Syllabus of Topics

Chapter 1: Viewing Mathematics
1.1 Mathematics as Communication
1.2 Mathematics as Reasoning
1.3 Mathematics as Problem Solving
1.4 A Connected Balanced View of Mathematics

Chapter 2: Sets and Whole Number Operations and Properties
2.1 Sets and Whole Numbers
2.2 Addition and Subtraction of Whole Numbers
2.3 Multiplication and Division of Whole Numbers
2.4 Numeration

Chapter 3: Estimation and Computation
3.1 Strategies and Procedures for Mental Computation
3.2 Strategies and Procedures for Estimation
3.3 Algorithms for Addition and Subtractions
3.4 Algorithms for Multiplication and Division

Chapter 4: Number Theory
4.1 Factors and Divisibility
4.2 Prime and Composite Numbers

Chapter 5: Understanding Integer Operations and Properties
5.1 Addition, Subtraction, and Order Properties of Integers
5.2 Multiplication, Division, and Other Properties of Integers

Chapter 6: Rational Number Operations and Properties
6.1 Rational Number Ideas and Symbols
6.2 Adding and Subtracting Rational Numbers
6.3 Multiplying Rational Numbers
6.4 Dividing, Comparing, and Ordering Rational Numbers

Chapter 7: Proportional Reasoning
7.1 The Concept of Ratio
7.2 Proportional Variation and Solving Proportions
7.3 Solving Percent Problems Solids