2. Becky Afghani, LBUSD Math Curriculum Office, 20031 Calculating slope from a graph

3. The Magnum Cedar Point, OH Ghost Rider Knott’s Berry Farm Xcelerator Knott’s Berry Farm Superman 6 Flags Magic Mountain Son of Beast King’s Island, OH How steep is the steepest roller coaster? These are completely vertical!

4. Becky Afghani, LBUSD Math Curriculum Office, 20033 Objective Given a graph of a line, you will calculate the slope of the line. How steep is it?

5. Becky Afghani, LBUSD Math Curriculum Office, 20034 Imagine a roller coaster moving from LEFT to RIGHT

6. Becky Afghani, LBUSD Math Curriculum Office, 20035 There are four different kinds of slope the coaster could encounter...

7. Becky Afghani, LBUSD Math Curriculum Office, 20036

8. 7

9. 8 And 2 Special Cases… The zero-fun coaster The impossibly scary coaster What kind of slope are they?

10. Becky Afghani, LBUSD Math Curriculum Office, 20039 Aw! That’s zero fun!

11. Becky Afghani, LBUSD Math Curriculum Office, 200310 That’s a really scary coaster, so the slope is…

12. Becky Afghani, LBUSD Math Curriculum Office, 200311 What are the 4 types of slope? 1.Determine who will be shoulder-partner A and shoulder-partner B 2.A says the name of a type of slope 3.B describes what it looks like 4.Name and describe all four types of slope One type of slope is… That one is…

13. Becky Afghani, LBUSD Math Curriculum Office, 200312 For the following slides, call out whether the slope is positive, negative, zero, or undefined. Wait for the count of 3 before you say your answer!

14. Becky Afghani, LBUSD Math Curriculum Office, 200313 negative

15. Becky Afghani, LBUSD Math Curriculum Office, 200314 positive

16. Becky Afghani, LBUSD Math Curriculum Office, 200315 zero

17. Becky Afghani, LBUSD Math Curriculum Office, 200316 undefined

18. Becky Afghani, LBUSD Math Curriculum Office, 200317 How can you describe the steepness of a roller coaster? 1.Slope is a number which describes the steepness of a line. 2.We use the variable m to stand for slope. Dude, why’d you use the letter m? I named it after my Mom

19. Becky Afghani, LBUSD Math Curriculum Office, 200318 What is slope? 1.Determine who will be shoulder-partner A and shoulder-partner B 2.A describes what slope is 3.B tells what letter is used for slope Slope is…We use the letter…

20. Becky Afghani, LBUSD Math Curriculum Office, 200319 What do big slopes and small slopes look like? When the slope is positive… m = 1 is a 45 degree angle m > 1 is a steep line 0 < m < 1 is a shallow line Negatives are the same but downhill… Show me!

21. Becky Afghani, LBUSD Math Curriculum Office, 200320 45  Slope is positive one

22. Becky Afghani, LBUSD Math Curriculum Office, 200321 Steep climb for a coaster Slope is greater than positive one

23. Becky Afghani, LBUSD Math Curriculum Office, 200322 Shallow climb for a coaster Slope is between zero and one

24. Becky Afghani, LBUSD Math Curriculum Office, 200323 45  Same as positive one, just downhill Slope is negative one

25. Becky Afghani, LBUSD Math Curriculum Office, 200324 Steep drop for a coaster These are “big” negative numbers Slope is less than negative one

26. Becky Afghani, LBUSD Math Curriculum Office, 200325 Shallow drop for a coaster These are “small” negative numbers Slope is between negative one and zero

27. Becky Afghani, LBUSD Math Curriculum Office, 200326 Let’s see if you can remember… You will see a graph and some choices. Use what you know about steep and shallow lines to pick the only possible slope.

28. Becky Afghani, LBUSD Math Curriculum Office, 200327 Do you remember?

29. Becky Afghani, LBUSD Math Curriculum Office, 200328 Do you remember?

30. Becky Afghani, LBUSD Math Curriculum Office, 200329 Do you remember?

31. Becky Afghani, LBUSD Math Curriculum Office, 200330 Do you remember?

32. Becky Afghani, LBUSD Math Curriculum Office, 200331 Do you remember?

33. Becky Afghani, LBUSD Math Curriculum Office, 200332 Do you remember? =

34. Becky Afghani, LBUSD Math Curriculum Office, 200333 Now, let’s practice… You will be given a slope. Make the line with your arms. Think… Positive or Negative Then… Steep, Shallow or 45-degree

35. Becky Afghani, LBUSD Math Curriculum Office, 200334 Stand up and show me with your arms – wait for my signal

36. Becky Afghani, LBUSD Math Curriculum Office, 200335 Stand up and show me with your arms – wait for my signal

37. Becky Afghani, LBUSD Math Curriculum Office, 200336 Stand up and show me with your arms – wait for my signal

38. Becky Afghani, LBUSD Math Curriculum Office, 200337 Stand up and show me with your arms – wait for my signal m=-3

39. Becky Afghani, LBUSD Math Curriculum Office, 200338 Stand up and show me with your arms – wait for my signal

40. Becky Afghani, LBUSD Math Curriculum Office, 200339 Stand up and show me with your arms – wait for my signal