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 WholeNumber Operations 

Algorithms for WholeNumber Addition and Subtraction 

Algorithms for WholeNumber 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 

ThreeDimensional 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 

NonLinear 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 
