Standard #: MA.6.A.3.5 (Archived 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
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)
    N/A

    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)

Test Item # Question Difficulty Type
Sample Item 1 Which expression is equivalent to 3(b + c) using only the distributive property? N/A MC: Multiple Choice


Related Resources

Lesson Plan

Name Description
The Distributive Property

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

Unit/Lesson Sequence

Name Description
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.
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