Mrs. Meehan PRE-CALC Feb-May 2014 Name

Transcription

1 Mrs. Meehan PRE-CALC Feb-May 2014 Name 1. Logarithm rules (Chapter 4 text) 2. Graphing Transformations Exp. & Log. 3. Algebra Review #3 4. Practicing logs-flash cards 5. Solving Equations with logs 6. Quiz #2 7. Polynomial Functions (Chapter 3 text) 8. Long division, synthetic division, remainder theorem, factor theorem, rational root theorem 9. Quiz #3 10. FTA, Linear factorization theorem, multiplicity of roots, complex conjugate roots 11. Quiz #4 12. Rational Functions (Chapter 5 text) Notes 13. Quiz #5 14. Rational Functions discussion 15. Rational Functions project 16. Quarter 3 Exam 17. Patterns 18. Guard Duty 19. Quiz #1 20. Discussion: Always Back & Forth Q1 21. Back & Forth Revisited 22. Quiz #2 23. Discussion: Always Back & Forth Q2 24. Patrol Duty 25. Quiz #3 26. Graphing Periodics I, II, III

2 27. Finding Equations of Trig. functions 28. QUIZ #4 Finding equation from a graph 29. Amusement Park Lab 30. Breathing Lab 31. Matching graphs and equations 32. ALGEBRA REVIEW TEST 33. Unit circle & Reference Angles 34. SOHCAHTOA 35. Memory Chart 36. Cofunctions 37. Graphing y=tan(x), y=cot(x), y=sec(x) & y=csc(x) 38. Inverse trig functions 39. Graphing y=sin -1 (x), y=cos -1 (x) & y=tan -1 (x) 40. Solving trig equations 41. QUIZ #5 42. Trig Identities 43. Sum & difference angle formulas 44. Double angle formulas 45. Half angle formulas 46. QUIZ #6 47. Review for FINAL

3 ASSIGNMENTS 1. Chapter 4 p (logs) 2. Chapter 4 p (logs) 3. Chapter 4 p (logs) 4. Chapter 3 p ; (poly.) 5. Chapter 3 p , 232 (degree, EBT) 6. Chapter 3 p (theorems) 7. Chapter 3 p (Rat. Rt. Thm.) 8. Chapter 3 p (Complex # s) 9. Chapter 3 p (Linear Factorization) 10. Chapter 6 sec 4 sin and cos graphs 11. Chapter 6 sec 1 (up to p. 397) angle measure 12. Chapter 6 sec 2,3 right triangle trig and unit circle 13. Chapter 6 sec 5 tan, cot, sec, csc graphs 14. Chapter 6 sec 6 sinusoidal functions 15. Chapter 6 sec 7 inverse trig functions 16. Chapter 7 sec 1, 2 trig identities 17. Chapter 7 sec 3 solving trig equations 18. Chapter 7 sec 4 sum & difference of angles formulas 19. Chapter 8 sec 1, 2 Law of Sines, Law of Cosines TEXTBOOK 20. p. 306 #1-22 (evaluate logs), #37-40 (transformations) 21. p #9-16 (rewrite bases), #25-50 (use log rules) 22. p #21-26 (graph, domain, range, asymptotes), #41-46 (domain, solve algebraically, extraneous solutions) 23. p #9, (Give the EBT & EBM) 24. p. 234 #36, 40, (Leave in factored form.)

4 25. 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)) 26. p #47-52 (Write p(x) in factored form) 27. p. 260 #37,40,43 *** See next page for directions 28. p #1-7 odd, all, odd (Complex Number Review) 29. p #9-16 (Multiplicity of roots; write in factored form, match the graph-no calculator), #33, 35 BINDER ACTIVITIES 30. Guard Duty HW 31. Patrol Duty HW 32. Graphing Trig Functions HW Finding Equations of Trig Functions HW GRADED ACTIVITIES 34. Polynomial Problem Set (See below-individual) 35. Rational Functions Project (group) 36. Essay: Rational Functions (individual) 37. Back & Forth Revisited (individual) 38. Amusement Park Lab (group) 39. Breathing Lab (group) 40. HANDOUT #1 (see directions below) 41. HANDOUT #2 (see directions below) 42. Trigonometry Problem Set (See below-individual)

5 QUIZZES 43. QUIZ #2: Graphing Transformations Exponential 44. QUIZ #3: Graphing Transformations Logarithms 45. QUIZ #4: Polynomial Functions' Theorems 46. QUIZ #1: Polynomial Functions' Theorems 47. QUIZ #2: Rational Functions 48. QUIZ #3: Simplifying & Solving Logarithms 49. QUIZ #4: Periodics 50. QUIZ #5: Graphing sin/cos with transformations 51. QUIZ #6: Finding equation from a graph 52. QUIZ #7: Evaluating Trig Functions with Reference Angles TESTS 1. STUDY for Algebra Review Test #3 2. STUDY for QUARTER EXAM 3 3. STUDY for Algebra Review Test #4 ***Directions for problems on #27 p. 260 #37, 40, 43 and #34 p. 277 #36, 40 and 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 Polynomial Problem Set 1. p. 249 #62 Explain, show your method is correct, #64 2. p. 262 #61 (graphically), 62 (algebraically) How does #61 inform #62? 3. p. 276 #20 Write the function, sketch the graph without a calculator, explain 4. p. 277 #36, 40, 42 *** 5. p. 277 #46, 48 (If yes, do so; if no, explain why not), #50 (Explain. Leave in linear factored form.) Grading for the fourth quarter: 50% Quizzes, Algebra Review Test 50% HW and projects Handout #1 1. Using a scale of 2 blocks equals 1 unit, accurately draw on graph paper y = sin(x) from 2. Using a scale of 2 blocks equals 1 unit, accurately draw on graph paper y = cos(x) from Handout #2 1. Using a scale of 2 blocks equals 1 unit, accurately draw on graph paper y = tan(x) from 2. Using a scale of 2 blocks equals 1 unit, accurately draw on graph paper y = cot(x) from 3. Using a scale of 2 blocks equals 1 unit, accurately draw on graph paper y = sec(x) from 4. Using a scale of 2 blocks equals 1 unit, accurately draw on graph paper y = csc(x) from

7 Trigonometry Problem Set 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 9. *Trig functions' characteristic chart (handout) 10. Inverse trig: p #1-12 all (no calc), even (calc) 11. Inverse trig: p.466 (no calc) #23-30 (no calc., let inv. func. = θ, draw triangle) 12. *Inverse trig: p.466 (no calc.) # (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, Trigonometry Problem Set DUE Thurs., MAY 28 NO EXCEPTIONS (seniors May 16) 8 (seniors-first 5 listed) assignments: required* #1, 4, 8, 9, 12, 13, 14, 15 4 (seniors-any 2) assignments: student-choice from #2, 3, 5, 6, 7, 10, 11, 16 NEAT, LABELED & ORGANIZED. ONE assignment per page with name. Paper-clipped. Show work as appropriate.