Honors Trig./Pre-Calc.

Mrs. VanBuskirk5th & 6th Hours

Current Syllabi for Honors

Trig.

Chapter 3Radian Measure & The Circular Functions

TentativeDate

Section Pre-Read

9-10 3.1 Radians p. 104-107

p. 107-109: 5-13 odd, 21-73

9-11 3.2 Applications of Radian Measure

p. 109-113

9-14 Quiz 3.1-3.2(No Calculator)

TentativeDate

Section Pre-Read

9-10 3.1 Radians p. 104-107

p. 107-109: 5-13 odd, 21-73

9-15 3.3 Circular Functions

p. 118-123

9-169-17

3.4 Linear and Angular Velocity

p. 127-129

Day 1: p. 130: 1-9 odd, 13-23

Day 2: p. 130-131: 27-37

worksheet

9-18 Chapter 3 Review

9-21 Chapter 3 Test

Honors TrigonometryChapter 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).   If your electronic attachment has "techinical difficulties," a grade of zero will be earned - no excuses.  My email is avanbuskirk@ecusd7.org

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. TrigHonors Trigonometry

Chapter 1 – The Trigonometric FunctionsMrs. VanBuskirk

TentativeDate(s)

Section(s) Pre-Read Assignment

8/17 & 8/18 *1.1 Basic Concepts

1.2 Angles

p. 1-11p. 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. 24-29p. 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

8/26Chapter 1 Review

p. 55-59 1-27 odd, 41-75 odd, 22, 52, 72Journals 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 TrigonometryChapter 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).  If your electronic attachment has "technical difficulties,"  a grade of zero will be earned - no excuses.  My email is avanbuskirk@ecusd7.org

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 SyllabusDate 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 oddJournals Due

9/9 Chapter 2 TestHonors Trigonometry

Chapter 2 JournalsChoose 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).  If your electronic attachment has "technical difficulties,"  a grade of zero will be earned - no excuses.  My email is avanbuskirk@ecusd7.org

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

9-22 & 9-23 4.1 Sine and Cosine Graphs p. 138-149

9-24 4.2 Horizontal and Vertical Translations p. 154-162

9-25 Quiz 4.1-4.2

4.3 Graphs of Other Circular Functions p. 166-177

9-26 4.3 Continued(Secant & Cosecant cont’d)

p. 166-177

9-29 4.3 Continued(Tangent & Cotangent)

p. 166-177

9-30 Work Day/Project Day/Review

10-1 Work Day/Project Day/Review &

Date Section Pre-Read

9-22 & 9-23 4.1 Sine and Cosine Graphs p. 138-149

Chapter 4 Review

10-2 Chapter 4 Review &Chapter 4 Test - partial (25-30 minutes)

10-3 Chapter 4 Test- completion(20-25 minutes)

Chapter 5Trigonometric Identities

TentativeDate Section Pre-

ReadAssignment

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/DifferenceIdentities - 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

10-20Quiz 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

10-23Chapter 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

10-24Chapter 5 Test

*Chapter 5 Journal topics will be distributed at the beginning of 2nd QtrChapter 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 6.1-6.311/5 6.4 Inverse Trig. Equations p. 268-271 p. 272-274: 5-19 odd, 23-45 odd

If you will not be in 6 th 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 JournalsComplete 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).  If your electronic attachment has "techinical difficulties,"  a grade of zero will be earned - no excuses.  My email is avanbuskirk@ecusd7.org

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 7Date 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 oddWorksheet 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 TodayQ & A Session in class

11-17 Quiz 7.1-7.311-18 7.4 Vectors and Dot

Productp. 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 8Date 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: 1-22Day 2

12-12

Quiz 8.5

12-1512-16

Final Exam Review

Final Exam Schedule for 5th & 6th Hours5th Hour – Thurs., Dec. 18th – Study period and Final Exam

6th Hour – Fri., Dec. 19th – Study period and Final Exam

PAST (2014)Syllabi for PreCalc 3rd Qtr/4th

QTr.Chapter 1: Functions and GraphsTentative

DateSection Pre-Read Assignment

1.1 Modeling p. 61-73 p. 74-77: 1-18, 23-39 odd, 46, 47

1.2 Functions and their Properties

Day 1 p. 78-89

Day 2 p. 89-95

p. 96-97: 1-11 odd, 13-18, 19-41 odd

p. 96-98: 43-51 odd, 55-61 odd

1.3 Ten Basic Functions p. 99-104 p. 105-107: 1-10, 11-35 odd, 41, 45, 46

1.1-1.3 Review1.4 Building Functions Day 1 p. 107-112 Quiz 1.1-1.3

p. 122-123: 1-201.4 Building Functions-cont’d

Day 2 p. 113-122 p. 123-124: 21-37 odd, 39-42, 43-57 odd

1.5 Graphical Transformations

p. 125-132 p. 133-135: 3-45 every 3rd , and 47 problem

1.6 Modeling p. 135-143 p. 144-147: 3-36 every 3rd problem

Chapter 1 Review p. 150-152: 1-10, 11-63 odd, 67Journals Due

Chapter 1 Test

Chapter 1 Journals:Page 75: #19-22.

