Precalculus/Trigonometry (PCT) (Period 0) Assignments
- Instructor
- Mr. Daniel Prinkey
- Term
- 2018-19 School Year
- Description
-
After School Tutoring Options:Monday - room 315Tuesday - room 213Wednesday - room 306Thursday - room 309Lunch on Tuesday and Thursday in room 313
Files
Upcoming Assignments
No upcoming assignments.
Past Assignments
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Day 3 of Final
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Day 2 Final
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Day 1 Final (semester review is available in Google Classroom)
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HW#58
page 452 #25, 27, 29, 47, 51
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HW#57
page 430 # 39, 41, 47, 53, 57, 61, 75, 77, 87, 105; Airplane Vector Problems (document located in the Google Classroom)
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HW#56
page 440 #7, 9, 23, 25 (use the component forms of the vectors u=<2, 6> and v =<-5, 2>), 43, 45; find the unit vector for v=<-2, 3> (answer: <-2/Sqrt(13), 3/Sqrt(13)>
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HW#55
page 429 #13, 17, 19, 37(a)(b), 39(a)(b)
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Quest: (Law of Sines/Cosines and Area)
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Complete all Envelope Problems on Law of Sines, Law of Cosines, and Area of triangles; additionally, working on the semester review should be ongoing as your final is right around the corner!
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HW#54
page 410 # 35, 37, 42 (answer: 77.1 meters), 46(answer: 15.5 km from Colt Station; 42.3 km from Pine Knob, 48(answer: 3.2 miles); page 417 # 11, 15, 17, 21, 39, 41
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Complete Example 1 from today's notes. (B=107.6 degrees; C = 25.4 degrees)
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HW#53
Complete the Envelope Problems started in class (Law of Sines)
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HW#52
read pages 404 & 405; do page 410 #7, 9, 11, 13, 15, 17, 41, 43
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Chapter 5 Test
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HW#51
page 391 # 49, 59, 63
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HW#50
page 391 # 65, 69, 71
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HW#49
page 391 # 51, 55, 57, 52 (use your calculator to see if your answers match the sin, cos, and tan of the given angle)
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HW#48
page 391 #35, 41, 43, 45, 47; begin working on the review for the semester 2 final (located in Google Classroom)
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Complete the PRF derivations and the examples in the Slide show for section 5.5(B) (located in the Google Classroom)
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HW#47
page 390 # 9, 11, 13 (HINT: think of condensing the sin DAF to rewrite the equation), 15, 17 (HINT: rewrite sin4x using a DAF so that all the arguments are 2x), 21, 23, 27, 29
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For tomorrow, complete the notes for 5.5(A), meaning develop all of the DAF's and work out the examples. The notes are located in the Google Classroom.
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Quiz on Solving Multiple Angle Equations
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HW#46
pagew 381 #23, (27, 29, 31: for these, determine whether a sum or difference formula was used and then work backwards), 35, 39, 43, 45, 47, 53, 55, 57, 69, 71
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HW#45
page 381 # 13, 15, 17 (for 13, 15, and 17 find sin and cos only. Please note the angles you need to use in the formulas are provided), 19, (sin and cos only)
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HW#44
MORE Multiple Angle Equations (see Google Classroom)
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The only HW is to go back and fix test mistakes and to continue studying the SHM material.
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HW#43 (located in Google Classroom)
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HW#42
Solving Multiple Angle Equations document (located in the Google Classroom)
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HW#41
page 374 #61-67 (odd)
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HW#40
Complete the trig equation document started in class (located in Google Classroom)
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HW#39
page 373 # 9, 11, 17, 19, 29-47(odd)
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HW#38
page 364 #71, 72, 73, 87; page 396 # 25 (you will have to rationalize the denominator at some point), 27, 28, 29, 30, 31, 33, 37, 38
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HW#37
page 355 #84 (answer: 8sin(theta)), 88 (answer: square root of 5 times sin(theta)), page 362 # 42, 44, 46, 50, 52, 54, 56, 60, 86 (answer: a sin (theta))
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Read the notes for Simple Harmonic Motion (located in the Google Classroom)
HW#36
page 336 # 55-63 (odd), 64 (answer: d=1.75cos(pit/5)
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Chapter 4 Test (4.6~4.8)
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HW#35
page 342 #123, 127, 133, 143, 147, 151, 153, 167-173(odd), 179, 181, 185, 187
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HW#34
page 334 #41, 42 (answer: 554.1 miles north; 709.2 miles east), 43, 44(answer: S27.98 degrees W), 45
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HW#33
page 333 #27, 28 (answer: 11.81 km), 29, 31, 33, 38 (a: 21.21 ft; b: theta = arctan (21.21/d); c: [36.74 ft, 45.48 ft]), 39
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HW#32
page 332 # 5, 7, 9 (recall that solving a right triangle means all angle measures are known and all side lengths are known), 19, 21, 23, 24 (answer: 0.66 miles), 25 *These are right triangle (SOH CAH TOA) problems. If you need a review on solving, please read pages 326 - 328.
