1. UNIT 8: FUNCTION OPERATIONS

2. LESSON 1 DAY 1 – 03/29/16 HONORS - 03/10/16 FUNCTION INVERSES OBJECTIVE: SWBAT DETERMINE AND VERIFY THE INVERSE OF A FUNCTION NUMERICALLY AND GRAPHICALLY

3. Warmup – on White Boards

4. Inverse Relations XY -36 2 -3 7-2 6-3 2 -3 -27 (Switch x and y values)

5. Graphs of Inverses

6. Graphs of Inverse Functions

7. Inverse Functions

8. Homework Worksheet 8.1 (ALL problems) Quiz on Friday on Finding Inverses, Graphs of Inverses, and Verifying Inverses

9. LESSON 1 DAY 2 – 03/31/16 HONORS - 03/14/16 FUNCTION INVERSES OBJECTIVE: SWBAT DETERMINE AND VERIFY THE INVERSE OF A FUNCTION ALGEBRAICALLY

10. How to Find an Inverse Function

11. Step 5: Verifying Inverse Functions Discuss with person across from you: What is happening? What are we doing, and what is the result?

12. Step 5: Verifying Inverse Functions

13. Try some!

14. Exit Ticket

15. Homework Worksheet 8.1 (ALL problems) Quiz on Friday on Finding Inverses, Graphs of Inverses, and Verifying Inverses Part of Quiz Friday: Requiz on Solving Exponential Equations by using logarithms

16. LESSON 1 DAY 3 – 04/01/16 HONORS - 03/14/16 FUNCTION INVERSES OBJECTIVE: SWBAT DETERMINE AND VERIFY THE INVERSE OF A FUNCTION

17. Honors: HAPPY PI DAY!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!! Video found here: https://www.youtube.com/watch?v=Vp9zLbIE8zo Problem 1: I’m thinking of a ten-digit integer whose digits are all distinct. It happens that the number formed by the first n of them is divisible by n for each n from 1 to 10. What is my number?

18. Happy Pi Day! Pizza Hut contest Problem 2: Our school’s puzzle-club meets in one of the schoolrooms every Friday after school. Last Friday, one of the members said, “I’ve hidden a list of numbers in this envelope that add up to the number of this room.” A girl said, “That’s obviously not enough information to determine the number of the room. If you told us the number of numbers in the envelope and their product, would that be enough to work them all out?” He (after scribbling for some time): “No.” She (after scribbling for some more time): “well, at least I’ve worked out their product.” What is the number of the school room we meet in?”

19. HW Review

20. Determine the Inverse – Non-Honors

21. Quiz time! Clear your desks!

22. Homework Finish “Inverse Functions” worksheet 8.3 (#1-10 pick 5, #11-40 pick 20)

23. LESSON 2 DAY 1 – 04/04/16 HONORS - 03/15/16 FUNCTION OPERATIONS OBJECTIVE: SWBAT ADD, SUBTRACT, MULTIPLY, AND DIVIDE FUNCTIONS AND FIND THE DOMAIN OF ADVANCED FUNCTIONS

24. Warmup – Honors only

25. HW Graffiti Board Put ‘em up!

26. Review – Evaluating Functions

27. Adding/Subtracting/Multiplying/Dividing Functions

28. Adding Functions

29. Subtracting Functions

30. Multiplying Functions

31. Dividing Functions

32. Homework – Due THURSDAY READ pages 399-400 in your textbook and take notes on Composition of Functions Worksheet 8.2 (All problems) – Be sure to identify restrictions on the domains of any operations or compositions Quiz Thursday on Function Operations TEST next Tuesday, April 12 th !

33. LESSON 2 DAY 2 – 04/05/16 HONORS – N/A FUNCTION OPERATIONS OBJECTIVE: SWBAT ADD, SUBTRACT, MULTIPLY, AND DIVIDE FUNCTIONS AND FIND THE DOMAIN OF ADVANCED FUNCTIONS

34. Domain of a function

35. Multiplying Functions

36. Dividing Functions

37. Find the domain!

38. Sum ‘em up! Cards Activity Groups of 4

39. Exit Ticket – half sheet of paper

40. Homework – Due THURSDAY READ pages 399-400 in your textbook and take notes on Composition of Functions Worksheet 8.2 (All problems) – Be sure to identify restrictions on the domains of any operations or compositions Quiz Thursday on Function Operations TEST next Tuesday, April 12 th !

41. LESSON 3 DAY 1 – 04/07/16 HONORS - 03/17/16 FUNCTION COMPOSITION OBJECTIVE: SWBAT COMPOSE TWO FUNCTIONS AND EVALUATE THE COMPOSITION AT A GIVEN VALUE.

42. Homework Questions?

43. Quiz time! Clear your desks EXCEPT for homework (worksheet 8.2)

44. Warmup Think Individually and write (3 minutes): You have a coupon good for $5 off the price of any large pizza at Peter Piper. You also get a 10% discount on any pizza if you show your San Miguel Student ID. In which order should the cashier apply your discounts? Does it matter which is applied first? Prove your conjecture using mathematical arguments. Pair up with the person across from you and discuss your thoughts (1 minute) Share! (4 minutes)

45. Warmup (Explained – using page 400)

46. Review – Evaluating Functions

47. Composition of Functions

50. Practice! Finish for Homework.

51. LESSON 3 DAY 2 – 04/08/16 HONORS - 03/18/16 FUNCTION COMPOSITION OBJECTIVE: SWBAT COMPOSE TWO FUNCTIONS AND EVALUATE THE COMPOSITION AT A GIVEN VALUE.

52. Evaluate composite functions

53. Composition of Functions Relay Race!

54. Exit Ticket – half sheet of paper

55. Homework Worksheet 8.4 – Due Monday Test Study guide: Textbook page 401-403 #9-57 Odds, #63-77 Odds, Textbook page 410-411 #9-61 Odds TEST on TUESDAY!

56. LESSON 4 DAY 1 – 04/11/16 HONORS - 03/21/16 TEST REVIEW – FUNCTION OPERATIONS OBJECTIVE: SWBAT PERFORM OPERATIONS ON AND FIND INVERSES OF FUNCTIONS

57. Domain and Range What is the domain of the following relation? What is the range? Graph the relation on a graph. XY -23 5-11 1-3 3-7 0 -35

58. Domain and Range

59. Practice - whiteboards

60. Functions

61. Homework Test Study guide: Textbook page 401-403 #9-57 Odds, #63-77 Odds, Textbook page 410-411 #9-61 Odds TEST on TUESDAY!

62. LESSON 4 DAY 2 – 04/12/16 HONORS - 03/21/16 TEST – FUNCTION OPERATIONS OBJECTIVE: SWBAT PERFORM OPERATIONS ON AND FIND INVERSES OF FUNCTIONS

63. LESSON 5 DAY 1 – 04/14/16 HONORS - 03/29/16 REVIEW FUNCTION OPS OBJECTIVE: SWBAT PERFORM OPERATIONS ON AND FIND INVERSES OF FUNCTIONS

64. Domain and Range What is the domain of the following relation? What is the range? Graph the relation on a graph. XY -23 5-11 1-3 3-7 0 -35

65. Domain and Range

66. Practice - whiteboards

67. Functions

68. Factoring

69. Homework Worksheet #8.4 (All)