1. Foundations for Learning Mathematics
Section 1.1 Getting Comfortable with Mathematics
Section 1.2 Problem-Solving
Section 1.3 Patterns
Section 1.4 Representation
Section 1.5 Reasoning and Proof
Section 1.6 Communication
Section 1.7 Connections |
6. Proportional Reasoning
Section 6.1 Ratio and Proportion
Section 6.2 Percents |
7. Uncertainty: Data and Chance
Section 7.1 Representing and Interpreting Data
Section 7.2 Distributions: Centers and Spreads
Section 7.3 Concepts Related to Chance
Section 7.4 Counting and Chance |
2. Fundamental Concepts
Section 2.1 Sets
Section 2.2 Algebraic Thinking
Section 2.3 Numeration |
8. Geometry as Shape
Section 8.1 Basic Ideas and Building Blocks
Section 8.2 Two-Dimensional Figures
Section 8.3 Three-Dimensional Figures |
3. The Four Fundamental Operations of Arithmetic
Section 3.1 Understanding Addition
Section 3.2 Understanding Subtraction
Section 3.3 Understanding Multiplication
Section 3.4 Understanding Division |
9. Geometry as Transforming Shapes
Section 9.1 Congruence Transformations
Section 9.2 Symmetry and Tessellations
Section 9.3 Similarity
Section 9.4 Topology |
4. Number Theory
Section 4.1 Divisibility and Related Concepts
Section 4.2 Prime and Composite Numbers
Section 4.3 Greatest Common Factor and Least Common Multiple |
10. Geometry as Measurement
Section 10.1 Systems of Measurement
Section 10.2 Perimeter and Area
Section 10.3 Surface Area and Volume |
5. Extending the Number System
Section 5.1 Integers
Section 5.2 Fractions and Rational Numbers
Section 5.3 Understanding Operations with Fractions
Section 5.4 Beyond Integers and Fractions: Decimals, Exponents, and Real Numbers |
Appendix A. Principles and Standards for School Mathematics
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| Answers to Selected Exercises |
