## MP7.MP4 - Section 2: Connecting to Prior Knowledge

# Solving Quadratic Trig Equations (Day 1 of 2)

Lesson 10 of 16

## Objective: SWBAT use their knowledge of quadratic equations to solve quadratic trig equations.

## Big Idea: The class works together to review methods of solving quadratic equations and make connections to quadratic trig equations.

*55 minutes*

#### Warm-Up

*5 min*

I begin today's class by asking students to solve the equation on slide 2 of the flipchart - Solving Quadratic Trig Equations. My goal is to get students thinking about how to solve quadratic equations using inverse operations. I am prepared to remind students that:

- They should review having to square root both sides of the equation to solve for x (
**MP7**). - A quadratic equation can allow 2, 1 or 0 solutions (
**MP6**,**MP7**).

If possible I will avoid providing assistance to students on this warm-up problem. I want to assess who can and who cannot solve the problem independently. However, I plan to go over the problem with the class.

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In the middle part of today's lesson, my goal is to have students review solving quadratic equations before we move onto solving quadrtaic trigonometric equations in tomorrow's lesson. After guiding students through part 1 of the Student Activity: Solving Quadratic Trig Equations, I will have students work through exercise 1-5 in part II focusing only on the Algebraic form. then students will present their solutions. Here is more detail on how this went my first year teaching it: Solving Quadratic Trig Equations Day 1, Video Narrative, Quadratic Trig Equations

While students are working through this activity the following mathematical practice standards will be addressed: MP1, MP2, MP3, MP5, MP6, MP7, MP8.

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#### Closure

*10 min*

To close out today’s lesson, I will ask my students to identify questions they still have about solving quadratic trigonometric equations. First, I will have students write down one question they still have (page 4 in Flipchart). Then, I will encourage students to discuss questions in their teams (page 5 in Flipchart). If questions go unanswered, I will step in and make clarifying suggestions. I want to mak sure that students arrive in a confident place before the end of class (page 6 in Flipchart).

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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