1. UNIT 10: RATIONAL FUNCTIONS AND CIRCLE GRAPHS

2. LESSON 1 DAY 1 – HONORS ONLY HONORS - 04/28/16 GRAPHS OF RATIONAL FUNCTIONS OBJECTIVE: SWBAT IDENTIFY THE VERTICAL ASYMPTOTES, X- INTERCEPTS, AND GRAPH OF A RATIONAL FUNCTION

3. Warmup

4. Explore! Work through worksheet 10.1 in groups of 2. Use your graphing calculator to guide and assist you. READ all questions and written-in hints, and answer each question to the best of your ability. Turn in packets at the end of class.

5. Extension Questions: How do you know where the vertical asymptote of the graph is located? What does the equation of a vertical asymptote look like? Why? Are the branches of the graph always in the top right and bottom left? Are they ever in the top left and bottom right? Use your calculator to provide an example of a case in which they are top left and bottom right.

6. Homework – due Monday READ textbook pages 507-510 and take notes on the different “Key Concepts” and Example Problems. Use Problems 1, 2, and 3 to answer page 512 #8-12 (make a table of x-y values), #18-25 ALL.

7. LESSON 1 DAY 2 – HONORS ONLY HONORS - 05/03/16 GRAPHS OF RATIONAL FUNCTIONS OBJECTIVE: SWBAT IDENTIFY THE VERTICAL ASYMPTOTES, X- INTERCEPTS, AND GRAPH OF A RATIONAL FUNCTION

8. HW Review – textbook page 512 #8-12 and #18-25 all

9. Rational Function

10. Intercepts of a Rational Function

11. Vertical Asymptotes of a Rational Function (also called “Reciprocal Function”)

12. Teamwork! In teams of 3, you will identify: The y-intercept of the function The x-intercept(s) of the function Any vertical asymptotes that the function has Each team member will have a specific role for each round, one for each of the 3 things you are finding. Each characteristic that is correct earns one point for the team At the end of 5 rounds, winning team has no homework for tonight.

13. Teamwork!

14. Homework – Due Friday Worksheet 10.3 – All 6 functions

15. LESSON 2 DAY 1 – HONORS ONLY HONORS - 05/05/16 GRAPHS OF CIRCLES OBJECTIVE: SWBAT IDENTIFY THE CENTER, RADIUS, POINTS ON THE OUTSIDE, AND EQUATION OF THE GRAPH OF A CIRCLE

16. Warmup

17. Circle up! Activity in class – see classmate for notes if absent

18. Equations of Circles

19. Partner Up! Complete Activity Sheet 1 and Activity Sheet 2 with a partner

20. Homework – Due Friday/Mon(P.1) Complete worksheet 10.3 – All 6 functions Complete Activity Sheet 1 and Activity Sheet 2 from in-class (whatever you do not complete) Study for Quiz on Monday/Wed(P1) on: Graphs of Rational Functions X- and Y-intercepts Vertical Asymptotes No need to memorize how the graphs are shaped, just know the three basics and be able to plot two or three more points. Graphs of Circles Equation Center Radius Identify another point on the circle

21. LESSON 2 DAY 2 – HONORS ONLY HONORS - 05/06/16 GRAPHS OF CIRCLES OBJECTIVE: SWBAT IDENTIFY THE CENTER, RADIUS, POINTS ON THE OUTSIDE, AND EQUATION OF THE GRAPH OF A CIRCLE

22. Entry Card – 4 minutes Turn into the tray

23. Work on Graphing Rational Functions Compare your homework results from 10.3 with your table partners Work on 10.4 with same table partners

24. Review Activity Sheets 1 and 2 and Entry Cards

25. Categorization Tables Match the correct equation to its correct category. Each equation is in its own category. There are four unused categories; create your own equation for these! After you have placed an equation, draw its graph on a separate page, labelling at least 4 points on its circumference.

26. Exit Card: What’d you learn?

27. Homework – due Monday/Wed(P1) 1. Complete worksheet 10.4 on Graphing Rational Functions 2. Textbook page 634 #7-33 odds 3. Study for Quiz Monday/Wednesday(P1) on: Graphs of Rational Functions X- and Y-intercepts Vertical Asymptotes No need to memorize how the graphs are shaped, just know the three basics and be able to plot two or three more points. Graphs of Circles Equation Center Radius Identify another point on the circle

28. LESSON 3 DAY 1 – 05/16/16 HONORS - 05/09/16 RATIONAL EXPRESSIONS OBJECTIVE: SWBAT ADD, SUBTRACT, MULTIPLY, DIVIDE, AND SIMPLIFY RATIONAL POLYNOMIAL EXPRESSIONS

29. Bellwork – Final Exam Review #1

30. HW Review Questions?

31. HONORS: Quiz time!

32. Bellwork – Final Exam Review #3

33. More Practice on Rational Expressions Guided Practice Guide 10.5 – your best friend! This is an IN CLASS ONLY guided examples packet. Bring it this whole week!

