Part II - Operations & Number Structure

College Mathematics | Math for Teachers | Part II


Module 3: Meaning of Addition & Subtraction

What Does Addition Mean?

What Does Subtraction Mean?

Addition & Subtraction Story Problems

Direct Modeling with Objects & Drawings

Counting Strategies for Addition & Subtraction


Module 4: Addition & Subtraction Strategies & Algorithms

Building Mental Addition Strategies

Building Mental Subtraction Strategies

Making Friendly Numbers

Understanding the Standard Addition Algorithm

Understanding the Standard Subtraction Algorithm

Why Regrouping Works

Analyzing Addition & Subtraction Strategies


Module 5: Multiplication & Division Concepts

Multiplication & Division Story Problems

Multiplication Strategies

Making Sense of Division

Division Strategies

Connections Between Multiplication & Division


Module 6: Multiplication & Division Algorithms

Multiplication Algorithms

Division Algorithms

Partial Products & Partial Quotients

Comparing Alternative Algorithms


Module 7: Fractions as Numbers

Introduction to Fractions

Equivalent Fractions

Fraction Comparisons

Fractions to Decimals

Fractions on the Number Line

Fractions as Part-Whole, Measure, Quotient, & Operator


Module 8: Fraction Operations

Addition & Subtraction of Fractions

Multiplication of Fractions

Division of Fractions

Visual Models for Fraction Operations


Module 9: Factors & Number Structure

Prime vs. Composite Numbers

Factors & Prime Factorizations

Divisibility & Divisibility Rules

Greatest Common Factors

Least Common Multiples