1. Coordinate Algebra Unit 3
Rate of Change
Coordinate Algebra
Unit 3

2. Standard
F.IF.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.

3. Objectives
SWBAT calculate and interpret the average rate of change given the equation of a linear function
SWBAT calculate and interpret the average rate of change given a table for a linear function

4. Rate of Change What is “Rate of Change?” The incline of a function
Describes the steepness of a line
Essentially the SLOPE.
Equation :

5. Rate of Change with Points
Example 1: Find the rate of change given the following points: (2,3) and (1,4) (x1, y1) (x2, y2)

6. Rate of Change with Functions
Example 1: Find the average rate of change for f(x) = ½x + 4 from interval [0,3]

7. Guided Practice (5 minutes)

8. Rate of Change with Tables
Example 1: Find the average rate of change between 2 and 3
x f(x)
-1 -10
0 -4 10 22
6 40

9. Guided Practice (5 minutes)

10. Independent Practice

11. Exit Ticket Find the rate of change given the function
f(x) = x2 – 2x + 4 on the interval [0,4]
2. Given the table, find the rate of change on the interval [-8, 8]