Lesson objective: Understand that the distributive property allows us to create multiple equivalent expressions to represent percent values.

Students bring prior knowledge of percents from 6.RP.A.3.C. This prior knowledge is extended to create equivalent expressions to calculate with percents. A conceptual challenge students may encounter is that there are multiple ways to represent the same value.

The concept is developed through work with double number lines, which supports the development of multiplicative reasoning.

This work helps students deepen their understanding of equivalence because students use the properties of operations to represent the same value is multiple ways using equivalent expressions.

Students engage in Mathematical Practice 2 (reason abstractly and quantitatively) as they make sense of the quantities and their relationships as those quantities and relationships are represent in multiple ways.

**Key vocabulary:**

- expression
- percent
- distributive property
- double number line