Proportional and Non Proportional Relationships using Tables Objective

Proportional and Non. Proportional Relationships using Tables Objective: I will determine proportional and non-proportional relationships using tables MAFS. 7. RP. 1. 2: Recognize and represent proportional relationships between quantities. (MP. 1, 2, 4, 5, 7, 8) a. Decide whether two quantities are in a proportional relationship, e. g. , by testing for equivalent ratios in a table or graphing on a coordinate plane and observing whether the graph is a straight line through the origin. b. Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships.

Do Now Which Team Will Win the Race? • You have decided to run in a long distance race. There are two teams that you can join. Team A runs at a constant rate of 2. 5 miles per hour. Team B runs 4 miles the first hour and then 2 miles per hour after that. • Task: Create a table for each team showing the distances that would be run for times of 1, 2, 3, 4, 5, and 6 hours. Using your tables answer the questions that follow

Proportional and Non-Proportional Relationships using Tables • Your turn: The table below shows the relationship between the side lengths of a regular octagon and its perimeter. Side Lengths, s (inches) Perimeter, P (inches) 1 8 2 16 3 24 4 32 9 12 Complete the table. If Gabby wants to make an octagon with a side length of 20 inches using wire, how much wire does she need? Justify your reasoning with an explanation of whether perimeter is proportional to the side length