Standard #: MA.5.A.6.2 (Archived 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
Supporting Idea: Number and Operations - Number and Operations
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 , GR item(s)
    N/A

    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 # Question Difficulty Type
Sample Item 1

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?

N/A MC: Multiple Choice
Sample Item 2 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?
N/A GR: Gridded-Response


Related Resources

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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