Big Ideas:
Ratio and rates are multiplicative comparisons between two or more quantities, or they are a joining of those quantities in a composed unit.
Unit rates answer the question how many (or how much) for 1.
Unit rates are easier for us to generalize and extend (important for comparison – shopping; athletic competitions).
This lesson builds on students’ understanding of rate by using tape diagrams to solve real world problems involving unit rates. Tape diagrams visually depict the relative sizes of the quantities in the rate. They are best used to solve problems when two rates have the same units of measure and also to highlight the multiplicative relationship between a rate and the equivalent unit rate.
Vocabulary:
rate, unit rate, tape diagram
Lesson plan