Trigonometry (Precalculus) for 12th grade

Teacher: Anais
Customers Who Have Viewed This Course: 1053
$150.00

Course Introduction

0 Course Introduction 02:34


1 Lesson 1: Angles & their measure: the degree measure 11:16

2 Lesson 1 : Worksheet review 04:42

3 Lesson 2: Coterminal, complementary and supplementary angles 22:20

4 Lesson 2: Worksheet review 13:08

5 Lesson 3: Radian measure 11:09

6 Lesson 3: Worksheet review 06:21

7 Lesson 4: Arc length, angular speed 07:48

8 Lesson 4: Worksheet review 04:13

9 Lesson 5: Linear speed, area of a sector 11:17

10 Lesson 5: Worksheet review 03:37

11 Lesson 6: Trigonometric functions and right angle trigonometry 20:26

12 Lesson 6: Worksheet review 07:45

13 Lesson 7: The six trigonometric functions 17:17

14 Lesson 7: Worksheet review 07:16

15 Lesson 8: Trigonometric functions and the unit circle 21:27

16 Lesson 8: Worksheet review 17:27

17 Lesson 9: Representations of the trigonometric functions 25:28

18 Lesson 9: Worksheet review 14:02

19 Lesson 10: Simple harmonic motion 30:57

20 Lesson 10: Worksheet review 18:06

21 Lesson 11: Sinusoidal model 23:09

22 Lesson 11: Worksheet review 11:29

23 Lesson 12: Inverse trigonometric functions 23:55

24 Lesson 12: Worksheet review 03:11

25 Lesson 13: The tangent function 21:09

26 Lesson 13: Worksheet review 09:11

27 Lesson 14: Other trigonometric inverse functions 15:01

28 Lesson 14: Worksheet review 03:31

29 Lesson 15: Reciprocal and quotient identities, Pythagorean identities 18:44

30 Lesson 15: Worksheet review 09:35

31 Lesson 16: Signs of trigonometric functions 22:00

32 Lesson 16: Worksheet review 16:50

33 Lesson 17: Simplifying trigonometric expressions 08:00

34 Lesson 17: Worksheet review 08:59

35 Lesson 18: Verifying trigonometric identities 12:08

36 Lesson 18: Worksheet review 07:10

37 Lesson 19: Reference angles 17:44

38 Lesson 19: Worksheet review 05:56

39 Lesson 20: Basic and inverse trigonometric equations 13:16

40 Lesson 20: Worksheet review 09:30

41 Lesson 21: Trigonometric equations 14:52

42 Lesson 21: Worksheet review 26:37

43 Lesson 22: Sum, difference and cofunction identities 14:34

44 Lesson 22: Worksheet review 08:06

45 Lesson 23: Sum and difference identities for Sine and Tangent 20:26

46 Lesson 23: Worksheet review 20:30

47 Lesson 24: Double angle and power reducing identities 18:08

48 Lesson 24: Worksheet review 09:59

49 Lesson 25: Half angle identities, solving equations 19:46

50 Lesson 25: Worksheet review 08:50

51 Lesson 26: Product to sum and sum to product identities 10:09

52 Lesson 26: Worksheet review 06:45

53 Lesson 27: Oblique triangles and the law of sines 19:03

54 Lesson 27: Worksheet review 14:31

55 Lesson 28: The ambiguous case SSA 24:42

56 Lesson 28 : Worksheet review 13:20

57 Lesson 29: Law of cosines 13:36

58 Lesson 29: Worksheet review 13:03

59 Lesson 30: Area formula 06:43

60 Lesson 30: Worksheet review 04:34

Course Overview:

This “precalculus for 12th grade” video course goes into the details of the main concepts in trigonometry, as part of the precalculus curriculum. The course is designed to be completed in an average of three months. The emphasis on only the trigonometry part of the common precalculus curriculum aims to provide a solid basis in that particular area which will help develop the critical thinking skills required to study and master higher level mathematics in general.

This course includes:

  • 30 video lessons
  • 30 worksheets
  • 30 worksheet review videos (where the solutions to the problems in the worksheets are explained step by step)
  • 30 Online Quizzes
  • Over 60 practice problems
  • A Quiz answer key
  • Over 11 hours of video lessons/ worksheet review videos

 

Course Goals:

Upon course completion, students will be able to:

  • Find the measure of an angle in degrees or radians
  • Define and use the six trigonometric functions
  • Identify the different types of sinusoidal models
  • Define and use the inverse trigonometric functions
  • Derive and use the different trigonometric identities
  • Solve trigonometric equations
  • Solve triangles

 

Course Requirements:

Students taking this course will need to have completed Algebra for 11th grade

Course Topics:

  • Angles and their measure: the degree and radian measure
  • Coterminal, complementary and supplementary angles
  • Arc length, angular speed, linear speed, area of a sector
  • Basic concepts about trigonometric functions and right angle trigonometry
  • The six trigonometric functions: Sine, Cosine, tangent, secant, cosecant, cotangent
  • Trigonometric functions and the unit circle
  • Representations of the trigonometric functions
  • Simple harmonic motion
  • Sinusoidal model
  • Inverse trigonometric functions
  • Reciprocal and Pythagorean identities
  • Quadrants and signs of trigonometric functions 
  • Negative angle identities
  • Simplifying trigonometric expressions
  • Verifying trigonometric identities
  • Reference angles
  • Basic trigonometric equations, inverse trigonometric equations
  • Trigonometric equations
  • Sum and difference identities for sine, cosine and tangent
  • Cofunction identities
  • Double angle and power reducing identities
  • Half angle identities, solving equations
  • Product to sum and sum to product identities
  • Oblique triangles
  • Law of sines
  • Law of cosines
  • Area formulas, Heron's formula
  • Teacher: Anais
  • Areas of expertise: Mathematics.
  • Education: MS Applied mathematics, Columbia University
  • Interests: Reading, Hiking, Mathematics.
  • Skills: French, Math Curriculum Development
  • Associations: Columbia University Alumni Association, MS Applied Mathematics
  • Issues I care about: Education

My objective is to really focus on the details of the material. Specially with a subject such as mathematics, memorizing formulas without really understanding where formulas come from and why and when they should be applied will eventually become an obstacle in the path of students.

Quizzes answer key.

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