Mrs. Meehan PRE-CALC Mar-May 2016 Name
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1 Mrs. Meehan PRE-CALC Mar-May 2016 Name 1. Quiz #1 2. Patterns 3. Quiz #2 4. Guard Duty 5. Discussion: Always Back & Forth Q#1 6. Back & Forth Revisited 7. Discussion: Always Back & Forth Q#2 8. Patrol Duty 9. ALGEBRA REVIEW TEST #3 10. Graphing Periodic Functions I, II, III 11. Finding Equations of Trig. functions 12. Quiz #3 Finding equation from a graph 13. Amusement Park Lab 14. Matching graphs and equations 15. QUIZ #4 Graphing Transformations 16. Unit circle & Reference Angles 17. SOHCAHTOA 18. Memory Chart 19. Cofunctions 20. Graphing y=tan(x), y=cot(x), y=sec(x) & y=csc(x) 21. Inverse trig functions 22. Graphing y=sin -1 (x), y=cos -1 (x) & y=tan -1 (x) 23. Solving trig equations 24. QUIZ #5 25. Trig Identities 26. QUIZ #6 27. Sum & difference angle formulas 28. Double angle formulas
2 29. Half angle formulas 30. Quarter 3 Exam 31. Quiz #1 32. Logarithm rules (Chapter 4 text) 33. Graphing Transformations Exp. & Log. 34. Practicing logs-flash cards 35. Solving Equations with logs 36. Algebra Review #4 37. Quiz #2 38. Polynomial Functions (Chapter 3 text) 39. Long division, synthetic division, remainder theorem, factor theorem, rational root theorem 40. FTA, Linear factorization theorem, multiplicity of roots, complex conjugate roots 41. Quiz #3 42. Rational Functions (Chapter 5 text) Notes 43. Quiz #4 44. Rational Functions discussion 45. Rational Functions project 46. Review for FINAL
3 ASSIGNMENTS 1. Chapter 6 sec 4 sin and cos graphs 2. Chapter 6 sec 1 (up to p. 397) angle measure 3. Chapter 6 sec 2,3 right triangle trig and unit circle 4. Chapter 6 sec 5 tan, cot, sec, csc graphs 5. Chapter 6 sec 6 sinusoidal functions 6. Chapter 6 sec 7 inverse trig functions 7. Chapter 7 sec 1, 2 trig identities 8. Chapter 7 sec 3 solving trig equations 9. Chapter 7 sec 4 sum & difference of angles formulas 10. Chapter 8 sec 1, 2 Law of Sines, Law of Cosines 11. Chapter 4 p (logs) 12. Chapter 4 p (logs) 13. Chapter 4 p (logs) 14. Chapter 3 p ; (poly.) 15. Chapter 3 p , 232 (degree, EBT) 16. Chapter 3 p (theorems) 17. Chapter 3 p (Rat. Rt. Thm.) 18. Chapter 3 p (Complex # s) 19. Chapter 3 p (Linear Factorization) TEXTBOOK 20. Trigonometry Problems (See below) 21. p. 306 #1-22 (evaluate logs), #37-40 (transformations) 22. p #9-16 (rewrite bases), #25-50 (use log rules) 23. p #41-46 (domain, solve algebraically, extraneous solutions), 24. p #9, (Give the EBT & EBM) 25. p. 234 #36, 40, (Leave in factored form.)
4 26. p #3, 7 (no graphs), #15-20 (Synthetic Division), #15-20 again (Use the Remainder Thm. to determine whether the divisor (denominator) is a factor of the dividend (numerator)) 27. p #47-52 (Write p(x) in factored form) 28. p. 260 #37,40,43 *** See below for directions 29. p #1-7 odd, all, odd (Complex Number Review) 30. p #9-12 (write in factored form) #13-16, (match the graph-no calculator), #33, 35 (synthetic division) BINDER ACTIVITIES 31. Guard Duty HW 32. Patrol Duty HW 33. Graphing Trig Functions HW Finding Equations of Trig Functions HW 35. Graphing sin/cos to scale 36. Graphing tan/cot/sec/csc to scale GRADED ACTIVITIES 37. Back & Forth Revisited (individual) 38. Graphing sin & cos to scale (individual) 39. Graphing Transformations (group) 40. Amusement Park Lab (group) 41. Polynomial Problem Set (See below-individual) 42. Rational Functions Project (group) 43. Essay: Rational Functions (individual)
5 QUIZZES 44. QUIZ #1: Graphing Transformations Exponential 45. QUIZ #2: Finding Equations Exponential 46. MEMORY QUIZZES 47. QUIZ #3: Graphing sin/cos with transformations 48. QUIZ #1: Periodic Functions 49. QUIZ #2: Finding equation from a graph 50. QUIZ #3: Evaluating Trig Functions with Reference Angles 51. QUIZ #4: Graphing Transformations Logarithms 52. QUIZ #5: Simplifying & Solving Logarithms 53. QUIZ #6: Polynomial Functions' Theorems 54. QUIZ #7: Polynomial Functions' Theorems 55. QUIZ #8: Rational Functions TESTS 1. STUDY for Algebra Review Test #3 2. STUDY for QUARTER EXAM 3 3. STUDY for Algebra Review Test #4 4. FINAL EXAM ***Directions for problems on #27 p. 260 #37, 40, Use the FTA to state the number of complex roots. 2. Give the EBM and EBT. 3. Use the Rational Root Theorem to find a list of possible rational roots. 4. On the calculator, use the Remainder Theorem to find the rational roots. 5. Use Synthetic Division and the known roots to find as many linear factors of the polynomial as possible. 6. Use the Quadratic Formula or factor to find the remaining irrational and imaginary roots. 7. Write the function in Linear Factored Form. 8. Find a complete graph, give the windows and label the extrema (relative and absolute).
6 Trigonometry Problems TEXTBOOK- HW FOLDER 1. *Angles: p (no calc) #2-8 even, 21-24, 41-44, 49-52, SOHCAHTOA: p (no calc) #6, 10, 14, 16, 19-24, Evaluating with the calculator: p #36-44 even,, 71, 72, *Reference angles: p. 425 (no calc.) # Solve graphically with the calculator: p. 439 #21-26 (show graphs) 6. Transformations: p (no calc) #28, 32, (show graphs, sketch [0, 2π] or one full cycle, if period is greater than 2π), #34, 46, 48, 50, Other trig functions: p (calc) #1-4 all, #40-46 even (show graphs), #52 (show graph) 8. *Sinusoidal functions: p. 456 (calc) #1-6, After doing 1-6, explain how you can tell, without graphing, whether the function is sinusoidal; #7-12 Sketch the graphs [0, 2π] & show work; write the equation 9. *Trig functions' characteristic chart (handout) 10. Inverse trig: p #1-12 all (no calc), even (calc) 11. Inverse trig: p.466 #23-30 (no calc.) 12. *Inverse trig: p.466 # (no calc.; let inv. func. = θ, draw triangle) 13. *Trig Identities: p #8-24 even, 32, 42, *Solving Trig Equations: p. 502 (no calc) #1-18 algebraically only, [0,2π] 15. *Sum and Difference Angle Identities: p. 509 #4-28 by fours 16. Half and Double Angle Identities: p. 518 # 20, 22, 24 (algebraically), 32, 34,
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