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Quarter III Benchmark: Day 2
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Quarter 3 Benchmark : Day 1
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HW#31
page 323 #65-79(odd)
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HW#30
page 343 # 167-179 (odd)
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HW#29
page 323 # 19, 25, 29, 53-63(odd: no calculator)
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HW#28
page 322 # 5-13(odd)
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HW#27
Work on the review for the Quarter III Benchmark (located in Google Classroom); complete the Envelope Problems started in class (don't label the Envelope problems as HW#27)
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HW#26
Complete the Sunspot, Satellite, and Tarzan problems on the ACF Worksheet (located in the Google Classroom)
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Complete the Paddle Wheel Problem from the Applied Circular Functions worksheet (located in the Google Classroom)
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HW#25 (located in Google Classroom)
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Test 4.1~ 4.4 (including identities)
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Review for Thursday's Test: page 340 # 7- 81 (odd), 82, 83-113 (odd); page 396 # 27-38. You need not necessarily do all of these problems, just be sure you understand these concepts. You should concentrate on the types of problems with which you feel you need the most practice.
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HW#24
page 311 # 5, 9, 11, 13, 21, 27, 35, 37 (for 35 & 37:graph the left side of the equation in Y1 and the right side of the equation in Y2; then set your window using x-min=-2pi and x-max = 2pi; find the points of intersection), 39, 59, 63
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HW#23
page 311 #15, 17, 19, 21, 25, 41, 43
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HW#22
page 342 #123, 127 (use even/odd properties), 129-133(odd)
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HW#21
page 299 #11-19 (odd), 43,-53(odd), 57-69(odd: find amplitude and period only)
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Identities Quiz
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HW#20
Identities Worksheet (located in Google Classroom)
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HW#19
page 341 #85, 87, 89, 91, 93
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HW#18
page 289 # 15, 19, 27, 29, 31, 33, 35, 37; Bring graph paper
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HW#17
page 362 # 1-7(odd), 35-40(all)
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HW#16
page 356 # 95, 97, 99; page 363 # 67, 69, 70, 85, 87
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HW#15
page 281 # 59-66(all); page 354 #21-31 (odd); bring graph paper for Monday
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HW#14
page 362 # 11-19(odd), 31, 33
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HW#13
page 354 #33-53(odd), 79-89(odd)
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HW#12
page 281 # 37-51(odd), 53-57(odd)
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HW#11
page 281 #21, 25, 27, 29
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HW#10
page 281 # 67-71(odd); page 290 # 103-107(odd); For practice labeling and finding trig ratios from right triangles: page 280 # 13-19(odd: Sketch a Quadrant I right triangle; find the missing side; then set up the 6 trigonometric ratios using SOH CAH TOA)
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HW#9
page 270 # 39-45(odd: use the even/odd properties and period as an aid); page 290 #39-45(odd)
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HW#8
page 289 # 23, 25
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Linear and Angular Speed Envelope Problems started in class are due.
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HW#7
page 270 #13-21 (odd: if using reference table: find cos and sin ratios for each given "t" value. This corresponds to a point on the unit circle), 23-31(odd), 39-45 (odd: use reference table or unit circle only)
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Study the reference table or the unit circle.
Please print up and fill out the last page of the Semester 2 Course Syllabus after you and your parent/guardian have read the information.
