MA.6.A.3.5Archived Standard

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Apply the Commutative, Associative, and Distributive Properties to show that two expressions are equivalent.

Remarks

Example: Is 7(m+2) the same as 7m + 2 or 7m + 14? Explain your choice.
General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 6
Body of Knowledge: Algebra
Idea: Level 2: Basic Application of Skills & Concepts
Big Idea: BIG IDEA 3 - Write, interpret, and use mathematical expressions and equations.
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 2: Basic Application of Skills & Concepts - More Information
Date of Last Rating: 06/07
Status: State Board Approved - Archived
Assessed: Yes
Test Item Specifications
  • Item Type(s): This benchmark may be assessed using: MC item(s)

  • Clarification :
    Students will recognize equivalent expressions based on the application of the commutative, associative, identity, inverse, and/or distributive properties.

    Students will identify and name the following properties: commutative, associative, identity, inverse, and distributive.
  • Content Limits :
    Items may include expressions or real-world situations.

    No more than two properties should be needed to convert from one expression to an equivalent expression in an item.

    Items may include a maximum of two variables.
  • Stimulus Attributes :
    Items should be set in a real-world or mathematical context.
Sample Test Items (1)

Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

Lesson Plan

The Distributive Property:

Introductory lesson on the distributive property using word problems as context for area models.

Type: Lesson Plan

Unit/Lesson Sequence

Using the Laws of Arithmetic:

This lesson unit helps teachers assess how students perform arithmetic operations, write and evaluate numerical expression s from diagrammatic representations, apply the distributive and commutative properties, and find areas of compound rectangles. The time for the lesson is broken into a 15 minute pre-lesson task, an 80 minute lesson (or two 40 minute lessons), and a 15 minute follow up lesson or homework. Individual students will need a copy of the two tasks, a mini-whiteboard, a pen, and an eraser. Each small group will need cut-up copies of the card sets, a large sheet of poster-sized paper, and a glue stick.

Type: Unit/Lesson Sequence

Student Resources

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Parent Resources

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