## Discovering Trig Identities (Day 4 of 4), Video Narrative, Pythagorean Identities on Calc - Section 2: Investigation

*Proofs_of_Identities_Student handout modified.docx*

*Discovering Trig Identities (Day 4 of 4), Video Narrative, Pythagorean Identities on Calc*

# Discovering Trig Identities (Day 4 of 4)

Lesson 4 of 16

## Objective: Students will be able to visualize and interpret the trigonometric identities with a focus today on the pythagorean identities.

#### Closure

*10 min*

As a closure to today’s lesson have students complete the fourth page in their trig identities book with the Pythagorean identities. I ran this similar to yesterday’s lesson. I just facilitated a whole class discussion of the findings by having students raise their hands to share their answers. Then I clearly wrote out the Pythagorean identities on the board to ensure all students are copying them correctly (MP6). I personally chose to only have my students list the three standard identities and then I will expect them to be able to manipulate these to obtain the other variations of these (MP7). I know some resources list all the identities solved for each term, but I think the students should be able to do that.

Finally, I had students attempt the last question on the Flipchart (**MP1**). As in previous lessons this week, this task previews upcoming work. I plan to go over all of these preview questions from the week in tomorrow’s lesson as an introduction to solving basic trig identities.

*expand content*

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- UNIT 1: Basic Functions and Equations
- UNIT 2: Polynomial Functions and Equations
- UNIT 3: Rational Functions and Equations
- UNIT 4: Exponential Functions and Equations
- UNIT 5: Logarithmic Functions and Equations
- UNIT 6: Conic Sections
- UNIT 7: Rotations and Cyclical Functions
- UNIT 8: Cyclical Patterns and Periodic Functions
- UNIT 9: Trigonometric Equations
- UNIT 10: Matrices
- UNIT 11: Review
- UNIT 12: Fundamentals of Trigonometry

- LESSON 1: Discovering Trig Identities (Day 1 of 4)
- LESSON 2: Discovering Trig Identities (Day 2 of 4)
- LESSON 3: Discovering Trig Identities (Day 3 of 4)
- LESSON 4: Discovering Trig Identities (Day 4 of 4)
- LESSON 5: Simplifying Basic Trig Expressions – Connect the Dots
- LESSON 6: Verifying Trig Identities (Day 1 of 2)
- LESSON 7: Verifying Trig Identities (day 2 of 2)
- LESSON 8: Solving Basic Trigonometric Equations
- LESSON 9: Group Quiz - Solving Trig Equations
- LESSON 10: Solving Quadratic Trig Equations (Day 1 of 2)
- LESSON 11: Solving Quadratic Trig Equations (Day 2 of 2)
- LESSON 12: Puzzle - Solving Variety of Trig Equations
- LESSON 13: Sum and Difference Identities
- LESSON 14: Error Analysis - Sum and Difference Identities
- LESSON 15: 4-way Representation - Trig System of Equations
- LESSON 16: Review for test