## Table of Contents

**1. An Introduction to Problem Solving**

Activity 1 When You Don't Know What to Do

Activity 2 What's the Last Card?

Activity 3 An Ancient Game

Activity 4 Magic Number Tricks

Activity 5 Missing Persons Report

Activity 6 Who Dunit?

Activity 7 What's the Number?

Activity 8 Eliminate the Impossible

Activity 9 Candies, Couples, and a Quiz

Activity 10 Ten People in a Canoe

Activity 11 Pictorial Patterns

Activity 12 Number Patterns

Activity 13 Fascinating Fibonacci

Activity 14 What's the Rule?

Activity 15 Polygons and Diagonals

Chapter Summary

**2. Numeration Systems and Sets**

Activity 1 Regrouping Numbers

Activity 2 Find the Missing Numbers

Activity 3 What's in the Loops?

Activity 4 Loop de Loops

Chapter Summary

**3. Whole Numbers and Their Operations**

Activity 1 It All Adds Up

Activity 2 What's the Difference?

Activity 3 A Visit to Fouria

Activity 4 Multiplication Arrays

Activity 5 Find the Missing Factor

Activity 6 How Many Cookies?

Activity 7 Multi-digit Multiplication

Activity 8 Division Array

Activity 9 Multi-digit Division

Activity 10 Three Strikes and You're Out

Activity 11 Target Number

Chapter Summary

**4. Algebraic Thinking**

Activity 1 Patterns and Expressions

Activity 2 The Function Machine

Activity 3 What's My Function?

Activity 4 Graphs and Stories

Chapter Summary

**5. Integers and Number Theory**

Activity 1 Charged Particles

Activity 2 Coin Counters

Activity 3 Additional Patterns

Activity 4 Subtracting Integers

Activity 5 A Clown on a Tightrope

Activity 6 Subtraction Patterns

Activity 7 Multiplication and Division Patterns

Activity 8 Integer (x) and (/) Contig

Activity 9 Great Divide Game

Activity 10 A Square Experiment

Activity 11 A Sieve of Another Sort

Activity 12 The Factor Game

Activity 13 How Many Factors?

Activity 14 Interesting Numbers

Activity 15 Tiling with Squares

Activity 16 Pool Factors

Chapter Summary

**6. Rational Numbers as Fractions**

Activity 1 What is a Fraction?

Activity 2 Equivalent Fractions

Activity 3 Fraction War

Activity 4 How Big Is It?

Activity 5 What Comes First?

Activity 6 Square Fractions

Activity 7 Adding and Subtracting Fractions

Activity 8 Multiplying Fractions

Activity 9 Dividing Fractions

Activity 10 The King's Problem

Activity 11 Paper Powers

Chapter Summary

**7. Decimals and Real Numbers**

Activity 1 What's My Name?

Activity 2 Who's First?

Activity 3 Deci-Order

Activity 4 Race for the Flat

Activity 5 Empty the Board

Activity 6 Decimal Arrays

Activity 7 Decimal Multiplication

Activity 8 Dice and Decimals

Activity 9 Target Number Revisited

Activity 10 Repeating Decimals

Chapter Summary

**8. Proportional Reasoning, Percents, and Applications**

1 Professors Short and Tall

2 People Proportions

3 A Call to the Border

4 What is Percent?

5 What Does It Mean?

Chapter Summary

**9. Probability**

Activity 1 What Are the Chances?

Activity 2 Theoretical Probability

Activity 3 The Spinner Game

Activity 4 Numbers That Predict

Activity 5 It's In The Bag

Activity 6 What's The Distribution?

Activity 7 Paper-Scissors-Rock

Activity 8 Simulate It

Activity 9 The Mystery Cube

Activity 10 How Many Arrangements

Activity 11 Pascal's Probabilities

Chapter Summary

**10. Statistics: The Interpretation of Data**

Activity 1 Graphing m&m's®

Activity 2 Grouped Data

Activity 3 What's the Average?

Activity 4 The Weather Report

Activity 5 Finger-Snapping Time

Activity 6 Gaps and Clusters

Activity 7 Are Women Catching Up?

Activity 8 Populations and Samples

Activity 9 Two Change or Not to Change

Activity 10 What's in the Bag?

Chapter Summary

**11. Introductory Geometry**

Activity 1 What's the Angle?

Activity 2 Inside or Outside?

Activity 3 Name that Polygon

Activity 4 Triangle Properties–Angles

Activity 5 Angles on Pattern Blocks

Activity 6 Sum of Interior/Exterior Angles

Activity 7 Stars and Angles

Activity 8 Spatial Visualization

Activity 9 A View from the Top

Activity 10 Map Coloring

Chapter Summary

**12. Constructions, Congruence, and Similarity**

Activity 1 Triangle Properties–Sides

Activity 2 To Be or Not to Be Congruent?

Activity 3 Paper Folding Construction

Activity 4 Patter Block Similarity

Activity 5 Similar Triangles

Activity 6 Side Splitter Theorem

Activity 7 Outdoor Geometry

Activity 8 Exploring Linear Functions

Chapter Summary

**13. Concepts of Measurement**

Activity 1 Units of Measure

Activity 2 Regular Polygons in a Row

Activity 3 What's My Area?

Activity 4 Areas of Polygons

Activity 5 Pick's Theorem

Activity 6 Graphing Rectangles

Activity 7 From Rectangles to Parallelograms

Activity 8 From Parallelograms to Triangles

Activity 9 From Parallelograms to Trapezoids

Activity 10 Pythagorean Puzzles

Activity 11 Right or Not?

Activity 12 Surface Area

Activity 13 Volume of a Rectangular Solid

Activity 14 Pyramids and Cones

Activity 15 Compare Volume to Surface Area

Chapter Summary

**14. Motion Geometry and Tessellations**

Activity 1 Glide Reflections

Activity 2 Size Transformations

Activity 3 Cut It Out

Activity 4 Draw It

Activity 5 Tessellations

Chapter Summary