Comparing Average Rate of Changes

How can functions describe real-world situations, model predictions and solve problems?

Students will be able to:

calculate and interpret the average rate of change over a specified interval.

HSF.IF.B.6 Calculate and interpret the average rate of change of a function (presented symbolically or as a table) over a specified interval. Estimate the rate of change from a graph.*

●        Do Now

●        Vocab & Lesson

●        Desmos activities

●        Homework

●       Average rate of change

○       you will always be told the interval (x values), often in interval notation with brackets [ ]

■       example: Calculate the average rate of change over the interval [2,8]

○       You cannot choose any two points you want like you could when you were calculating slope.

If you did not complete the activity on desmos from lesson 3, start with this one. We were practicing calculating slope/average rate of change for linear equations. Complete up to slide 7 today (the panda problem).

https://student.desmos.com/join/v3mtju

You will now complete a desmos activity about comparing average rates of change, focusing on nonlinear equations.

https://student.desmos.com/activitybuilder/student-greeting/5f87cbadd7fd510c9439b95a

1. Calculate the average rate of change of the function over the given interval, [0,3]. Show your work.

If you’re unfamiliar with this notation [0,3] means from x=0 to x=3.

1. Calculate the average rate of change of the function in the table below over the interval [-3,3].

1. The police have accused a driver of breaking the speed limit of 60 miles per hour. As proof, they provide two photographs. One photo shows the driver’s car passing a toll booth at exactly 6:00pm. The second photo shows the driver’s car passing another toll booth 31 milesdown the highway at exactly 6:30pm. Does the photo evidence prove that the driver broke the speed limit during this time? Explain your reasoning.