Mr. Meinzen - Trigonometry

"Success is the ability to go from one failure to another with no loss of enthusiasm." Winston Churchill

1st Quarter

Day

Date

Section & Lecture Notes

Assignment

   

 

Course Handout & Policy

 

Intro to Course - DANG!

 

Note1: Complete even and odd Exercise problems listed unless specified otherwise.  [i.e. "odd only"]

Note2: Points for assessments are approximate. Modifications should be expected to adapt to classroom circumstances.

1

Week 1

13Aug

Algebra Review

Each assignment to be turned in must include:

  1. Your Full Name
  2. Assignment Title (as listed in this column)
  3. Date, Course Name. and Hour

2

 

Geometry Review

Special Right Triangles

 

worksheet

3

 

1st Quadrant & Quadrantal Angles

Special Right Triangle & Basic Trigonometry for 1st Quadrant & Quadrantal Angles

worksheet

 

4

 

Review: Coordinate plane – distance formula - interval notation – relations- functions - domain – range

 

BT Quiz 1 [25pts]

5

Week 2

19Aug

1.1 Angles:

Degree measure

Standard position

Complement/supplement <’s

Coterminal/quadrantal <’s

34 problems
p.7: 15, 21, 23-26 all, 29, 31, 33, 37, 39, 43, 49, 51, 55, 57, 63, 67, 69, 75, 77, 81, 87, 89, 97, 103, 11, 113, 117, 123, 125, 127

6

 

1.2 Angle Relationships and Similar Triangles:

Vertical <’s

<’s formed by parallel lines & transversal

types of triangles

similar triangles

 

22 problems
p.15: 11, 15, 19, 21, 23, 27, 29, 21, 33, 35, 37, 41, 47, 49, 53, 57, 59, 61, 63, 65, 67, 69

7

 

1.3 Trigonometric Functions:

Define trig functions

find the 6 function values

values of quadrantal <’s

 

Worksheet

19 problems
p.27: 11-19 odd, 25, 29, 51, 53, 57, 59, 67, 71, 75, 81, 85, 89, 93, 109

8

 

1.4 Using the Trig Definitions:

Reciprocal identities

Signs and ranges of functions

Pythagorean identities

Quotient identities

Quiz 1.1-1.3 [50 pts]

21 problems
p.37: 11-21 odd, 25, 29, 33, 35, 37, 43, 45, 47, 49, 53-63 odd

9

 

1.4

BT (Unit Circle) Quiz 2 [20pts]

14 problems
p. 31: 65-83 odd

10

Week 3

26Aug

Review

Review Worksheet

11

 

 

 

Test Chapter 1 [100 pts]

 

12

 

2.1 Trigonometric Functions of Acute Angles:

Cofunctions & identities

Values of special angles [30, 45, 60]

 

Homework Quiz [Ch 1]

31 problems
p. 53: 1-6 all, 7-15 odd, 21, 23, 26, 28, 29, 35, 37, 39, 49, 50, 52, 53, 55, 61, 67, 69, 73, 75

13

 

2.2 Trigonometric Functions of Non-Acute Angles: Reference angles

Special angles as reference angles

 

26 problems
p. 61: 5-10 all, 15, 17, 24, 25, 29, 35, 37, 39, 43, 45, 49, 61-73 odd, 77, 81

14

 

2.3 Finding Trigonometric Functions Values Using a Calculator:

Approximate function values on a calculator

Find angle measure on a calculator

 

25 problems
p. 66: 11-41odd, 45, 47, 49, 63, 65, 67, 69, 71, 73

 

Week 4

2Sep

No School

   

15

 

2.1-2.3 Review

 

2.1-2.3 Worksheet

 

16

 

 

Group Quiz 2.1-2.3 [50 pts]

 

17

 

2.4 Solving Right Triangles:

Significant digits

Solving right triangles

<’s of elevation and depression

13 problems
p.77: 13-37 odd
OMIT: 35
ADD: 32

18

 

2.4 Continued

Discuss Project (measure group members height)

 

10 problems
p.77: 41-59 odd

19

Week 5

9Sep

Project : Finding the height of an object using a clinometer and measuring tape.

