Honors Trig./Pre-Calc

Honors Trig./Pre-Calc.

Mrs. VanBuskirk

5th & 6th Hours

Current Syllabi for Honors Trig.

Chapter 3

Radian Measure & The Circular Functions

Tentative
Date / Section / Pre-Read / Assignment /
9-10 / 3.1 Radians / p. 104-107 / p. 107-109: 5-13 odd, 21-73 odd /
9-11 / 3.2 Applications of Radian Measure / p. 109-113 / p. 113-117: 1-57 odd
9-14 / Quiz 3.1-3.2
(No Calculator)
9-15 / 3.3 Circular Functions / p. 118-123 / p. 125-126: 1-71 odd
9-16
9-17 / 3.4 Linear and Angular Velocity / p. 127-129 / Day 1: p. 130: 1-9 odd, 13-23 odd
Day 2: p. 130-131: 27-37 odd, 38, 39, 41, 46 and worksheet (worksheet will be collected for a grade)
9-18 / Chapter 3 Review / p. 133-135: 1-67 odd
9-21 / Chapter 3 Test

Honors Trigonometry

Chapter 3 Journals

Choose any two of the journal prompts from below (1-3) to answer OR you may choose to write on the History of Trigonometric Terms (see separate writing instructions below). Please include the prompt # and prompt before you start your journaling. You may hand-write, type,or send an electronic version (Word attachment via email)of your journals. Please keep in mind that all sentences in journals/writing must be "complete." Please, note the due date that is on your syllabus for your journal choices. If you are sending an electronic attachment, it must be sent by a time that is prior to the meeting time of your class on that day and must include your full name and class hour at the top (header). Ifyour electronic attachment has "techinical difficulties,"a grade of zero will be earned - no excuses. My email is

1. Explain the difference between a radian measure of an angle and a degree measure of an angle. In your explanation, you must include the way to convert one type of angle measure to the other (radians to degrees AND degrees to radians).

2. Describe the difference, given a circle, between finding the area of a sector of that circle, and finding an arc length of that circle. A diagram and clear examples of each must be shown.

3. Describe the difference, between finding linear velocity, and finding an angular velocity. Clear examples of each must be shown.

History of Trigonometric Terms

On page 124 Connections, there is a discussion about the history of trigonometric terms. Write a paragraph (or more) expanding on the information, or choose one of the mathematicians listed and write about his contribution to trigonometry. You must cite your source(s) for this piece of writing.

Plagiarism will earn you a zero.

PAST (2015-)Syllabi for Hon. Trig

Honors Trigonometry

Chapter 1 – The Trigonometric Functions

Mrs. VanBuskirk

Tentative
Date(s) / Section(s) / Pre-Read / Assignment
8/17 & 8/18 / *1.1 Basic Concepts
1.2 Angles / p. 1-11
p. 15-21 / p. 21-23 1-4, 5-35 odd,
39-51 odd, 57-73 odd, 76, 80
*This assignment does not include any problems from section 1.1. However, students are expected to be able to handle the material, since it is review of basic mathematical concepts. Please ask for help if you need any clarification on these topics.
8/19 & 8/20 / *1.3 Triangles
1.4 Trigonometric Functions / p. 24-29
p. 36-41 / Day 1 p. 41 1-4, 5-15 odd, 16, 17-29 odd
Day 2 p. 41-43 33-45 odd, 47-62, 63
(Note: on #57-62 you will need to place a graphing calculator in “parametric mode.” )
*This assignment does not include any problems from section 1.3. However, students are expected to be able to handle the material, since it is review of basic mathematical concepts. Please ask for help if you need any clarification on these topics.
8/21 / Quiz 1.1-1.4
8/24 & 8/25 / 1.5 Using Definitions of the Trig. Functions / Day 1 p. 43-46
Day 2 p. 46-50 / Day 1: p. 50-51 1-55 odd
Day 2: p. 51-52 57-63odd, 68, 69-75 odd, 79
8/26 / Chapter 1 Review / p. 55-59 1-27 odd, 41-75 odd, 22, 52, 72
Journals Due
8/27 / Chapter 1 Test

Just a few reminders for our class as we start our first chapter…

*When you are absent, please follow the syllabus for missed assignments. Please note that dates & assignments above are tentative and may have been changed while you were out - check with me at the end of the hour once you have returned.

*Assignments are “mandatory.” If you choose not to do an assignment/problem, it will reflect on a homework quiz grade.

*If you know you are going to be absent (pre-arranged absence), please work ahead and request any needed materials from me well in advance so that you are caught-up upon your return to class.

* When the bell rings each day, be ready to start with notes and/or homework questions (from previous day). I try to give you as much time as I can for work/questions in class, so it is essential that you are ready when the bell rings.

