1. 1/16/13 Warm-Up Convert to y = mx+b  solve for y! 3x + 2y = 12
-3x x
2y = -3x + 12
EQ: How do I find the rate of change of a linear function?

2. 1/16/13 Opening CCGPS Standard: Objectives: Slope as rate of change
SWBAT find the slope from a graph
SWBAT define slope as the rate of change
Use catalyst as an anticipation question.
EQ: How do I find the rate of change of a linear function?

3. rise run x 1 free-response HOW
When reading a graph, the slope is the _____________ over the _____________.
This tells you how much the total goes up each time the ____ goes up by ____.
Questions about this topic are usually ___________________, so you need to learn ______ to answer these questions.
rise
run x 1
free-response
HOW
EQ: How do I find the rate of change of a linear function?

4. Example 1 (Hours) 1. What is the slope of the line?
rise: _______ m: _____
run: _______
2. What is the meaning of the slope?
The ____________
goes up/down by
___________ each ______.
(Miles)
10 miles 10
1 hour
distance
10 miles
hour
(Hours)

5. Example 1 (Hours) 3. What is the y-intercept? ____________ b: _____
4. What is the meaning of the y-intercept?
The initial _____________ was ______________.
5. What is the equation?
___________________
10 miles 10
(Miles)
distance
10 miles
y = 10x + 10
(Hours)

6. Example 1 (Hours) 6. What is the total mileage after 6 hours?
________________
(Miles)
70 miles
(Hours)

7. Practice 1 (Hours) 7. What is the slope of the line?
rise: _______ m: _____
run: _______
8. What is the meaning of the slope?
The ____________
goes up/down by
___________ each ______.
(Miles)
15 miles 15
1 hour
distance
15 miles
hour
(Hours)

8. Practice 1 (Hours) 9. What is the y-intercept? ____________ b: _____
10. What is the meaning of the y-intercept?
The initial _____________ was ______________.
11. What is the equation?
___________________
0 miles
(Miles)
distance
0 miles
y = 15x + 0
(Hours)

9. Practice 1 (Hours) 12. What is the total mileage after 6 hours?
________________
(Miles)
90 miles
(Hours)

10. Compare/Contrast 13. Which car is going faster? HOW do you know?
______________________________________________
14. Which car started off farther ahead? HOW do you know?
________________________________________________
15. Which car ended up going farther in the end? HOW do you know?
_________________________________________________
The second car because the slope is bigger.
The first car because the y-intercept is bigger.
The second car because it went 90 miles in 6 hours, and the first car only went 70 miles.

11. Example 2 Time (Minutes) 1. What is the slope of the line?
rise: _______ m: _____
run: _______
2. What is the meaning of the slope?
The ____________
goes up/down by
___________ each ______.
-50 miles
-25
Height (Yards)
2 hours
height
25 yards
minute
Time (Minutes)

12. Example 2 Time (Minutes) 3. What is the y-intercept?
____________ b: _____
4. What is the meaning of the y-intercept?
The initial _____________ was ______________.
5. What is the equation?
___________________
200 yards
200
Height (Yards)
height
200 yards
y = -25 x + 200
Time (Minutes)

13. Example 2 Time (Minutes) 6. What is the total height after 6 minutes?
________________
50 yards
Height (Yards)
Time (Minutes)

14. Practice 2 Time (Minutes) 7. What is the slope of the line?
rise: _______ m: _____
run: _______
8. What is the meaning of the slope?
The ____________
goes up/down by
___________ each ______.
-25 miles
Height (Yards)
4 hours
-6.25
height
-25/4 yards
minute
Time (Minutes)

15. Practice 2 Time (Minutes) 9. What is the y-intercept?
____________ b: _____
10. What is the meaning of the y-intercept?
The initial _____________ was ______________.
11. What is the equation?
___________________
300 yards
300
Height (Yards)
height
300 yards
Time (Minutes)

16. Practice 2 Time (Minutes)
12. What is the total height after 6 minutes?
________________
about 263 yards
Height (Yards)
Time (Minutes)

17. Compare/Contrast 13. Which elevator is going faster? HOW do you know?
_________________________________________________
14. Which elevator started higher? HOW d you know?
__________________________________________________
15. Which elevator ended up arriving to the ground floor first? HOW do you know? ______________________________________________
The first elevator because the slope is bigger.
The second elevator because the y-intercept is bigger.
The first elevator because it will hit the ground floor at 8 minutes and the second elevator is still at 200 feet after 16 minutes.

18. Compare/Contrast
16. List BOTH reasons why this elevator arrived to the ground floor faster than the other elevator.
a. _______________________________________________
b. ________________________________________________
The first elevator started off at a lower height.
The first elevator moves faster than the second elevator.

19. 1/16/13 Work Period Independent Practice handout – in groups
Slope as rate of change
Expectations:
Remain seated at all times
Follow the “10 Things” poster
Raise your hand to ask a questions
Work quietly and efficiently in groups
Use catalyst as an anticipation question.
EQ: How do I find the rate of change of a linear function?

20. 1/16/13 Exit Slip Complete the Exit Slip handout individually
Expectations:
Do your best
Show your work
Keep your eyes on your own paper
Use catalyst as an anticipation question.
HWK: Finding slope worksheet #1-8. Show your work!