MA19.8.1

Mathematics (2019) Grade(s): 8

MA19.8.1

Define the real number system as composed of rational and irrational numbers.

Unpacked Content

Knowledge

Students:know that any ratio a/b, where b is not equal to zero, has a quotient attained by dividing a by b.
  • know that the real number system contains natural numbers, whole numbers, integers, rational, and irrational numbers.
  • know that every real number has a decimal expansion that is repeating, terminating, or is non-repeating and non-terminating.
  • Skills

    Students are able to:
    • define the real number system by giving its components.
    • Explain the difference between rational and irrational numbers. specifically how their decimal expansions differ.
    • Convert a ratio into its decimal expansion and take a decimal expansion back to ratio form.

    Understanding

    Students understand that:
    • all real numbers are either rational or irrational and
    • Every real number has a decimal expansion that repeats, terminates, or is both non-repeating and non-terminating.

    Vocabulary

    • Real Number System
    • Ratio
    • Rational Number
    • Irrational Number

    Aligned Learning Resources

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