Lesson objective: Use multiplicative "between" and "within" relationships to find missing values in a table.

This lesson helps to build fluency with finding missing values in a ratio table. Ratio tables are used here because they highlight the multiplicative relationship between values in a ratio. This work develops students' understanding that a ratio is a comparison by division and that equivalent ratios have the same multiplicative "between" and "within" values.

Students engage in Mathematical Practice 5 (use appropriate tools strategically) as they use ratio tables to find and use the multiplicative relationships in ratios.

**Key vocabulary:**

- "between" relationship
- multiplicative
- ratio
- "within" relationship