 

Worksheet

20

 

 

Quiz 2.4 [50 pts]

 

21

 

2.5 Bearing - applications

 

24 problems
p.86: 1-10 all, 15, 17, 19-30 all

22

 

2.5 continued

 

Worksheet

 

23

 

Chapter 2 Review

 

Review Worksheet IN CLASS

Homework Quiz [Ch 2]

24

Week 6

16Sep

Chapter 2 Review

 

Review Worksheet

27 problems

p.93: 1-57 odd (omit 7 & 9)

25

 

 

Test Chapter 2 [100 pts]

 

26

 

3.1 Radian Measure:

Define radian measure

Converting: radian <-> degree

24 problems
p. 104: 11, 15, 17, 19, 23, 29, 33, 37, 39, 41, 47, 53, 55, 59, 63, 67-75 odd, 79-83 odd, 87

27

 

3.2 Applications of Radian Measure :

Arc length

Sectors

 

20 problems
p109: 3, 6, 7-19 odd, 24, 25, 29, 33, 35, 37, 47, 51, 55, 56, 61

28

 

3.3 Circular Functions:

Circular functions & values

22 problems
p123: 17, 19, 21, 22, 23, 29, 33, 35, 37, 41, 43, 61-67 all, 69-73 odd, 92 a,e, & f


29

Week 7

23Sep

3.1 – 3.3 Review

EC Quiz

Worksheet 3.1-3.3

30

 

3.4 Linear and Angular Velocities: applications

 

QUIZ 3.1–3.3 [50 pts]

11 problems
p. 130: 3, 12, 13, 16, 20, 21, 23, 26, 27, 29, 31

31

 

3.4 continued

 

11 problems
p.130: 33-37 all, 39, 41, 43, 47, 48, 49

32

 

Chapter 3 Review

 

33 problems
p.135-137: 1-65 odd

33

 

 

Test Chapter 3 [100 pts]

34

Week 8

30Sep

4.1 - Graphs of the Sine and Cosine Functions:

Sin/Cos graph, Amplitude, Period

5-Point Plan - introduction

 

Homework Quiz [Ch 3]

26 problems
p.148: 7-12 all, 13-35 odd (OMIT #21), 41-45 odd, 47, 48, 49-52 all

35

 

Graphing Theorem:

5-Point Plan - details,

Summarize graphing theorem after worksheet

 

Quiz 4.1 [50 pts]

 

Worksheet & 3 problems

p. 150: 42-46 even

36

 

4.2 Translations of the Graphs of the Sine Cosine Functions:

Horizontal and vertical translation

Combinations of translations

Determining a trigonometric using curve fitting

 

27 problems : DO NOT GRAPH, instead DETERMINE the following values/features for :

amp, per, inc, PS, PS/inc, VS, Flip, Max, Min

p.159: 9-16 all, 25-28 all, 29-57 odd

37

 

4.2 Graphs of sine and cosine functions

 

5 problems to GRAPH
p.159: 37, 41, 43, 57, 59

 

Graphing Theorem Quiz #1 [25 pts]

 

No School

 

Teacher Institute

 

38

Week 9

7Oct

4.1-4.2 Review

 

Worksheet

Quarter Project : temperature sinusoidal regression [50 pts as test grade]

39

 

4.3 Graphs of the Other Circular Functions: Introduction of tangent, cotangent, secant, and cosecant functions

 

Quiz 4.1-4.2 [50 pts] (Last Grade of 1st Qtr)

 

15 problems : DO NOT GRAPH, instead DETERMINE the following values/features for :

amp, per, inc, PS, PS/inc, VS, Flip, Max, Min
p.171: 7-12 all, 25-28 all, 31-37 odd, 38

40

 

4.3 Graphs of tangent and cotantent functions

5 problems to GRAPH

p.171: 25, 27, 31, 35, 38

 

41

 

4.4 Graphs of secant and cosecant functions

Graphing Theorem Quiz #2 [25 pts on 2nd Quarter]

 

18 problems : DO NOT GRAPH, instead DETERMINE the following values/features for :

amp, per, inc, PS, PS/inc, VS, Flip, Max, Min
p.179: 1-10 all, 11, 15, 16, 17, 19, 21, 22, 23

 

11Oct

No School

End of 1st Qtr

 

 

2nd Quarter

Day

Date

Section

Assignment

 

Week 10

14Oct

No School

   

1

 

4.4 (graph)

 

2

 

