This revised edition features activities that can be used to develop, reinforce, and/or apply mathematical concepts. Activities can also be adapted for use with elementary students at a later time. They are closely keyed to the text and are ordered by the topics and skills within each chapter. References to these activities are in the margin of the main text.
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