Unpacked Content
Knowledge
Students know:
- Strategies for creating number line models of rational numbers (marking off equal lengths by estimation or recursive halving).
- Strategies for locating numbers on a number line.
- Notation for positive and negative numbers and zero.
Skills
Students are able to:
- Represent rational numbers and their opposites on a number line including both positive and negative quantities.
- Explain and justify the creation of number lines and placement of rational numbers on a number line.
- Explain the meaning of 0 in a variety of real-world contexts.
Understanding
Students understand that:
- Representing rational numbers on number lines requires using both a distance and a direction,
- Locating numbers on a number line provides a representation of a mathematical context which aids in visualizing ideas and solving problems.
Vocabulary
- Integers
- Rational numbers
- Horizontal line diagram
- Vertical line diagram