4.1-4.4 Review

Homework Quiz [Ch 4]

Worksheet : Review

19 problems

p.190: 5-41 odd

3

   

Test Chapter 4 [100 pts on 2nd Quarter]

4

 

5.1 Fundamental Identities:

Review of basic identities

Negative angle identities

Fundamental identities

31 problems
p.199: 1-10 all, 11-21 odd, 31-37 odd, 39-43 all, 53-73 eeo [every other odd]

5

Week 11

21Oct

5.2 Verifying Trigonometric Identities:

Simplifying and Factoring Trig Expressions

Writing Expressions as a Single Circular Function

27 problems
p.208: 5-10 all, 11-29 odd, 33-44 all

6

 

5.1-5.2 Review

Worksheet : Review

7

 

5.3 Sum and Difference Identities for Cosine:

Difference and sum identity for cosine

Cofunction identities

Applying the difference & sum identities

QUIZ 5.1–5.2 [50 pts]

18 problems
p.218: 9-33 eeo, 35. 39, 41, 45, 47, 53-63 odd

 

No School

P/T Conferences

 

8

Week 12

28Oct

5.4 Sum and Difference Identities for Sine and Tangent:

Sum and difference identities for sine and tangent

Applying the sum & difference identities

problems
p.226: 5-8 all, 9, 12, 13-45 eeo, 51 (a,b), 55 (a,b)

9

 

5.3-5.4 Review

 

p.218: 11-31 eeo, 38, 42, 51, 62, 64

p.226: 10, 15-47 eeo, 53

10

 

 

Quiz 5.3-5.4 [50 pts]

11

 

5.1-5.4 Review

 

Worksheet

Homework Quiz [Ch 5.1-5.4]

12

 

 

Test Chapter 5.1-5.4 [100 pts]

 

13

Week 13

4Nov

5.5 Double-Angle Identities :

Double-angle identities

Verifying identities with double angles

Applying double-angle identities

 

problems
p.236: 1-6 all, 7-15 odd, 37-47 odd

 

14

 

5.6 Half-Angle Identities:

Half-angle identities

Applying half-angle identities

problems
p.241: 1-43 odd (omit 17 and 31)

15

 

5.5-5.6 Review

worksheet

16

 

 

QUIZ 5.5–5.6 [50 pts]

17

 

Review 5.1-5.6

 

p.201: 32-38 even, 54, 60, 64, 70,74, 80

p.208: 16-20 even, 26-32 even

p.218: 16,18, 34-42 even, 52-56 even

p.227: 26-32 even, 52-56 even

p.236: 10-16 even, 28, 40-46 even, 58-62 even

p.241: 22-30 even, 34, 36, 38

 

Week 14

11Nov

No School

Veteran's Day

 
 

No School

SNOW DAY

 

18

 

 

Group EC Quiz 5.1-5.6 [40 pts]

19

 

 

Review

Homework Quiz [Ch 5]

Worksheet

p.248: 1-41 odd

20

 

 

Test Chapter 5 [100 pts]

21

Week 15

18Nov

6.1 Inverse Trigonometric Functions:

Review of inverse function concepts

Inverse sine, cosine and tangent fcn

Other inverse fcns & values

Expressions involving func values

16 problems
p.263: 15, 21, 22, 23, 25, 28, 29, 32, 35, 37, 38, 42, 43, 46, 47, 48

22

 

6.1 continued

18 problems

p.263: 49, 53, 55, 57, 59, 61, 63, 65, 67, 75, 76, 79, 81, 85, 87, 89, 95, 97

 

23

 

6.2 Trigonometric Equations I:

Equations solvable by linear methods

Equations solvable by factoring

Equations solvable by the quadratic formula

QUIZ 6.1 [30 pts]

 

For sections 6.2-6.3, disregard the book directions and use the following directions for all problems:

Solve each equation in x for exact solutions over the interval [0, 2π) and each equation in θ for exact solutions over the interval [0°, 360°). Give solutions to the nearest tenth as appropriate.

