MA.8.A.6.4Archived Standard

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Perform operations on real numbers (including integer exponents, radicals, percents, scientific notation, absolute value, rational numbers, and irrational numbers) using multi-step and real world problems.

Remarks

Example 1: The table shows Mr. Smith's weight during the first 3 months of his diet. If he started his diet at 245 pounds, fill in the following table.


 Month   1  23 
 Weight 238 229 224
 Weight change   
General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 8
Body of Knowledge: Algebra
Idea: Level 3: Strategic Thinking & Complex Reasoning
Supporting Idea: Number and Operations - Number and Operations
Date Adopted or Revised: 09/07
Content Complexity Rating: Level 3: Strategic Thinking & Complex Reasoning - 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 perform operations on real numbers using multi-step and real-world problems.

    The student understands real number expressions and the law of exponents.
  • Content Limits :
    Items will include the effects of the four basic operations on real numbers (including integer exponents, radicals, percents, scientific notation, absolute value, rational numbers, and irrational numbers), and the use of properties of real numbers to solve problems (commutative, associative, distributive, identity, equality, and the inverse relationship of rational numbers).

    Items may involve simplifying expressions using integers and exponents.

    Items may include performing operations involving fractions, decimals, irrational numbers, numbers expressed as radicals, percents, absolute values, or scientific notation.

    Radicals used in items must be square roots with a radicand less than or equal to 100, or cube roots of perfect cubes.
  • Stimulus Attributes :
    All items should be set in a real-world or mathematical context.

    Items may require answers to be rounded to the nearest percent, whole number, dollar, cent, etc., as appropriate.
Sample Test Items (2)
  • Test Item #: Sample Item 1
  • Question: The daily lunch special at Bertan’s favorite restaurant is $6.95, not including tax. The final cost of the lunch special with tax is $7.52. What is the tax rate, to the nearest tenth of a percent, charged for the lunch special?
  • Difficulty: N/A
  • Type: GR: Gridded-Response
  • Test Item #: Sample Item 2
  • Question: A space shuttle can travel at a speed of  3 x 10 to the power 7 meters in 1 hour. at this speed, how far will it travel in 24 hours?
  • Difficulty: N/A
  • Type: MC: Multiple Choice

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 Plans

Pricing Twelve Days of Celebration:

Students will discover how much items would cost if they were to give gifts for 12 days. They will learn how to calculate and add sales tax to find a total.

Type: Lesson Plan

Discovering Kepler's Law for the Periods of Planets:

Students listen to a video that describes Kepler's determination that planetary orbits are elliptical and then will use data for the solar distance and periods of several of the planets in the solar system, then investigate several hypotheses to determine which is supported by the data.

Type: Lesson Plan

Student Resources

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Parent Resources

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