1. 9/9/2011 ©Evergreen Public Schools 2010 1 Rate Of Change Key Concepts : rate of change slope slope formula

2. ©Evergreen Public Schools 2010 2 LEQ 2 Check off what you already know how to do. I can find slope y -intercept table graph equation situation

3. ©Evergreen Public Schools 2010 3 LaunchLaunch Give an example of a rate. Describe rate.

4. ©Evergreen Public Schools 2010 4 LaunchLaunch We can say the rate of change is the ratio of change in input to the change in output change in input change in output or vertical change horizontal change

5. ©Evergreen Public Schools 2010 5 1. Describe the rate of change of g ( x ) in words. 2. How is that rate of change of g ( x ) shown in –the picture? –the table? –the graph? InputOutput 15 29 313 Task One g(x) Sequence Find the equation g ( x ) = _____________

6. ©Evergreen Public Schools 2010 6 Task One g(x) Sequence 3.Find g (6) = _____ Explain how you found it. 4.g(9) = 37. Find g (10) = _____ Explain how you found it. 5.Find g (20) = _____ Explain how you found it.

7. ©Evergreen Public Schools 2010 7 Task Two Arithmetic Sequences Use another representation to verify your answers. 6. If q (4) = 12 and q (5) = 9, find q (6). 7. If k (3) = 20 and k (7) = 28, a) find k (11) b) find k (8) c) find k (16) Explain how you know. d) Find the rate of change of k ( x ). Explain how you know. True or False? Why? k (7) + k (8) = k (15)

8. ©Evergreen Public Schools 2010 8 Task Three 8. r ( x ) is a linear function. The point ( x 1, y 1 ) is one point on the line. The point ( x 2, y 2 ) is a second point on the line. So, m ( x 1 ) = y 1 and m ( x 2 ) = y 2, and your table would look like this. xy x1x1 y1y1 x2x2 y2y2 Find the rate of change for the table.

9. ©Evergreen Public Schools 2010 9 9. The rate of change is called the slope and is written with the letter, r. Use your answer from #8 to write a formula for slope. xy x1x1 y1y1 x2x2 y2y2

10. ©Evergreen Public Schools 2010 10 5 3 1 2 4 Learning Target Did you hit the target? I can find the slope and y -intercept of a linear function from a table, graph, equation and situation. Rate your understanding of the target from 1 to 5. 5 is a bullseye!

11. ©Evergreen Public Schools 2010 11 Practice 4.1A Rate of Change