The Distributive Property, Part 2

Learning Resource Type

Classroom Resource

Subject Area

Mathematics

Grade(s)

6

Overview

The purpose of this video lesson is to apply the distributive property to situations where one of the quantities is represented by a variable, as in 2 (x + 3) = 2x + 2 • 3. Students use rectangle diagrams to represent these situations, reinforcing the idea that the work with expressions is an extension of the work with numbers. They see that the distributive property can arise out of writing areas of rectangles in two different ways, emphasizing equivalent expressions as two different ways of writing the same quantity.

Mathematics (2019) Grade(s): 6

MA19.6.7

Use 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.

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.
Mathematics (2019) Grade(s): 6

MA19.6.16

Generate equivalent algebraic expressions using the properties of operations, including inverse, identity, commutative, associative, and distributive.

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.

CR Resource Type

Audio/Video

Resource Provider

PBS

License Type

PD
https://aptv.pbslearningmedia.org/resource/our20-math-6610/the-distributive-pro…

Comments or Notes

Support materials are available for this lesson. 

Approved Date

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