34. Final Exam Study Guide On a separate sheet of paper: Go through your list of topics and find definitions and examples in the textbook for the bold words. In groups of 3, go through each Unit on the study guide and write down a problem that models the topic shown (for each topic) on one sheet of paper per group. You will hand in these problems as a group at the end of class.

35. Periods 2, 4, 6 – Homework due Tuesday page 531 #15-25 odds page 539 #11-29 odds Factor the expressions, then simplify

36. We turn our attention to Chapter 8-4 in your textbook… READ pages 527-529 and take notes on rational expressions and simplest form, and walk through Problems 1, 2, and 3 on simplifying, multiplying, and dividing rational expressions Try “Got it?” #1a,b,c, #2, and #3a in your notes. Check with Mr. Speer on correct answers.

37. Homework – Due Tuesday/Thurs(P1) Worksheet 10.2 – All problems on first two pages, pick any 8 on last page

38. LESSON 3 DAY 2 – HONORS ONLY HONORS - 05/10/16 RATIONAL EXPRESSIONS OBJECTIVE: SWBAT ADD, SUBTRACT, MULTIPLY, DIVIDE, AND SIMPLIFY RATIONAL POLYNOMIAL EXPRESSIONS

39. Bellwork – Final Exam Review #2 Gas is expensive these days! One gas station has decided to charge a $3 user fee regardless of how much gas you pump. Then, in addition, the number of gallons of gas you pump is directly proportional to the price per gallon. Write an equation to represent the cost of gas at that station. Define what each of your variables is. If you pump 12 gallons of gas at $2.10 per gallon, how much are you spending in total there? If you spent $31.50 in total, and the gas price was $2.25 per gallon, did you pump enough gas to fill your 18-gallon tank?

40. Answers to worksheet 10.2 – Q&A

42. More examples! Working with 10.5, let’s try many more examples!

43. Try some yourself! Page 531 #14-24 evens

44. Homework – due Thursday/Fri(P1) Textbook page 531 #15-25 odds, READ pages 534-537 and take notes on complex fractions Quiz next MONDAY on Rational Expressions

45. LESSON 3 DAY 3 – HONORS ONLY HONORS - 05/12/16 RATIONAL EXPRESSIONS OBJECTIVE: SWBAT ADD, SUBTRACT, MULTIPLY, DIVIDE, AND SIMPLIFY RATIONAL POLYNOMIAL EXPRESSIONS

46. Bellwork – Final Exam Review #3

48. More examples – Addition/Subtraction Focus Working with 10.5, let’s try many more examples!

49. Try some yourself! Page 539 #12-16, 22-28 evens

50. Homework – due Monday Textbook page 539 #11-29 odds, page 540 #41-44 all Quiz on MONDAY on Rational Expressions

51. LESSON 4 DAY 1 – 05/17/16 HONORS - 05/16/16 RATIONAL EQUATIONS OBJECTIVE: SWBAT SOLVE RATIONAL EQUATIONS WITH RATIONAL EXPRESSIONS

52. Bellwork – Final Exam Review #4

53. HW Questions?

54. Quiz time!

55. Continue with Guided Notes 10.5 Last page – Solving Rational Equations

56. HONORS: Homework due Tuesday/Wednesday Finish last page of 10.5 up through #10.

57. LESSON 4 DAY 2 – HONORS ONLY HONORS - 05/17/16 RATIONAL EQUATIONS OBJECTIVE: SWBAT SOLVE RATIONAL EQUATIONS WITH RATIONAL EXPRESSIONS

58. Bellwork – Final Exam Review #5

59. HW Questions?

60. Partner Up! Finish 10.5 – solving rational equations

61. Let’s Review!

62. 05/19/16 FINAL EXAM / REVIEW OBJECTIVE: SWBAT EVALUATE MATHEMATICAL ARGUMENTS USING THE DIFFERENT MATHEMATICAL FUNCTIONS IN MULTIPLE REPRESENTATIONS

63. Jeopardy! https://jeopardylabs.com/play/algebra-2-semester-review4

64. 05/20/16 FINAL EXAM / REVIEW OBJECTIVE: SWBAT EVALUATE MATHEMATICAL ARGUMENTS USING THE DIFFERENT MATHEMATICAL FUNCTIONS IN MULTIPLE REPRESENTATIONS

65. Jeopardy! https://jeopardylabs.com/play/algebra-2-final-review- game-2 https://jeopardylabs.com/play/algebra-2-final-review- game-2