*My Math* Chapter 2: Multiply Whole Numbers

Updated 9-25-19

In this chapter, students will use the commutative, associative, and distributive properties to develop an algorithm for whole number multiplication.

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Chapter 2 Downloads

In this chapter, students will use the commutative, associative, and distributive properties to develop an algorithm for whole number multiplication.

**Chapter 2 Objectives:**- Use arrays to describe multiplication.
- Apply the associative and commutative properties of multiplication.
- Identify prime and composite numbers.
- Find the prime factorization of numbers.
- Use powers and exponents in expressions.
- Use extended facts to multiply by powers of 10.
- Apply the distributive property to multiply whole numbers using an area model.
- Estimate products of whole numbers.
- Use an algorithm to multiply whole numbers.

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*McGraw-Hill My Math*web site to access more information about this chapter, including visual vocabulary cards, an interactive journal, homework pages, video tutorials, and much more. Please contact Mr. Bowen if you do not know your username/password.Chapter 2 Downloads

- Chapter 2 My Homework Answer Keys
- Chapter 2 Review Answer Key
- Multiplication Algorithms
- Lattice Multiplication with Decimals PowerPoint
- Lattice Multiplication PowerPoint (from Everyday Math)
- Partial Products PowerPoint (from Everyday Math)
- Divisibility Rules Flowchart
- Divisibility Rules Practice Enrichment
- Divisibility Riddles Enrichment

## Chapter 2 Lesson Resources

Listed below are chapter lessons from the

*McGraw Hill My Math*text. Please note that these lessons may be modified, rearranged, or omitted. Supplemental lessons will be added as needed.

**Supplemental Lesson: Commutative Property, Arrays**

Video Tutorials

- Multiplication Vocabulary and Rectangular Arrays (by Mr. Bowen)
- Commutative and Associative Properties (by Mr. Bowen)
- Visualize Multiplication (build arrays - requires Java)
- Ways to Represent Multiplication (Khan Academy)
- Commutative Property of Multiplication (Khan Academy)
- Associative Property of Multiplication (Khan Academy)
- Properties (MrMathBlog)

**Supplemental Lesson: Factors, Prime/Composite Numbers**

Downloads Video Tutorials

- Factoring Numbers (by Mr. Bowen)
- Factors of Numbers - Examples (by Mr. Bowen)
- Finding Factors of a Number (Khan Academy)
- Finding Factors and Multiples (Khan Academy)
- Prime Numbers (Khan Academy)
- Recognizing Prime and Composite Numbers (Khan Academy)
- Sieve of Eratosthenes (Eddie Woo)
- Divisibility Rules (by Mr. Bowen)
- Divisibility Riddles (by Mr. Bowen)
- Divisibility Rules (Khan Academy)

- Factorization - Visual (Geogebra Interactive)
- Factors Diagrams (animation)
- Arithmetic Workout (Interactive, try "factors")
- Is This Prime? Game
- Number Munchers Game
- Factors Marbles Game
- Octopus Multiples Game

**Lesson 1: Prime Factorization**

Downloads Video Tutorials

- Prime Factorization (by Mr. Bowen)
- Prime Factorization Examples (by Mr. Bowen)
- Prime Factorization (Khan Academy)

- Prime Tree (Geogebra interactive)
- Factor Tree (Virtual manipulative - requires Java)
- Factor Trees Game
- Prime Factorization Forest Game

**Lesson 3: Powers and Exponents**

Downloads Video Tutorials

- Exponents (by Mr. Bowen)
- Evaluating Exponents - Examples (by Mr. Bowen)
- Exponential Form - Examples (by Mr. Bowen)
- Intro to Exponents (Khan Academy)

**Lesson 4: Multiplication Patterns**

Downloads Video Tutorials

- Multiply by Powers of 10 (by Mr. Bowen)
- Extended Multiplication Facts (by Mr. Bowen)
- Extended Multiplication Facts - old version (by Mr. Bowen)
- Extended Multiplication Facts with Missing Factors (by Mr. Bowen)
- Multiplying by Multiples of 10 (Khan Academy)

- Multiply/Divide by Power of 10 (Geogebra Interactive)

**Lesson 6: Hands-On: Use Partial Products and the Distributive Property**

Downloads

- Homework 2-6 Answer Key
- Partial Products PowerPoint (from Everyday Math)

- Partial Products - Area Model (by Mr. Bowen)
- Partial Products Multiplication - Area Method (old, by Mr. Bowen)
- Multiplication Area Model 1 (Khan Academy)
- Multiplication Area Model 2 (Khan Academy)
- Partial Products (from Everyday Math)

- Partial Products Area Model (Geogebra Interactive)
- Partial Products Practice (Geogebra Interactive)
- Area Model Introduction (phET Interactive)
- Area Model Multiplication (phET Interactive)
- Multiplication Area Model (flash required)

**Lesson 7: The Distributive Property**

Downloads Video Tutorials

- Distributive Property (Khan Academy)

- Distributive Property (Geogebra Interactive)

**Lesson 8: Estimate Products**

Downloads Video Tutorials

- Estimating Products (by Mr. Bowen)
- Estimating Products (old, by Mr. Bowen)
- Estimating Products (Khan Academy)

**Lesson 9: Multiply by One-Digit Numbers**

DownloadsVideo Tutorials

- Multiplying 2-Digit by 1-Digit (Khan Academy)
- Multiplying 2-Digit by 1-Digit With Regrouping (Khan Academy)
- Multiplying 3-Digit by 1-Digit (Khan Academy)
- Multiplying 3-Digit by 1-Digit with Regrouping (Khan Academy)

**Lesson 10: Multiply by Two-Digit Numbers**

Downloads

- Homework 2-10 Answer Key
- Multiplication Algorithms
- Lattice Multiplication with Decimals PowerPoint
- Lattice Multiplication PowerPoint (from Everyday Math)

- Lattice Multiplication (old, by Mr. Bowen)
- Lattice Multiplication (Student Video Tutorial)
- Lattice Multiplication (from Everyday Math)
- Lattice Multiplication (Khan Academy)
- Why Lattice Multiplication Works (Khan Academy)
- Traditional Multiplication (from Everyday Math)
- Traditional Multiplication 2x2 Digit (from Everyday Math)
- Multiplying 2-Digit by 2-Digit (Khan Academy)
- Multiplying 2-Digit by 2-Digit (Khan Academy)
- Multiplying Multi-Digit Numbers (Khan Academy)
- Multiplication Algorithms (LearnZillion)
- Comparison of Multiplication Algorithms (by Mr. Bowen)