Honors Trigonometry

Chapter 1 Journals

Choose any two of the journal prompts from below to answer. Please include the prompt # and prompt before you start your journaling. You may hand-write, type,or send an electronic version (Word attachment via email)of your journals. Please keep in mind that all sentences in journals must be "complete." Please, note the due date that is on your syllabus for your journal choices. If you are sending an electronic attachment, it must be sent by a time that is prior to the meeting time of your class on that day and must include your full name and class hour at the top (header). Ifyour electronic attachment has "technical difficulties," a grade of zero will be earned - no excuses.

My email is

1.  In your own words define domain, range, and function. Give an example to help explain your definitions.

2.  Discuss how an angle is put into standard position. What do clockwise and counterclockwise rotations represent? Give examples to support your explanation.

3.  Trigonometric functions are positive in two quadrants and negative in two quadrants. Discuss which functions are positive/negative in which quadrants and explain what makes them positive/negative.

4.  The domain for the trigonometric functions is, for the most part, all reals; however, their range values differ. Discuss the range values for each of the six functions.

Chapter 2 Syllabus

Date / Section / Read / Assignment
8/28 / 2.1 Trig. Functions of Acute Angles / p. 62-68 / p. 68-71 1-6, 7-33 odd, 35-42, 47-55 odd, 59-65 odd, 68
8/31 / 2.2 Reference Angles / p. 71-75 / p. 75-77 1-6, 7, 9, 19-33 odd, 35-38, 39-45 odd, 49-59 odd
9/1 / 2.3 Finding Trig. Values using Calculator / p. 77-80 / p. 80-83 5-63 odd
9/2 / Quiz 2.1-2.3
9/3 / 2.4 Solving Right Triangles / p. 83-87 / p. 87-91 1-15 odd, 23-59 odd
9/4 / 2.5 Further Applications / p. 91-95 / p. 95-98 5-8, 9-33 odd
9/8 / Chapter 2 Review / p. 99-102 1-9 odd, 13-35 odd, 39, 41, 45-57 odd
Journals Due
9/9 / Chapter 2 Test

Honors Trigonometry

Chapter 2 Journals

Choose any two of the journal prompts from below to answer. Please include the prompt # and prompt before you start your journaling. You may hand-write, type,or send an electronic version (Word attachment via email)of your journals. Please keep in mind that all sentences in journals must be "complete." Please, note the due date that is on your syllabus for your journal choices. If you are sending an electronic attachment, it must be sent by a time that is prior to the meeting time of your class on that day and must include your full name and class hour at the top (header). Ifyour electronic attachment has "technical difficulties," a grade of zero will be earned - no excuses. My email is

1. Tell me everything you know about cofunctions in four sentences or less.

2. What is a reference angle? Discuss how to find the reference angle for each quadrant.

3. What does it mean to “solve a right triangle?” Be specific.

4. Explain angle of elevation and angle of depression. How are they related

mathematically? Provide an illustration of each

PAST (2014) Syllabi for Hon Trig.

Chapter 4

Graphs of the Circular Functions

Date / Section / Pre-Read / Assignment /
9-22 & 9-23 / 4.1 Sine and Cosine Graphs / p. 138-149 / Day 1 Sin/Cos Graphs Worksheet
Day 2 p. 150-154: 1-8, 9, 11, 15, 17,
21, 25, 33-35, 39, 43, 45, 57, 59 /
9-24 / 4.2 Horizontal and Vertical Translations / p. 154-162 / Worksheet 4.1-4.2
9-25 / Quiz 4.1-4.2
4.3 Graphs of Other Circular Functions / p. 166-177 / Sec/Csc Graphs Worksheet
9-26 / 4.3 Continued
(Secant & Cosecant cont’d) / p. 166-177 / p. 177-178: 7,8, 13, 17, 21
9-29 / 4.3 Continued
(Tangent & Cotangent) / p. 166-177 / p. 177-178: 9-12, 23, 27, 29, 35, 39, 41
9-30 / Work Day/Project Day/Review / Temperature Project in class work
10-1 / Work Day/Project Day/Review &
Chapter 4 Review / Temperature Project in class work
p. 180 – 181: 1, 2, 17-22,
25-41 odd & p. 154: 60a
10-2 / Chapter 4 Review &
Chapter 4 Test - partial (25-30 minutes) / Temperature Project Due
10-3 / Chapter 4 Test
- completion(20-25 minutes) / (Possible last test grade of 1st Quarter)

