Unpacked Content
Knowledge
Students know:
- know that any ratio a/b, where bis not equal to zero, has a quotient attained by dividing a by b.
- know that the real number systemcontains natural numbers, whole numbers, integers, rational, andirrational numbers.
- know that every real number hasa decimal expansion that is repeating,terminating, or is non-repeating and non-terminating.
Skills
Students are able to:
- define the real number systemby giving its components.
- Explain the difference betweenrational and irrational numbers.specifically how their decimal expansions differ.
- Convert a ratio into its decimalexpansion and take a decimalexpansion back to ratio form.
Understanding
Students understand that:
- all real numbers are either rational or irrational.
- 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
