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### Overview

This video lesson introduces distributive property. Students recall the use of rectangle diagrams to represent the distributive property and work with equations involving the distributive property with both addition and subtraction.

## UP:MA19.6.7

### Vocabulary

• Greatest common factor
• Distributive property
• Parentheses
• Decompose

### Knowledge

Students know:
• Distributive property of multiplication over addition.
• Strategies to express the sum of two whole numbers with a common factor as a multiple of a sum of two whole numbers with no common factor by decomposing the numbers.

### Skills

Students are able to:
• Use and model the distributive property to express the sum of two whole numbers with a common factor as a multiple of a sum of two whole numbers with no common factor by decomposing the numbers.

### Understanding

Students understand that:
• Multiplication is distributive over addition.
• Composing and decomposing numbers provides insights into relationships among numbers.
• Quantities can be represented using a variety of equivalent expressions.

## UP:MA19.6.16

### Vocabulary

• Properties of operations
• Distributive property
• Inverse property
• Identity property
• Commutative property
• Associative property
• Equivalent algebraic expressions

### Knowledge

Students know:
• the properties of operations, including inverse, identity, commutative, associative, and distributive and their appropriate application to be able to generate equivalent algebraic expressions.

### Skills

Students are able to:
• Accurately use the properties of operations on algebraic expressions to produce equivalent expressions useful in a problem solving context.

### Understanding

Students understand that:
• The properties of operations used with numerical expressions are valid to use with algebraic expressions and allow for alternate but still equivalent forms of expressions for use in problem solving situations.

Audio/Video

### Resource Provider

PBS
Accessibility