Chapter 5

Trigonometric Identities

Tentative
Date / Section / Pre-Read / Assignment
10-6 / 5.1 Fundamental Identities / p. 186-190 / p. 191-193: 1-21 odd, 23-32, 37-51 odd
10-7
10-8 / 5.2 Verifying Identities / p. 193-199 / Day 1 p. 200: 1-31 odd
Day 2 p. 200: 33-66 every 3rd problem, 75-87 odd (5th hour omit 75-83)
10-9 / Quiz 5.1-5.2
10-14/
10-15 / 5.3 Sum/Difference
Identities - Cosine / p. 202-207 / p. 207-209: 3-69 every 3rd problem, 81, 82
10-16
10-17 / 5.4 Sum/Difference Identities - Sine/Tangent / p. 210-214 / Day 1 p. 214-215: 3-8, 9-37 odd
Day 2 p. 215-217: 41, 45, 49, 51-63 odd, 65, 69, 71
10-20 / Quiz 5.3-5.4
10-21 / 5.5 Double-Angle Identities / p. 217-222 / p. 223-225: 1-6, 7-33 odd, 47, 49
10-22 / 5.6 Half-Angle Identities / p. 226-230 / p. 230-232: 5-10, 11-17, 21-47 odd
10-23 / Chapter 5 Review / p. 234-236: 1-7, 11, 13, 14, 15, 20-28, 31, 35-41 odd, 49-73 every other odd
Chapter 5 Journals Due Today
10-24 / Chapter 5 Test

*Chapter 5 Journal topics will be distributed at the beginning of 2nd Qtr

Chapter 6

Date / Section / Pre-Read / Assignment
10/27
10/28 / 6.1 Inverse Trig. Functions / p. 238-249 / Day 1 p. 249-250: 1-4, 5-49 odd
Day 2 (should be a “work day” as I will teach all of 6.1 on DAY 1)
p. 251-252: 57-99 odd, 100
10/29 / 6.1 Worksheet / WS Due at the end of the hour
10/30 / 6.2 Trig. Equations I / p. 253-259 / p. 259-261: 1-4, 9-61 every other odd
10/31 / 6.3 Trig. Equations II / p. 261-268 / p. 266-267: 1-39 odd
Day may be omitted from syllabus
11/3 / 6.1-6.3 Work Day / Day may be omitted from syllabus / Q & A Session in class
11/4 / Quiz 6.1-6.3
11/5 / 6.4 Inverse Trig. Equations / p. 268-271 / p. 272-274: 5-19 odd, 23-45 odd
If you will not be in 6th hour on 11/7
(“cuts for cancer”) you MUST see me today (11/5)!
11/6 / Chapter 6 Review / p. 276-278: 1-4, 5-21 odd, 27-71 odd
Journals Due
11/7 / Chapter 6 Test

Chapter 6 Journals

Complete both of the of the journal prompts from below. Please include the prompt before you start your journaling. You may hand-write, type,or send an electronic version (Word attachment via email)of your journals. Please keep in mind that all sentences in journals must be "complete." Please, note the due date that is on your syllabus for your journal choices. If you are sending an electronic attachment, it must be sent by a time that is prior to the meeting time of your class on that day and must include your full name and class hour at the top (header). Ifyour electronic attachment has "techinical difficulties," a grade of zero will be earned - no excuses. My email is

1] How do you determine whether a function has an inverse? Explain why the domains of the trig functions have to be restricted in order to have an inverse. Discuss the six inverse functions and the restrictions placed on each.

2] Describe the procedure to solve the trigonometric equation cos3x = a, where “a” is a positive real number.

Chapter 7

Date / Section / Pre-Read / Assignment
11-10 / 7.1 Law of Sines / p. 281-287 / p. 289: 1-19 odd, 25-35 odd, 39-49 odd
11-12 / 7.2 Ambiguous Case / p. 294-297 / p. 298-299: 5-31 odd
Worksheet 7.1-7.3 – distributed in class
11-13 / 7.3 Law of Cosines / p. 299-305 / p. 306-309: 3, 5, 7-23 every other odd, 25-41 odd, 47-53 odd
11-14 / Work Day for 7.1-7.3 / In-Class Journal Today
Q & A Session in class
11-17 / Quiz 7.1-7.3
11-18 / 7.4 Vectors and Dot Product / p. 309-310 / Day 1: p. 317: 7-39 odd
11-19 / 7.4 Vectors and Dot Product-cont’d / p. 311-316 / Day 2: p. 318-319: 41-95 odd
11-20 / 7.5 Vector Applications / p. 319-321 / p. 322-323: 1-15 odd
11-21 / Chapter 7 Review / p. 326-330: 1-5 odd, 9-23 odd, 27-55 odd, 59, 61-63
11-24 / Chapter 7 Test /
Happy Thanksgiving!

Chapter 8

Date / Section / Read / Assignment
12-1 / 8.1 Complex Numbers / p. 334-341 / Worksheet 8.1
12-2 / 8.2 Polar Form of Complex Numbers / p. 344-348 / p. 348-350: 3-57 odd
12-3 / Quiz 8.1-8.2
12-4 / 8.3 Products and Quotients / p. 350-353 / p. 353-354: 3-31 odd, 43,45
12-5 / 8.4 Powers and Roots / p. 355-358 / p. 359-361: 1-43 odd, 49-
55 odd
12-8 / Review 8.1 – 8.4 / p. 384: 1-51 odd
12-9 / Test 8.1 – 8.4
12-10 &
12-11 / 8.5 Polar Equations / p.361-363 / Day 1 p. 370-373: 1-22
Day 2
12-12 / Quiz 8.5
12-15
12-16 / Final Exam Review