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