Page 97: #54

Chapter 2 - PolynomialsTentaTive

DateSection

Pre-Read Assignment

1-27&

1-28

2.1 Linear and Quadratic Modeling

Day 1 p. 155-162

Day 2 p. 162-169

p. 169-172: 1-6, 7-11 odd, 41-44, 45, 47, 49, 61

p. 169-173: 13-18, 19-39 odd, 51, 53, 57

1-29 2.2 Power Functions p. 175-183 p. 184-186: 1-49 odd, 51-56

1-30 Quiz 2.1-2.22-2&

2-3

2.3 Higher Degree Polynomial Functions

Day 1 p. 186-193

Day 2 p. 193-195

p. 196-199: 1-55 odd

p. 197-198: 57-65 odd

2-4&

2-5

2.4 Real Zeros Day 1 p. 199-209

Day 2

p. 208-209: 1-29 odd

p. 209: 31-59 odd

2-6 2.1-2.4 Review p. 253-256: 1-15 odd, 17-24, 25-37 odd, 49-52, 87-89Journals Due

2-9 Test 2.1-2.4

2-10 2.6 Complex Zeros p. 220-224 p. 225-227: 1-11 odd, 13-16, 17-37 odd, 45

2-11&

2-12

2.7 Rational Functions

Day 1 p. 227-231

Day 2 p. 231-235

p. 236: 1-15 odd, 17-20, 25-33 odd, 37- 42

p. 237-238: 35, 43-51, 57-63 odd

2-13 Quiz 2.6-2.7(No calc.)2-18 2.8 Inequalities p. 239-245 p. 246-247: 7-9, 13-19 odds, 29-49 odd, 53,

55, 57

2-20 2.6-2.8 WORK DAY

2-23 2.5-2.8 Review p. 254-256: 47, 49-52, 53-83 odd, 93-97 odd

2-24 Test 2.6-2.8

2/25 & 2/26 2-Day

IN CLASSProject

If you are not in attendance one (or both) of these days, you will need to complete an alternate project on your own, with a possible alternate due date

Chapter 2 Journals#1: p. 186, #58#2: p. 198, #67

Chapter 3 SyllabusExponential, Logistic, Logarithmic Functions

Date Section PRE-Read

Assignment

3-23-33-4

3.1 Exponential and Logistic Functions

Day 1 p. 259-264

Day 2 p. 264-269

p. 270: 2-6, 7-23 odd, 25-30, 31-37 odd

p. 271: 41-51 odd, 55

3-5 3.2 Exponential and Logistic Modeling

p. 272-279 p. 279: 1-6, 7-31 eoo, 33, 39, 43, 45

3-6 3.3 Logarithmic Functions p. 282-291 p. 291-292: 1-39 odd, 41-44, 45-57 odd

3-9 3.4 Properties of Logarithmic Functions

p. 299-301: 1-17 odd, 19-22, 23-51 odd

3-10 5th Hour: Mrs. McBride(A308)

6th Hour: Mrs. VB5th Hour: Work Day/ Preview of Quiz

6th Hour: Work Day/ Preview of Quiz

3-11 All Juniors in Hon Pre-Calc testing in “LA” Blocks 5th & 6th Hours from 7:20-9:20am

No Assignment

3-12 5th & 6th Hours(will meet at normal times)

Quiz 3.1-3.4

3-13 3.5 Modeling Day 1 p. 302-305

p. 313: 1-15 odd, 21-26, 27-35 odd

& 3-16 Day 2 p.

305-312

p. 313-315: 17-20, 37-43 odd, 59-63 odd

Omitted until further notice

3.6 Finance p. 315-323 p. 324-325: 1-53 eoo, 61

3-17 Chapter 3 Review Journal Due Todayp. 331-334: 1-57 odd, 61-75 odd, 79, 81, 87, 89, 93, 95

3-18 Chapter 3 Test Last Test of 3rd Qtr.

