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