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


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Distinguish between rational and irrational numbers. Show that any number that can be expressed as a fraction is a rational number.

Clarifications:

Essential Understandings

Concrete:

  • Use manipulatives to represent whole numbers as a fraction (e.g., 3 whole circles each divided in half is equal to 6/2)
  • Use manipulatives to represent a fraction.
  • 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).
Representation:
  • Identify the symbol for π in writing and on a calculator.
  • Identify 3.14 as π.
  • Understand the following concepts, symbols, and vocabulary: irrational numbers, rational numbers, fraction, decimal, π.

Number: MAFS.8.NS.1.AP.1a 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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