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


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Using whole number numerators from 8 to 20 and odd whole number denominators from 3 to 7, identify rational decimal expansions.

Clarifications:

Essential Understandings

Concrete:

  • Use base ten manipulatives to divide numbers.
  • Understand that the use of 3.14 for π is a rounded, approximated number (e.g., use 22/7 in a calculator to approximate π).
  • Match characteristics of irrational and rational numbers.
Representation:
  • Use a calculator to divide numbers from 8 to 20 and odd whole number divisors from 3 to 7.
  • Identify the characteristics of an irrational number.
  • Identify irrational decimal quotients.

Number: MAFS.8.NS.1.AP.1b 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.1.1: Know that numbers that are not rational are called irrational. Understand informally that every number has a decimal expansion; for rational numbers show that the decimal expansion repeats eventually, and convert a decimal expansion which repeats eventually into a rational number.



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