Classroom Resource

Commutative and Associative Properties of Addition

Subject Area

Mathematics

Grade(s)

6

Overview

Generate equivalent expressions using two additive properties. This video focuses on using the associative and commutative properties of addition to combine like terms, simplify expressions, and create equivalent expressions.

This video was submitted through the Innovation Math Challenge, a contest open to professional and nonprofessional producers and is part of the Math at the Core: Middle School collection.

Mathematics (2019) Grade(s): 6

MA19.6.16

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

Unpacked Content

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.
Mathematics (2019) Grade(s): 6

MA19.6.17

Determine whether two expressions are equivalent and justify the reasoning.

Unpacked Content

UP:MA19.6.17

Vocabulary

  • Equivalent
  • Expressions

Knowledge

Students know:
  • The properties of operations, including inverse, identity, commutative, associative, and distributive and their appropriate application to be able to determine whether two expressions are equivalent.
  • Conventions of order of operations.

Skills

Students are able to:
  • Accurately use the properties of operations to produce equivalent forms of an algebraic expression when interpreting mathematical and contextual situations.
  • Use mathematical reasoning to communicate the relationships between equivalent algebraic expressions.

Understanding

Students understand that:
  • Manipulation of expressions via properties of the operations verifies mathematically that two expressions are equivalent.
  • Reasoning about the context from which expressions arise allows for interpretation and meaning to be placed on each of the expressions and their equivalence.
Link to Resource
https://aptv.pbslearningmedia.org/resource/mgbh.math.nf.commprop/commutative-an…

CR Resource Type

Audio/Video

Resource Provider

PBS
Accessibility
License

License Type

PD

Comments or Notes

This resource contains supplemental materials to use with this lesson.

To access the materials click on the link for the supplemental materials in the upper right-hand corner of the webpage titled Support Materials for Teachers. 

Approved Date

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