Lesson objective: Use "between" and "within" relationships in equivalent ratios in order to find missing values in a ratio table.

This lesson provides an opportunity for students to apply their knowledge and understanding of ratios to a real-life situation. Students are asked to help teachers determine how many teams of five students they can make for a basektball tournament.

Key Concept students will use:

- Equivalent ratios show the same multiplicative relationship; the "between" relationship shows that both quantities were scaled in the same way; the "within" relationship means that the ratios have the same quotient, and therefore the same unit rate

Skills students will use:

- identifying multiplicative relationships between quantities
- identifying between and within relationships in equivalent ratios
- using multiplicative relationships to find missing values in ratio tables

Students engage in Mathematical Practice 1 (make sense of problems and persevere in solving them) as they solve a challenging, multi-step problem. Students can use a variety of strategies and tools to organize their thinking and determine how many teams of five students the teachers can form for the basketball tournament.

**Key vocabulary: **

- "between" relationship
- "within" relationship