Collections of Equivalent Ratios

Description

With the concept of ratio equivalence formally defined, students explore collections of equivalent ratios in real world contexts. They build ratio tables and study their additive and multiplicative structure.

Students continue to apply reasoning to solve ratio problems while they explore representations of collections of equivalent ratios and relate those representations to the ratio table. Building on their experience with number lines, students represent collections of equivalent ratios with a double number line model. They relate ratio tables to equations using the value of a ratio defined in Topic A.

Finally, students expand their experience with the coordinate plane as they represent collections of equivalent ratios by plotting the pairs of values on the coordinate plane.