Module 1:
Number Theory

  • Principles of Counting

  • Subitizing

  • Base 10 Blocks

  • Properties of Base 10 System

  • Other Base Systems

  • Decimal Squares

  • Decimals with Base 10 Blocks

  • Decimals on the Number Line

  • Decimal Strips

  • Comparing Decimals

Module 2:
Addition and Subtraction

  • Join and Separate Problems

  • Compare and Part-Part-Whole Problems

  • Direct Modeling Methods for Addition and Subtraction

  • Counting Methods for Addition and Subtraction

  • Addition Strategies

  • U.S. Traditional Addition Algorithm

  • Partial Sums Addition

  • Subtraction Strategies

  • U.S. Traditional Subtraction Algorithm

  • Equal Additions Subtraction

Module 3:
Multiplication and Division

  • Defining Multiplication

  • Multiplication Story Problems

  • Direct Modeling and Counting for Multiplication

  • Properties of Real Numbers

  • Multiplication Strategies

  • Partial Products

  • U.S. Traditional Multiplication Algorithm

  • Defining Division

  • Division Strategies

  • Long Division

Module 4:
Fractions

  • Definition of Fractions

  • Equivalent Fractions

  • Comparing Fractions

  • Adding and Subtracting Fractions

  • Multiplying Fractions

  • Dividing Fractions

  • Fractions and Decimals

Module 5:
Number Theory Revisited

  • Factors

  • Prime Factorizations

  • Divisibility

  • Divisibility Rules

  • Greatest Common Factors

  • Least Common Multiples

Module 6:
Ratios and Percents

  • Reasoning About Percent

  • Percent Increase and Decrease

  • Defining Ratios and Proportions

  • Solving Ratios

  • Unit Rates

  • Proportional Relationships

Module 7:
Geometry

  • Attributes

  • Polygons

  • Perimeter and Area

  • Quadrilaterals

  • Triangles

  • Circles

  • Nets

  • Polyhedra

  • Surface Area

  • Volume

  • Angle Measurements

  • Lines and Angles

  • Interior and Exterior Angles

Module 8:
Algebra

  • Algebraic Expressions

  • Algebraic Equality

  • Algebraic Equations

  • Algebraic Inequalities

  • Exponents

  • Introduction to Functions

  • Graphing Functions

  • Linear Relationships

  • Other Relationships

Module 9:
Probability

  • Probability Properties

  • Counting Methods

  • Addition Rule

  • Multiplication Rule

  • Conditional Probability

Module 10:
Statistics

  • Sampling Methods

  • Types of Data

  • Displaying Categorical Data

  • Displaying Numerical Data

  • Thinking About the Mean

  • Measures of Center

  • Weighted Averages

  • Data Distributions

  • Quartiles and Boxplots

  • Standard Deviation