Representing and Reasoning About Ratios

Description

Students' previous experience solving problems involving multiplicative comparisons serves as the conceptual foundation for understanding ratios as a multiplicative comparison of two or more numbers used in quantities or measurements.

Students develop fluidity in using multiple forms of ratio language and ratio notation. They construct viable arguments and communicate reasoning about ratio equivalence as they solve ratio problems in real world contexts.

As the first topic comes to a close, students develop a precise definition of the value of a ratio a:b, where b ≠ 0 as the value a/b, applying previous understanding of fraction as division. They can then formalize their understanding of equivalent ratios as ratios having the same value.