11613 WarmUp Convert to y mxb solve for
1/16/13 Warm-Up Convert to y = mx+b solve for y! 3 x + 2 y = 12 -3 x 2 y = -3 x + 12 2 EQ: How do I find the rate of change of a linear function?
1/16/13 Opening CCGPS Standard: Slope as rate of change Objectives: SWBAT find the slope from a graph SWBAT define slope as the rate of change EQ: How do I find the rate of change of a linear function?
When reading a graph, the slope is the rise run _______ over the _______. This tells you how much the total goes up each time x goes up by ____. 1 the ____ Questions about this topic are usually __________, so you need to learn free-response ______ HOW to answer these questions. EQ: How do I find the rate of change of a linear function?
Example 1 (Miles) 1. What is the slope of the line? miles m: 10 rise: 10 _______ hour run: 1_______ (Hours) 2. What is the meaning of the slope? distance The ______ goes up/down by 10 miles ______ eachhour ______.
Example 1 (Miles) 3. What is the y-intercept? ______ b: _____ 10 miles 10 4. What is the meaning of the y-intercept? The initial _______ distance 10 miles was _______. (Hours) 5. What is the equation? y = 10 x + 10 __________
Example 1 (Miles) 6. What is the total mileage after 6 hours? 70 miles ________ (Hours)
Practice 1 (Miles) 7. What is the slope of the line? miles m: _____ 15 rise: 15 _______ run: 1_______ hour (Hours) 8. What is the meaning of the slope? The ______ distance goes up/down by 15 miles each ______. hour ______
Practice 1 (Miles) 9. What is the y-intercept? ______ b: _____ 0 miles 0 10. What is the meaning of the y-intercept? The initial _______ distance 0 miles was _______. (Hours) 11. What is the equation? y = 15 x + 0 __________
Practice 1 (Miles) 12. What is the total mileage after 6 hours? 90 miles ________ (Hours)
Compare/Contrast 13. Which car is going faster? HOW do you know? The second car because the slope is bigger. _______________________ 14. Which car started off farther ahead? HOW do you know? The first car because the y-intercept is bigger. ________________________ 15. Which car ended up going farther in the end? HOW do you know? The second car because it went 90 miles in 6 hours, and the first car only went 70 miles. _________________________
Example 2 Height (Yards) 1. What is the slope of the line? miles m: -25 rise: -50 _______ hours run: 2_______ Time (Minutes) 2. What is the meaning of the slope? height The ______ goes up/down by 25 yards minute ______ each ______.
Example 2 Height (Yards) 3. What is the y-intercept? ______ b: _____ 200 yards 200 4. What is the meaning of the y-intercept? The initial _______ height 200 yards was _______. Time (Minutes) 5. What is the equation? y = -25 x + 200 __________
Example 2 Height (Yards) 6. What is the total height after 6 minutes? 50 yards ________ Time (Minutes)
Practice 2 Height (Yards) 7. What is the slope of the line? milesm: _____ rise: -25 _______ -6. 25 run: _______ 4 hours Time (Minutes) 8. What is the meaning of the slope? The ______ height goes up/down by -25/4 yards each minute ______.
Practice 2 Height (Yards) 9. What is the y-intercept? ______ b: _____ 300 yards 300 10. What is the meaning of the y-intercept? The initial _______ height 300 yards was _______. 11. What is the equation? Time (Minutes) __________
Practice 2 Height (Yards) 12. What is the total height after 6 minutes? about 263 yards ________ Time (Minutes)
Compare/Contrast 13. Which elevator is going faster? HOW do you know? The first elevator because the slope is bigger. _________________________ 14. Which elevator started higher? HOW d you know? The second elevator because the y-intercept is bigger. _________________________ 15. Which elevator ended up arriving to the ground floor first? HOW do you know? 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.
Compare/Contrast 16. List BOTH reasons why this elevator arrived to the ground floor faster than the other elevator. The first elevator started off at a lower height. a. ________________________ The first elevator moves faster than the second elevator. b. ________________________
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 EQ: How do I find the rate of change of a linear function?
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 HWK: Finding slope worksheet #1 -8. Show your work!
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