Unpacked Content
Knowledge
Students know:
- How to use and interpret inequality notation with rational numbers and absolute value.
- Strategies for comparing and ordering rational numbers and the absolute value of rational numbers with and without a number line in order to solve real-world and mathematical problems.
Skills
Students are able to:
- Use mathematical language to communicate the relationship between verbal representations of inequalities and the related number line and algebraic models.
- Distinguish comparisons of the absolute value of positive and negative rational numbers from statements about order.
- Use number line models to explain absolute value concepts in order to solve real-world and mathematical problems.
Understanding
Students understand that:
- The absolute value of a number is its distance from zero on a number line regardless of direction,
- When using number lines to compare quantities those to the left are less than those to the right.
Vocabulary
- Absolute Value
- Inequalities