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HW#6
Read sec 4.2 pages 265-266, do page 270 #1, 13-21 (odd)
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HW#5
page 340 # 39; page 345 #2 (answer: 44.4 rads/sec),
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HW#4
page 263 #113, 115, 121
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HW#3
page 263 #105, 106 (about 686.3 miles), 107, 108 (about 23.9-degrees), 109
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HW#2
page 262 #47, 49, 51, 53, 55, 57, 65, 75, 77, 93, 97, 103 (93, 97, and 103 use theta (in rads) = s/r)
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Second Semester is a fresh start!
HW#1
page 261 #13, 19, 21, 23, 25, 27, 35, 41, 43, 83-91 (odd); Complete the Semester 1 Reflection (located in the Google Classroom). The reflection is due no later than Friday.
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If you opt to retake one test, you will take it on this day during zero-period. Please let me know which test (Chapter 1 Calc OK, Chapter 1 No Calc, Chapter 2 Calc OK, Chapter 2 No Calc) you wish to take no later than Wednesday, January 16.
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Semester 1 Review for the final is due
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Semester Final Day 3
No Calculator
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Semester Final Day 2
No Calculator
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Semester Final Day 1
Calculator OK
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HW#56
page 282 #73, 75, 77, 78 (answer: (a) 45-degrees (b) 50 times the square root of 2 feet), 79
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Chapter 3 Test
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HW#55
page 248 # 1-3 (find the asymptotes and intercepts only), 4-6(no calculator), 7-9, 11, 13-28
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HW#54
Chapter 3 Practice located in Google Classroom
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HW#53
page 238 #5-9(odd), 31, 33, 37
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HW#52
page 229 # 27, 29, (31, 35 think "Fruit Fly Fiasco" from today's notes)
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HW#51
page 229 #25 (use half-life to find the rate of decay first (b in the model)), 39, 40 (answer: 95.8%)
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HW#50
page 217 #s 7, 15, 23, 25, 27, 33, 37, 39, 45, 49, 51, [59, 67, 71, 73, 77, 97, 105, 111, 113: do 59-113 algebraically only]
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HW#49: Located in Google Classroom
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HW#48
page 207 #59-63(odd), 69-83(odd), 91, 93, 95, 101
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HW#47
page 207 # 5, 9 (for 5 & 9 use the change of base formula: log(argument)/log(base)), 37-43(odd), 47-57(odd) *You are using the properties on page 204 of your textbook
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CW/HW#46
page 199 #9, 13, 17, 19, 23, 25, 27, 31, 35, 39, 45, 49, 59, 65, 77, 81, 87, 89
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HW#45
page 190 #59 (do both algebraically and by using the intersection feature of your calculator), 65, 73, 75, 79, 81, 85
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HW#44
page 199 #45-49(odd), 51, 53, 93-97(odd)
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HW#43
page 189 #5, 17, 19, (37-43 (odd); do #s 37-43 as done in class: identify the parent, list the transformations, write the function rule, find the key points, including the x and y intercepts, and graph)
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Test on Rational Functions and Partial Fraction Decomposition
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HW#42
page 500 #67, 71, 73
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HW#41
page 500 #61, 63
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HW#40
Complete the Rational Function practice documents started in class (see Google Classroom)
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HW#39
page 157 #17-31(odd)
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HW#38
page 148 # 17, 19, 21, 23, 25 & 27 (the function is continuous if there aren't any VA's), 37, 41
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HW#37
page 143: Describe the vertical and/or vertical asymptotes for the the graphs pictured at the bottom of the page.
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Chapter 2 Test on sections 2.1~2.5, 2.8
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Quiz on sections 2.1~2.5
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HW#36
page 141 #51, 53; read the document in Google Classroom for section 2.8. Be sure to do the HW problems listed at the end of that document.
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HW#35
page 134 #61-87(odd); page 141 #59-63(odd), 45-49(odd)
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HW#34 continued (use the same sheet of paper you used for the first part of HW#34)
Page 133 #33-55(odd)
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HW#34
Page 133 #7-31(odd)
*Tuesday morning we will go to the field for you to collect your data for your Quarter Project. Report to class first. The rubric for the project is in Google Classroom.
