Patterns in Arithmetic: Book 1 - Parent/Teacher Guide

Contents

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

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

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

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

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

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

Sequence Guides.......................................................xxv

Resources ................................................................xxix

General Math

Beginning Pattern: Whole Body Motion........................1

Beginning Pattern: Recording.........................................3

Circle Game.....................................................................5

Penny Game....................................................................6

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

Even and Odd..................................................................8

What's the Rule?: Manipulative.....................................11

What's the Rule?: Recording.........................................13

Place Value: Counting Cuckoos....................................14

Place Value: Manipulative.............................................16

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

Trading Game................................................................19

Place Value: Three Digits..............................................21

Place Value: Three Digits - Recording..........................24

Dice Roll: Counting and Recording..............................25

Number Patterns............................................................26

Place Value: Base Ten...................................................27

Adding with Dice...........................................................28

Comparing and Number Lines.......................................30

Equal To and Greater Than and Less Than....................32

Addition Patterns...........................................................33

Ordinal Numbers..........................................................35

Dice Race......................................................................36

Addition

Fishy Game...................................................................37

Fishy Game: Recording Number Sentences.................39

Exploring Combinations: Two Colors..........................41

Exploring Combinations: Three Colors........................42

Domino Games.............................................................43

How Many Dots?..........................................................45

How Many Dots?: Recording.......................................46

Addition: Vertical Format..............................................47

Fishy Game and Recording Stories...............................50

Gus the Bus Driver........................................................51

Breaking Up Numbers: Two Circles.............................52

Breaking Up Numbers: Two Circles - Recording.......55

Breaking Up Numbers: Three Circles............................59

Breaking Up Numbers: Test for Understanding.........62

Breaking Up Numbers: Four Circles.............................63

Breaking Up Numbers: Column Addition.....................65

Breaking Up Numbers with Cuisenaire Rods................66

Patterns in Sums: Column Addition - Make Tens.........67

Train Pattern..................................................................68

Discovering the Commutative Principle.........................69

Circle Math: Equality...................................................72

Subtraction

Story Problems: Manipulative......................................73

Story Problems by Students..........................................77

Recording: Representational.........................................81

Recording: Representational with Number Sentences...83

What's Left: Manipulative.............................................85

What's Left: Recording with Numerals........................90

What's Left: Recording Number Sentences................92

Gus the Bus Driver......................................................96

Vertical Format: Manipulative.....................................97

Vertical Format: Recording.......................................100

Multiplication.

Multiplication Convention........................................101

Multiplication: Manipulative...................................103

Division

Building Stacks.......................................................105

Story Problems.......................................................106

Fractions

Sharing Food and Sharing Play Dough.................107

Pattern Block Fractions: Manipulative...................108

Answer Key to the Student Workbook

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