In this video lesson, students apply their understanding of algebraic expressions and equations to represent relationships between two quantities. Students use and make connections between tables, graphs, and equations that represent these relationships.

Students revisit and extend their understanding of equivalent ratios. Given a familiar scenario, students create a table of values that shows how changes in one quantity affect changes in the other. Then they graph the points from the table in the coordinate plane.

Students learn that relationships between two quantities can be described by two different but related equations with one quantity, the dependent variable, affected by changes in the other quantity, the independent variable. They use familiar contexts to make representations, compare rates, and consider how the representations would change if the independent and dependent variables were switched.

Grade 6, Episode 17: Unit 6, Lessons 16 & 17 | Illustrative Math