1. Math Moment – Automotive Technologies HS.S-ID.C.7 Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data.

2. Materials Handout Worksheet

3. Automotive Technologies HS.S-ID.C.7 Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. AKA Slope & y-intercept

4. Bellwork Think of a time when numbers gave you information. Share with your partner.

5. Possible Answers Address Social Security Number Longitude/latitude Cost of an item Phone number

6. Math Check Find the slope of a line through: 1.(2, 5) and (-3, 10) 2.(-3, -4) and (5, 3)

7. Math Check Write down as many things as you know about the item below

8. x-axis y-axis quadrants ordered pairs origin

9. Terminology rate of change rate that describes how one quantity changes in reference to another quantity

10. Slope–Intercept Equation slope y-intercept Linear model b is the y-intercept; it is where the line crosses the x-axis

11. Slope What do you remember learning about slope?

12. Slope + slope- slope 0 slope undefined slope

13. State the slope and y-intercept slope = y-intercept = 2 rise = 3 run = 1 y-intercept

14. State the slope and y-intercept

15. Slope – Rate of change 40 miles per gallon $0.59 per can $7.80 per hour -10 gallons per 2 hours

16. Rate of change Units will help to understand the rate of change. For example, I bought 4 cans of tomatoes for $2. Find the rate of change and what does it tell us.

17. Example 1 clipartbest.com Bill had 5 gallons of gas in his motorbike. After 100 miles, he had 3 gallons left. Graph Find the rate of change (slope) Find the y-intercept What does the rate of change and the y-intercept mean?

18. Miles traveled 50100 150 Gas in tank (gallons) 1 2 3 4 5 6

19. Miles traveled 50100 150 Gas in tank (gallons) 1 2 3 4 5 6 rise run +2 gallons -100 miles y-intercept at 0 miles traveled you have 5 gallons of gas in the tank

20. Example 2 Owen collected data about the relationship between temperature and altitude. He found at 200 meters above sea level the temperature was C while at 2200 meters the temperature was C. latitude33geckos.wordpress.com

21. Example 2 You Try! Owen collected data about the relationship between temperature and altitude. He found at 200 meters above sea level the temperature was C while at 2200 meters the temperature was C. Graph Find the rate of change (slope) Find the y-intercept What does the rate of change and the y- intercept mean?

22. Slope or Rate of Change Find the slope. What does the slope or rate of change tell us? What is the y-intercept and what does it represent?

23. You try! Altitude in meters Temperature in C 10002000 5 10 15 20 25 30 35

24. Temperature versus Altitude Altitude in meters Temperature in C 10002000 5 10 15 20 25 30 35 (200 m, ) (2200, )

25. Temperature versus Altitude Altitude in meters Temperature in C 10002000 5 10 15 20 25 30 35 (200 m, ) (2200, ) run = 2200- 200 = 2000 meters rise =

26. Tweet a Friend Closure PROPERTY OF AZ CTE CURRICULUM CONSORTIUM, 2013 Write a tweet to a friend or absent classmate explaining the learning using 140 characters or less