food and Sharing Play Dough ..127

Beginning Fractions Activities ................128

Pattern Block Fractions ...........................130

Sorting Fractions .....................................132

Pattern Block Games ...............................133

Numerators Greater Than One ................134

Black Line Masters

Answer Key to Student Workbook