CCSS High School: Functions (Trigonometric Functions)

Tim Brzezinski, Jamie Zeller, 17.08.2017

[b][color=#1551b5]This GeoGebra Book contains discovery-based learning activities, investigations, and meaningful remediation worksheets that were designed to help enhance students' learning of concepts related to trigonometric functions. [/color] [/b]

Inhaltsverzeichnis

  1. HSF.TF.A.1
    1. 1 Radian: Clear Definition
    2. Animation 69
    3. Movie: Radians to Revs
  2. HSF.TF.A.2
    1. Angles in Standard Position
    2. Animation 176
    3. Angle Orientations (Standard Position)
    4. Animation 180
    5. Animation 181
    6. Coterminal Angles Action!!!
    7. Animation 183
    8. Coterminal Angles: Question Generator
    9. Defining Trigonometric Ratios
    10. Unit Circle and Sine Graph
    11. Unit Circle and Tangent Graph
    12. Unit Circle and Cosine Graph
  3. HSF.TF.A.3
    1. Trig Function Values (30 Degrees)
    2. Animation 148
    3. Trig Function Values (45 Degrees)
    4. Animation 146
    5. Trig Function Values (60 Degrees)
    6. Animation 147
    7. Special Angles in Standard Position: Intro (V2)
    8. Special Angles in Standard Position: Intro (V1)
    9. Animation 177
    10. Animation 178
    11. Special Angles in Standard Position: Intro (V3)
    12. Animation 182
    13. Quiz 1: Trigonometric Functions of Special Angles
    14. Quiz 2: Trigonometric Functions of Special Angles
  4. HSF.TF.A.4
    1. Sine and Cosecant Functions (Special Property)
    2. Sine Identity
    3. Animation 150
    4. Cosine and Secant Functions (Special Property)
    5. Cosine Identity
    6. Animation 149
    7. Tangent and Cotangent Functions (Special Property)
    8. Animation 145
    9. Tangent Identity
    10. Animation 151
  5. HSF.TF.B.5
    1. Sine & Cosine Period Action (1)!
    2. Animation 190
    3. Animation 191
    4. Sine & Cosine Period Action (2)!
    5. Tangent Period Action (1)!
    6. Tangent Period Action (2)!
    7. Animation 192
    8. Graphing Sine & Cosine Functions (II)
    9. Graphing Sine & Cosine Functions (I)
    10. Transformations of a Sinusoid
    11. Graph y = a cos(x) + d (Quiz)
    12. Graph y = a sin(x) + d (Quiz)
    13. Sine Function Modeling (y = a sin(x) + d) Quiz
    14. Sine & Cosine Function Modeling: Finding Correct Parameters
    15. Cosine Function Modeling (y = a cos(x) + d) Quiz
    16. Ferris Wheel Action!!!
  6. HSF.TF.B.6
    1. Inverse Relations: Graphs
    2. Sine Function Domain Restriction Options?
    3. Cosine Function Domain Restriction Options?
    4. Tangent Function Domain Restriction Options?
  7. HSF.TF.B.7
    1. Ferris Wheel (1): Modeling with Trigonometric Functions
    2. Ferris Wheel (2): Modeling with Trigonometric Functions
  8. HSF.TF.C.8
    1. Pythagorean Trigonometric Identity (1)
    2. Trig ID Movie (II)
    3. Trig ID Movie (III)
  9. HSF.TF.C.9
    1. Sine & Cosine of a Sum: Discovery
    2. Tangent of a Sum: Discovery
    3. sin(75) & cos(75) activity
    4. Bizzare Trig Identity?
    5. Animation 105
  10. Links to Other CCSS High School: Functions Resources
    1. Functions Resources
  11. *Additional: Links to CCSS High School: Geometry Resources
    1. Geometry Resources

1.

HSF.TF.A.1

  • 1. 1 Radian: Clear Definition
  • 2. Animation 69
  • 3. Movie: Radians to Revs

1.1.

–

1.2.

–

1.3.

–

2.

HSF.TF.A.2

  • 1. Angles in Standard Position
  • 2. Animation 176
  • 3. Angle Orientations (Standard Position)
  • 4. Animation 180
  • 5. Animation 181
  • 6. Coterminal Angles Action!!!
  • 7. Animation 183
  • 8. Coterminal Angles: Question Generator
  • 9. Defining Trigonometric Ratios
  • 10. Unit Circle and Sine Graph
  • 11. Unit Circle and Tangent Graph
  • 12. Unit Circle and Cosine Graph

2.1.

