Access Point #: MAFS.8.NS.1.AP.2a (Archived Access Point)


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Locate approximations of irrational numbers on a number line.

Clarifications:

Essential Understandings

Concrete:

  • Locate whole numbers on a number line.
  • Locate decimal numbers on a number line.
  • Locate fractions on a number line.
  • Use a calculator to find the square root of a number.
  • Use the square root of a number to place a value on the number line.
Representation:
  • Round an irrational number to the nearest whole number.
  • Round an irrational number to the nearest tenths place.
  • Round an irrational number to the hundredths place.
  • Round an irrational number to the thousandths place.

Number: MAFS.8.NS.1.AP.2a Category: Access Points
Date Adopted or Revised: 06/14 Cluster: Know that there are numbers that are not rational, and approximate them by rational numbers. (Supporting Cluster)

Clusters should not be sorted from Major to Supporting and then taught in that order. To do so would strip the coherence of the mathematical ideas and miss the opportunity to enhance the major work of the grade with the supporting clusters.

Related Standards

Name Description
MAFS.8.NS.1.2: Use rational approximations of irrational numbers to compare the size of irrational numbers, locate them approximately on a number line diagram, and estimate the value of expressions (e.g., π²). For example, by truncating the decimal expansion of √2, show that √2 is between 1 and 2, then between 1.4 and 1.5, and explain how to continue on to get better approximations.



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