In this lesson, students represent quantitative relationships involving rates using tables, graphs, double number lines, and formulas. Students will understand how to create one such representation when given another representation.
Quantitative relationships involving rates can be represented using tables, graphs, double number lines, and formulas. One such representation can be used to create another representation. Two rates can describe each situation: the rate and its inverse. For the water pump situation, there are two related formulas: a formula for finding the quantity of water pumped for any amount of time, and a formula for finding the amount of time for any quantity of water.
Goals and Learning Objectives
- Understand that tables, graphs, double number lines, and formulas can be used to represent the same situation.
- Compare the different representations within a situation and the same representation across similar situations.
- Understand each representation and how to find the rate in each one.