–

2.2.

–

2.3.

–

2.4.

–

2.5.

–

2.6.

–

2.7.

–

2.8.

–

2.9.

–

2.10.

–

2.11.

–

2.12.

–

3.

HSF.TF.A.3

  • 1. Trig Function Values (30 Degrees)
  • 2. Animation 148
  • 3. Trig Function Values (45 Degrees)
  • 4. Animation 146
  • 5. Trig Function Values (60 Degrees)
  • 6. Animation 147
  • 7. Special Angles in Standard Position: Intro (V2)
  • 8. Special Angles in Standard Position: Intro (V1)
  • 9. Animation 177
  • 10. Animation 178
  • 11. Special Angles in Standard Position: Intro (V3)
  • 12. Animation 182
  • 13. Quiz 1: Trigonometric Functions of Special Angles
  • 14. Quiz 2: Trigonometric Functions of Special Angles

3.1.

–

3.2.

–

3.3.

–

3.4.

–

3.5.

–

3.6.

–

3.7.

–

3.8.

–

3.9.

–

3.10.

–

3.11.

–

3.12.

–

3.13.

–

3.14.

–

4.

HSF.TF.A.4

  • 1. Sine and Cosecant Functions (Special Property)
  • 2. Sine Identity
  • 3. Animation 150
  • 4. Cosine and Secant Functions (Special Property)
  • 5. Cosine Identity
  • 6. Animation 149
  • 7. Tangent and Cotangent Functions (Special Property)
  • 8. Animation 145
  • 9. Tangent Identity
  • 10. Animation 151

4.1.

–

4.2.

–

4.3.

–

4.4.

–

4.5.

–

4.6.

–

4.7.

–

4.8.

–

4.9.

–

4.10.

–

5.

HSF.TF.B.5

  • 1. Sine & Cosine Period Action (1)!
  • 2. Animation 190
  • 3. Animation 191
  • 4. Sine & Cosine Period Action (2)!
  • 5. Tangent Period Action (1)!
  • 6. Tangent Period Action (2)!
  • 7. Animation 192
  • 8. Graphing Sine & Cosine Functions (II)
  • 9. Graphing Sine & Cosine Functions (I)
  • 10. Transformations of a Sinusoid
  • 11. Graph y = a cos(x) + d (Quiz)
  • 12. Graph y = a sin(x) + d (Quiz)
  • 13. Sine Function Modeling (y = a sin(x) + d) Quiz
  • 14. Sine & Cosine Function Modeling: Finding Correct Parameters
  • 15. Cosine Function Modeling (y = a cos(x) + d) Quiz
  • 16. Ferris Wheel Action!!!

5.1.

–

5.2.

–

5.3.

–

5.4.

–

5.5.

–

5.6.

–

5.7.

–

5.8.

–

5.9.

–

5.10.

–

5.11.

–

5.12.

–

5.13.

–

5.14.

–

5.15.

–

5.16.

–

6.

HSF.TF.B.6

  • 1. Inverse Relations: Graphs
  • 2. Sine Function Domain Restriction Options?
  • 3. Cosine Function Domain Restriction Options?
  • 4. Tangent Function Domain Restriction Options?

6.1.

–

6.2.

–

6.3.

–

6.4.

–

7.

HSF.TF.B.7

  • 1. Ferris Wheel (1): Modeling with Trigonometric Functions
  • 2. Ferris Wheel (2): Modeling with Trigonometric Functions

7.1.

–

7.2.

–

8.

HSF.TF.C.8

  • 1. Pythagorean Trigonometric Identity (1)
  • 2. Trig ID Movie (II)
  • 3. Trig ID Movie (III)

8.1.

–

8.2.

–

8.3.

–

9.

HSF.TF.C.9

  • 1. Sine & Cosine of a Sum: Discovery
  • 2. Tangent of a Sum: Discovery
  • 3. sin(75) & cos(75) activity
  • 4. Bizzare Trig Identity?
  • 5. Animation 105

9.1.

–

9.2.

–

9.3.

–

9.4.

–

9.5.

–

10.

Links to Other CCSS High School: Functions Resources

  • 1. Functions Resources

10.1.

–

11.

*Additional: Links to CCSS High School: Geometry Resources

  • 1. Geometry Resources

11.1.

–

Information