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Quarter 1 Benchmark Practice
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HW#33
Complete Quarter I Benchmark Practice
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HW#32
page 125 # 59, 61
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HW#31
page 125 #45, 47, 49, 51, 55, 57
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HW#30
page 124 #9, 11, 23 (you used synthetic division in algebra 2 and also in this class), 39, 41
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HW#29
page 110 #69, 73, 75, 77, 79, 91
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HW#28
page 110 # 91: just describe the graph in terms of its end behaviors, its zeros and their multiplicities, and the y-intercept
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HW#27
page 110 #47-57(odd), 87, 89, 91
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HW#26
page 110 #37-47(odd), 59, 61 (relative extreme are max and mins), 81, 83, 85 (The Leading Coefficient Test means use the functions end behaviors)
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HW#25
page 109 # 17-21 (odd)
Identify the end behaviors, the parent function, list the transformations, write the function rule, use the rule and the 3 key points of the parent to find 3 points to graph, if needed find both x and y intercepts and graph those too.
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HW#23
Complete your notes on section 2.2(a) (using the document in Google Classroom); page 111 # 109 (for part c, let x = 1, 2, 3, 4, 5, 6, 7 in your table), 110 (answers: (a) use the diagram to verify (b) (0, 6), (c) max occurs at x = 2.54 inches)
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HW#22
page 96 # 31-35 (odd: Use completing the square to put the function into standard or vertex form), 63; page 110 # 65, 71 (for 65 and 71 find the vertex and the y-intercepts as well. Check your answers by graphing using your calculator)
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HW#21
See Google Classroom for the documents "Quadratics: Review and Practice" and "More 2.1 Practice""
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Chapter 1 Test
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HW#18
Complete the Inverse Practice worksheet located in google classroom
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CW 10/10
See Google Classroom
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HW#20
(Label all of the envelope problems in this last round as HW#20). Complete the Envelope problems.
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Complete 4 additional problem sets from the Envelope Problems started in class.
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HW#19
page 76 #5 - 9(odd) , 19 (skip part b as that is asking you to find the "line of best fit" by hand), 21, 23, 29
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HW#17
page 67 # 25(a)(b), 29(a)(b), 35, 37, 47, 91, 95-99(odd), 105, 109, 115, 117
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HW#16
page 67 # 19-23(odd: show that f(g(x)) = x and g(f(x)) = x only.), 39, 41, 43 (note: one-to-one function means the function's inverse is also a function)
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There is a link on the opening page for a video reviewing how to find the domain of a function and how to write the domain of a function using interval notation. It is recommended you watch the video if you need a little extra help with this concept.
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HW#15
page 58 #81, 82(answers: (a) A(r(t))=0.36(pi)(t^2); the area of the circle at time t), 83, 87, 89, 91
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HW#14
page 57 #41, 45, 49, 53, 55, 59, 65, 69, 70, 73, 77
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HW#13
page 56 #7, 9, 15, 17, 25, 29, 31, 33, 67
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Quiz on sections 1.3~1.4
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HW#12
page 83 # 55-59 (odd), 67, 69, 73, 75, 77, 79, 83, 85, 101(a~c), 103(a~c)
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HW#11
page 47 #11, 19 ( just list the new ordered pairs after applying the transformation), 51(a~c), 61(a ~c), 63(a~c), 73, 75
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HW#10
page 38 # 47, 51
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HW#9
page 38 # 55, 59, 61
Bring graph paper
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HW#8
page 38 # 73-89 (odd)
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HW#7
Page 37 #7, 9, 13, 15, 27, 29, 31, 33, Note: recall that even functions reflect or have symmetry with the y-axis and odd functions have symmetry with the origin (reflects both x and y axes), 63, 69,71
Be sure to sketch your graphs
Zoom 6 is a good starting window and then adjust as needed from there.
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HW#6: page 28 # 83, 85, 86 (answer: 3x^2+3hx+h^2+1)
Quiz is Tuesday: From section 1.1 know how to do problems like those on page 12 #63-76, 89-92; Study notes and re-do examples and homework problems (for practice, not for collection) from section 1.2. The Difference Quotient will not be on this quiz.
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HW#5
page 83 #s 47, 48 (answer: all real numbers); Study sections 1.1 and 1.2 for Tuesday's quiz
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HW#4
page 26 # 67, 69, 76(a) V(x)=x^2(108 - 4x); domain: (0, 27) (b) graph V(x) and sketch the graph from your calculator; label axes; indicate viewing window used (c) width and height = 18 in.; length = 36 in.; Quiz 1.1 on sections 1.1 and 1.2 on Tuesday