 

13 problems
p.272: 15-27 odd, 36, 51, 57, 35, 37, 56 (in that order)

24

 

6.2 continued

9 problems
p.272: 29, 31, 33, 38, 60, 39, 41, 43, 46 (in that order)

25

 

6.3 Trigonometric
Equations II
:

Equations with half-angles

Equations with multiple angles

10 problems
p.279: 17, 18, 19, 21, 23, 24, 25, 31, 37, 39 (in that order)

26

Week 16

25Nov

6.3 continued

11 problems
p.279: 22, 26, 27, 28, 33, 41, 47, 49, 34, 48, 53, 54 (in that order)

27

 

6.4 Equations Involving Inverse Trigonometric Functions:

Solve for x in terms of y using inverse functions

Solving inverse trigonometric equations

15 problems
p.285: 1-6, 7, 9, 13, 15, 21, 29, 33, 37, 39

 

No School

Thanksgiving Break

 

28

Week 17

2Dec

6.1-6.4 Review

Worksheet

Homework Quiz [Ch 6]

29

 

6.1-6.4 Review

GROUP QUIZ 6.1-6.4 [75 pts]

30

 

6.1-6.4 Review

Worksheet

p. 291 1-61 odd

31

 

 

 

Test Chapter 6 [100 pts]

32

 

7.1 – Oblique Triangles and
Law of Sines
:

Congruency and oblique triangles

Law of sines

Solving SAA or ASA triangles [case 1]

Area of a triangle

14 problems
p.301: 13,15, 17, 21, 25, 33, 36, 37, 40, 41, 47, 51, 52, 55

33

Week 18

9Dec

7.2 - Ambiguous Case of the Law of Sines:

Solving SSA triangles [case 2]

Analyzing data for possible number of triangles

13 problems
p.310: 5, 7, 9, 13, 15, 17, 19, 23, 25, 27, 29, 35, 36

34

 

7.2 continued

 

Worksheet

 

35

 

7.3 – Law of Cosines:

Solving SAS triangles [case 3]

Solving SSS triangles [case 4]

Heron’s formula

QUIZ 7.1-7.2 [50 pts]

Worksheet 7.1-7.3

2 problems
p.319: 17, 18

36

 

7.3 continued

 

11 problems
p. 319: 23-33 odd, 41-45 odd, 65, 67

37

 

7.1-7.3 review

 

Worksheet Review 7.1-7.3

Homework Quiz [Ch 7]

38

Week 19

16Dec

 

Test Chapter 7 [100 pts]

 

39

 

Finals Review

 

40

 

Finals

 

41

 

Finals

 

42

20Dec

End of 2nd Qtr

End of 1st Sem

Finals

 

 

 

 

 

Classroom Policy

Text & Resource Requirements

  • Trigonometry, 11th Ed., 2017
  • Lial, Hornsby, Schneider, Daniels
  • ISBN: 978-0-13-421743-7
  • Graphing calculator such as a TI-83 or TI-84 (any version).

  • Notebook(s) for notes and homework. Each homework problem must include -

    1. copy of the original problem,

    2. copy of correct solution [often from back of textbook], and

    3. include steps that connect the problem with the solution (with explanation/justification as appropriate).

Grading

  • Semester Scores are calculated using the following table:
Semester Score Component Weight
3rd Quarter Score 40%
4th Quarter Score 40%
Semester Final Exam 20%
  • Quarter Scores will be calculated on a category weight basis. Each assessment will fall under one of 3 categories.
Category Weight (approximate)
Daily Work 20%
Quizzes 30%
Tests 50%
  • Notes:
    • Late assignments will given a score of zero (0)...except for unplanned excused absences which will be scored as specified in the student handbook.
    • Scores will NOT be rounded up.
    • Bonus work or bonus points are NOT part of the course score and will be included ONLY at the discretion of the teacher.
    • Students should not EXPECT bonus points or bonus work...even if it is listed on the syllabus.
    • Scores will be primarily based on individual ability, understanding, and accomplishment.
  • Quarter and Semester GRADES will be calculated from corresponding scores based on the following table:
Percentage Scale Grade Letter
100% - 88% A
87.99% - 76% B
75.99% - 66% C
65.99% - 56% D
55.99% - 1% F
0.99% - 0% Incomplete

BYOD Policy :

  • Phones and/or uncovered cameras are NOT allowed in the classroom.
    • Students who intentionally or unintentionally compromise the privacy of any other student or compromise academic integrity or validity of a test or quiz by their behavior will receive a zero and, possibly, a referral for further consequences. This includes having a camera (i.e. smartphone/BYOD device) out while ANY assessment is in the classroom.
    • For example, a student who turns in their test and then takes out their smartphone (i.e. camera) to listen to music while other students are still working on their tests will receive a zero on their test. As well, a student taking pictures of teacher's notes on the board will not retain/learn of concepts and may be invading the privacy of other students (white boards are highly reflective). Generally, if the teacher is taking the time to hand-write notes on the board, then students should put in the effort to copy the notes.

