Bellringer Textbook pg. 51 (9-12)

Rate of Change, Slope, & Direct variation are all basically the same thing.

Vocabulary Rate of change: describes how one quantity changes in relationship to another. Constant rate of change: when the rate of change between the two quantities is the same. (think proportional relationships) Example: Joe charges a rate of $10 per hour. The amount of money he makes changes depends on the number of hours he works. Slope: a rate of change between any two points on a line. Ask yourself: “how many lines up and over do I have to go to get from one ordered pair to another?” Direct variation: when two quantities have a constant ratio

Today’s Objective: Represent and identify constant rates of change. 7.RP.2 – Recognize and represent proportional relationships between quantities 7.RP.2b – Identify the constant of proportionality (unit rate) in tables, graphs, equations, diagrams, and verbal descriptions of proportional relationships. 7.RP.2d – Explain what a point (x,y) on the graph of a proportional relationship means in terms of the situation, with special attention to the points (0, 0) and (1, r) where r is the unit rate.

𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑆𝑡𝑢𝑑𝑒𝑛𝑡𝑠 𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝐵𝑢𝑠𝑒𝑠 = 144 2 𝐷𝑖𝑠𝑡𝑎𝑛𝑐𝑒 (𝑚𝑖) 𝑇𝑖𝑚𝑒 (𝑀𝑖𝑛) ≈ 300 30 𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝑆𝑡𝑢𝑑𝑒𝑛𝑡𝑠 𝑁𝑢𝑚𝑏𝑒𝑟 𝑜𝑓 𝐵𝑢𝑠𝑒𝑠 = 144 2

Classwork/Homework Pages 69 – 70 Numbers 1 – 16 Create a table of data that has a constant change. Then find the rate of change.