MA.8.A.6.2Archived Standard

Make reasonable approximations of square roots and mathematical expressions that include square roots, and use them to estimate solutions to problems and to compare mathematical expressions involving real numbers and radical expressions.

Remarks

Example: The formula
represents the time (t) in seconds that it takes an object to fall from a height of h feet. If a ball is dropped from a height of 200 ft, estimate how long it will take to reach the ground.
General Information
Subject Area: X-Mathematics (former standards - 2008)
Grade: 8
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
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 approximate square roots and use approximations for irrational numbers to estimate solutions to real-world problems.
  • Content Limits :

    Items may include the relationships among fractions, decimals, or numbers expressed as percents, with at least one square root included, given a real-world context.

    The place values of the fractional part of decimal numbers should range from tenths through ten-thousandths.

    Items should require students to determine the effects of operations on real numbers, including addition, subtraction, multiplication, division, exponents, and finding square roots.

    Items that require determining inverses may include adding, subtracting, multiplying, dividing, squaring, and extracting roots.

    Items may include simplified expressions using integers, exponents, radicals, and ratios; large and small numbers in standard scientific notation; or absolute values.

    Numbers may exceed the limits specified in the General Content Limits by Grade Level section when the numbers are represented in word form (e.g., fifty billion) or as denominate numbers (e.g., 4.3 trillion).

    Negative exponents should be used in standard scientific notation only.

    Items may contain multiple forms of a given value.

  • Stimulus Attributes :
    Items should be set in a real-world or mathematical context.
Sample Test Items (1)
  • Test Item #: Sample Item 1
  • Question: Andre will install carpet in his bedroom. The floor in Andre’s bedroom is square, with an area of 65 square feet. Which is closest to the length, in feet, of each side of Andre’s bedroom floor?
  • Difficulty: N/A
  • Type: MC: Multiple Choice

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