Responsibilities & Expectations

Advice from previous year's students to future students

  • Answers to: If you could start the course over again, what advice would you give yourself?

    1. Plan on doing ALL homework.
  • Answers to: What was your favorite part of the course?

    1. None ;)
  • Answers to: What was the hardest/least favorite part of the course?

    1. Doing all the homework.
  • Student Responsibilities...
    • ...while in class:
      • In Seat & Ready to Go when bell stops (i.e. books, sharpened pencils, paper)
      • Respectful of Teacher and each other (i.e. raise your hand, don’t talk while teacher is talking, no rudeness or bad language, etc.)
      • The two most important ingredients for success in this class are practice and attendance.
      • No eating or drinking in class, 2 bathroom/drinking trips per Semester.
      • Remember that, for every hour spent in class, 2 hours of outside class work (homework/projects) are typical for an AP course (i.e. 5 hours in class per week + 10 hours at home)
    • ...while absent:
      • Read the textbook and look at examples prior to returning.
      • Obtain the assignment from the calendar, webpage, or a peer.
      • Do the assignment or, at a minimum, have the homework problem written out along with answers (from back of book or peer).
      • Obtain notes from a peer or teacher.
      • Arrange to come in before or after school for assistance from the teacher.
      • Grades will be as per school policy (see student handbook):
        • for excused absences, you have the same number of days as you were absent to make up missing assignments/quizzes/tests.
        • for unexecused absences, you will receive 80% or 50% of the earned grade based on the number of unexcused absences.
        • any assignment/quiz/test not made up in the appropriate amount of time will be a zero.
  • Teacher Responsibilities...
    • Demonstrate mastery of mathematical content & educational pedagogy, professional and courteous behavior, and provide a timely & updated syllabus.
    • Maintain a classroom atmosphere that is safe and conducive to the education of ALL students.
    • Maintain discipline by ensuring students are respectful to each other and their teacher. Refer to the student handbook for any questions.
    • If problems occur in the class, the discipline plan, in general, is:
      • Verbal warning (may include "1 minute after class delayed dismissal" or "15 minute after school mini-detention")
      • After school detention & parents/guardians contacted (called or e-mailed)
      • Referral to the administrator
    • Be available before and after school [unless a meeting is scheduled] in the classroom or in the math office (Room A310) for extra help. However, a student often needs to schedule time to meet outside of the normal class period.
    • I can be reached at jmeinzen@ecusd7.org
    • As well, I strongly encourage students and parents to contact me as soon as possible if there are any questions or concerns. Most issues can be quickly resolved through timely communication.
  • Parent Responsibilities...
    • Keep track of your child's progress (grade) on a regular basis.
    • Ask your child to SHOW you his/her homework completion on a weekly basis!
      • you do NOT have to understand the homework!
      • you do NOT have to help with the homework!
      • you DO have to verify your child is completing the homework!
    • Contact the teacher when you have any concerns as soon as possible.

Survey Assignment

  • What is your best learning environment (given the classroom we have)?
  • What learning/teaching style do you think is most effective for you?
  • What resources do you use to best understand the concepts? (examples: textbook, teacher, family, after-school tutoring, specific website, etc.)?
  • What do you not want your teacher to do that would make you not want to learn this material?
  • If you could start a realistic classroom tradition, what would it be? (example: every odd-numbered Friday is popcorn-during-lecture day)

Signature

  • In general, I provide daily information on this website and I contact parents/guardians/students via the email address that is registered with the district. However, please let me know if you wish to be contacted by other means on this form. After you have read over this classroom policy, please sign below, and return to me to be put on file. This is your first assignment.
I prefer to be contacted via (circle preference): EMAIL, or PHONE, or OTHER (specify)
Print Parent/Guardian Name   Print Student Name  
Parent / Guardian Signature Date Student Signature Date
email address home phone work/cell phone

Course Resources