Journal: p. 280: #36

Chapter 8 - Analytic GeometryDate Section Pre-

ReadAssignment

3-19 8.1 Conics p. 603-607 p. 611-612 : 1, 5, 7-10,11-35 eoo, 45, 47, 55

3-20 8.2 Ellipses p. 614-622 p. 622-623: 3-36 every 3rd problem, 41, 43, 45

3-23 8.3 Hyperbolas p. 624-629 p. 632-633: 1, 5, 7-10, 11-35 eoo, 41-45 odd

3-24 Quiz 8.1-8.33-25 Supplememtal

Conic Discussion:Latus rectum,eccentricity,degenerate conics

Worksheet

p. 641 13-22 all

3-26 Chapter 8 Review p. 664-665: 1-47 odd (except 29)

3-27 Chapter 8 Test

Chapter 9 - Sequences and SeriesSection Pre-Read Assignment

9.4 Sequences and Series

Day 1 p. 696-701

Day 2 p. 701-708

p. 708-709: 1-25 odd, 59

p. 709: 27-57 odd, 63

Quiz 9.4 – Take Home (on

Day 2)

Don’t forget … you will be taking the first part of your 2nd semester final exam after we finish Chapter 9. You will be given a guideline for this part of the final a few days prior to the exam date.

You are allowed 1 sheet of notes for the final (single-sided) – must be handwritten in your own writing – no photocopies. You will be allowed a graphing calculator.

Date

4-8 Review Day for Partial Final

4-9 *Partial Final Exam*After this final, you will be assigned a new text book for the remainder of 4th Qtr. Please make sure

you are ready to return your current Pre-Calculus book this day.

CHAPTER 1 - THE DERIVATIVE

Honors PreCalculusText: Brief Calculus and it Applications

Date Section Pre-Read

Assignment

4-10 1.1 Slope of a Line p. 70-80 p. 81-83 1-25 odd, 35-53 odd

4-13 1.2 Slope of a Curve p. 83-86 p. 86-88: 1-27 odd, 35, 37, 39

4-14 1.3 The Derivative p. 89-97 p. 98-99: 1-45 eoo, 47, 51, 57, 67, 69

4-15 1.4 Limits p. 101-109 p. 109-110: 1-6, 9-37 eoo, 41-55 odd

4-16 1.5 Differentiability and Continuity

p. 111-115 p. 115-116: 1-25 odd

4-17 Quiz1.2-1.5

4-20 1.6 Rules of Differentiation

p. 116-120 p. 121: 1-43 odd, 47-55 odd

4-21 1.7 More About Derivatives

p. 123-126 p. 126-127: 1-33 odd

4-224-23

1.8 Rate of Change p. 128-134 Day 1 p. 135-136: 1-15 odd

Day 2 p. 136-138: 17-33 odd

4-24 & 4-27

Chapter 1 Review p. 140: 15-63 eoo, 65, 67, 69-81 odd

4-27Or

4-28 (w-sub in 5th hour)

Chapter 1

TestDate Section Read Assignment

4/30 2.1 Graphs of Functions

p. 144- 151

p.152-155: 1-4, 11-21 odd, 23-43 eoo

5/1 2.2 First and Second Derivatives

p. 156-161 p. 162-165: 1-4, 7-43 eoo

5/4 Quiz 2.1-2.25/5 2.3 Curve

Sketchingp. 166-171 p. 171-173: 3, 5, 9, 13, 15, 17, 23,

27, 29, 33, 37

5/6 2.4 More Curve Sketching

p. 173-178 p. 178-179: 4, 16, 20, 26, 34

5/7 2.5 Optimization Problems

p. 180-186 p. 187-188 3-17 odd, 21

5/8 Chapter 2 Review p. 209-212: 1, 2, 7-12, 13-21 odd, 29, 33, 39, 41, 43, 47, 49, 55, 57, 58, 59

5/11 Chapter 2 *Test *This will be the last test of the quarter.

Honors PreCalculusChapter 3/4 Syllabus

Techniques of Differentiation&

Exponential and Natural Logarithm FunctionsDate Section PRE-Read Assignment

5-12 3.1 Product and Quotient Rule p. 215-219 p. 219-220: 1-41 eoo, 495-13 3.2 Chain Rule p. 222-225 p. 226-227: 1-41 eoo, 435-14 3.3 Implicit Differentiation p. 228-235 p. 235: 1-35 odd5-15 Work Day/Review on 3.1-3.3 3.1-3.3 Worksheet

5-18 4.3 Differentiation of Exponential Functions

p. 254-255 p. 255-256: 1-25 eoo

5-19 4.5 Derivative of ln x p. 262-264 p. 264-265: 1-21 eoo5-20 Chapter 3/4 Quiz5-21 Final Exam Review Final Exam Info TBA:5-26

(5th hour)&

5-27(6th Hour)

Final Exam

Have a great …