Introduction | |
1. MATHEMATICAL REASONING | |
Inductive Reasoning | |
Deductive Reasoning | |
Inductive and Deductive Reasoning | |
Patterns | |
Problem Solving | |
Problem Solving Strategies | |
2. SETS AND FUNCTIONS | |
Sets | |
Intersection, Union and Venn Diagrams | |
Functions and Relations | |
3. WHOLE NUMBERS | |
Numeration Systems | |
Addition and Subtraction of Whole Numbers | |
Multiplication and Division of Whole Numbers | |
Properties of Whole-Number Operations | |
Algorithms for Whole-Number Addition and Subtraction | |
Algorithms for Whole-Number Multiplication and Divisions | |
Whole Numbers: Mental Computation and Estimation | |
Place Value and Algorithms in Other Bases | |
4. NUMBER THEORY | |
Factors | |
Divisibility | |
Primes and Composites | |
Common Factors and Multiples | |
5. INTEGERS | |
Addition and Subtraction of Integers | |
Multiplication and Division of Integers | |
Properties of Integer Operations | |
6. RATIONAL NUMBERS AS FRACTIONS | |
Rational Numbers | |
Addition and Subtraction of Rational Numbers | |
Multiplication and Division of Rational Numbers | |
Rational Numbers: Properties, Estimation, and Error Patterns | |
7. DECIMALS, PERCENTS AND REAL NUMBERS | |
Decimals: Place Value, Estimation and Mental Computation | |
Decimal Arithmetic and Error Patterns | |
Ratio and Proportion | |
Percents | |
Percents: Mental Computation, Estimation and Change | |
Rational, Irrational, and Real Numbers | |
8. INTRODUCTORY GEOMETRY | |
Beginning Geometry | |
Polygons | |
Triangles, Quadrilaterals and Circles | |
Angle Measures of Polygons | |
Three-Dimensional Geometry | |
Viewing and Drawing Space Figures | |
9. CONGRUENCE, SYMETRY AND SIMILARITY | |
Transformations and Congruence | |
Applications of Transformations | |
Constructions and Congruence | |
Symmetry | |
Similarity and Dilations | |
10. MEASUREMENT | |
Systems of Measurement | |
Perimeter and Area | |
Area of Quadrilaterals, Triangles, and Circles | |
The Pythagorean Theorem | |
Surface Area | |
Volume | |
Lengths, Areas, and Volumes of Similar Figures | |
11. ALGEBRA AND COORDINATE GEOMETRY | |
The Language of Algebra | |
Equations and Linear Functions | |
Non-Linear Functions | |
Systems of Equations and Multiple Representations | |
Coordinate Geometry and Networks | |
12. STATISTICS | |
Statistical Graphs and Tables | |
Misleading Graphs and Statistics | |
Measurements of the Center | |
Measuring Spread | |
Samples | |
Standardized Test Scores | |
13. PROBABILITY | |
Experimental and Theoretical Probability | |
Probability Rules and Simulations | |
Counting | |
Independent and Dependent Events | |
Expected Values and Odds |