LESSONS FOR TEACHING

Chapter 1: An Introduction to Problem Solving
1-1	Explorations with Patterns
1-2	Mathematics and Problem Solving
1-3	Algebraic Thinking
1-4	Logic: An Introduction
Chapter 2: Sets, Whole Numbers, and Functions
2-1	Describing Sets
2-2	Other Set Operations and Their Properties
2-3	Addition and Subtraction of Whole Numbers
2-4	Multiplication and Division of Whole Numbers
2-5	Functions
Chapter 3: Whole-Number Computation
3-1	Numeration Systems
3-2	Algorithms for Whole-Number Addition and Subtraction
3-3	Algorithms for Whole-Number Multiplication and Division
3-4	Mental Mathematics and Estimation for Whole-Number Operations
Chapter 4: Integers and Number Theory
4-1	Integers and the Operations of Addition and Subtraction
4-2	Multiplication and Division of Integers
4-3	Divisibility
4-4	Prime and Composite Numbers
4-5	Greatest Common Divisor and Least Common Multiple
4-6	Clock and Modular Arithmetic
Chapter 5: Rational Numbers and Functions
5-1	The Set of Rational Numbers
5-2	Addition and Subtraction of Rational Numbers
5-3	Multiplication and Division of Rational Numbers
5-4	Proportional Reasoning
Chapter 6: Decimals, Percents, and Real Numbers
6-1	Introduction to Decimals
6-2	Operations on Decimals
6-3	Nonterminating Decimals
6-4	Percents
6-5	Computing Interest
6-6	Real Numbers
Chapter 7: Probability
7-1	How Probabilities Are Determined
7-2	Multistage Experiments with Tree Diagrams and Geometric Probabilities
7-3	Using Simulations in Probability
7-4	Odds and Expected Value
7-5	Methods of Counting
Chapter 8: Statistics: An Introduction
8-1	Statistical Graphs
8-2	Measures of Central Tendency and Variation
8-3	Abuses of Statistics
Chapter 9: Introductory Geometry
9-1	Basic Notions
9-2	Polygons
9-3	More About Angles
9-4	Geometry in Three Dimensions
9-5	Networks
Chapter 10: Constructions, Congruence, and Similarity
10-1	Congruence Through Constructions
10-2	Other Congruence Properties
10-3	Other Constructions
10-4	Similar Triangles and Similar Figures
10-5	Lines in a Cartesian Coordinate System
Chapter 11: Concepts of Measurement
11-1	Linear Measure
11-2	Areas of Polygons and Circles
11-3	The Pythagorean Theorem
11-4	Surface Areas
11-5	Volume, Mass, and Temperature
Chapter 12: Motion Geometry and Tessellations
12-1	Translations and Rotations
12-2	Reflections and Glide Reflections
12-3	Size Transformations
12-4	Symmetries
12-5	Tessellation of the Plane