MA.5.A.6.2Archived Standard

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Use the order of operations to simplify expressions which include exponents and parentheses.

Remarks

Students look for ( ) first, exponents second, multiplication and division from left to right third, and addition and subtraction from left to right fourth to simplify expressions.
General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 5
Body of Knowledge: Algebra
Idea: Level 2: Basic Application of Skills & Concepts
Supporting Idea: Number and Operations - Number and Operations
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 , GR item(s)

  • Clarification :
    Students will simplify expressions that may include exponents and/or parentheses.
  • Content Limits :

    Items will include no more than five whole numbers (including exponents) within the expression.

    Numbers raised to a power must be single-digit numbers.

    Exponents may not be applied to the entire quantity within parentheses.

    Exponents used on numbers must be either 2 or 3.

    Division will not be shown as a fraction.

  • Stimulus Attributes :
    Items may be set in either a real-world or mathematical context.
  • Response Attributes :
    Responses may not include negative numbers.
Sample Test Items (2)
  • Test Item #: Sample Item 1
  • Question:

    Yvonne needed to evaluate the expression shown below using the order of operations.

    54 ÷ (9-3) + 1 × 6

    What is the value of the above expression?

  • Difficulty: N/A
  • Type: MC: Multiple Choice
  • Test Item #: Sample Item 2
  • Question: The value of the expression below is equal to the distance, in feet, between a ball and the ground, 2 seconds after the ball is dropped from a height of 75 feet.

    75 - 16 × 2²

    What is the value of this expression?
  • Difficulty: N/A
  • Type: GR: Gridded-Response

Related Access Points

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

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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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