## Proofs_of_Identities_Student handout modified.docx - Section 2: Investigation

*Proofs_of_Identities_Student handout modified.docx*

*Proofs_of_Identities_Student handout modified.docx*

# Discovering Trig Identities (Day 2 of 4)

Lesson 2 of 16

## Objective: SWBAT visualize and interpret the trigonometric identities with a focus today on negative angle identities.

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#### Closure

*15 min*

Today’s closure to the lesson is very important!

At the end of a discovery activity it is important for communicate to students about what they have learned. First, I will have students complete another page in their trig identities book with the negative angle identities. I ran this as a whole group discussion. I asked the students to share what they found and then filtered any incorrect answers by asking the class if they agreed. Then I explicitly summarized the identities on the board just to be sure that every student was getting the correct information (MP6).

Next, I will have students complete the closure questions on Pages 5-7 of Discovering Trig Identities. I plan to provide about 10 minutes for students to work through the last 3 questions on the flipchart (pages 5-7) and to allow a bit of time to go over the last question (MP1). The last question is intended to just see what they came up with. The purpose of this last question is to first communicate to students where we are going with this, but also it gives a great preview to the teacher of who will most likely become a leader in the class for simplifying identities (MP2).

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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