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# Modeling Using Trig Functions

Lesson 7 of 15

## Objective: SWBAT to model a situation using sinusoidal curves.

*50 minutes*

#### Modeling Using Trig

*40 min*

For the majority of the class period today, students will work together to complete the Modeling with Trig Functions worksheet. The goal today is for students to get a solid understanding of some cyclic real world problems, and, an understanding for how functions can be used to represent them. Toward the end of class, students will work toward being able to model a situation using a trigonometric equation.

I really want students working together today. I think that this lesson offers a great opportunity to engage in Mathematical Practice 3. Students should have enough prior knowledge to be successful in this activity without much help from me. So, I will also be implementing a strategy, such as Question Cubes, to limit the questions that are asked of me.

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With about 10 minutes remaining in the period, I am going to have them start to work on writing an equation to model the Ferris Wheel problem from their worksheet today, Modeling with Trig Functions. I will collect their answer as their ticket-out-the-door. I want each student to submit their own answer. I plan to review correct answers at the beginning of the next class period.

#### Resources

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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: Making Waves... with pasta! (Day 1 of 2)
- LESSON 2: Making Waves... with pasta! (Day 2 of 2)
- LESSON 3: Calculator Activity: Transformations of Trig Functions (Day 1 of 2)
- LESSON 4: Calculator Activity: Transformations of Trig Functions (Day 2 of 2)
- LESSON 5: Graphing Trigonometric Functions
- LESSON 6: One of Those Days
- LESSON 7: Modeling Using Trig Functions
- LESSON 8: Modeling Real World Data (Day 1 of 4)
- LESSON 9: Modeling Real World Data (Day 2 of 4)
- LESSON 10: Modeling Real World Data (Day 3 of 4)
- LESSON 11: Modeling Real World Data (Day 4 of 4)
- LESSON 12: Trig Millionaire Game
- LESSON 13: More Trig Functions
- LESSON 14: Trigonometric Functions Review
- LESSON 15: Trigonometric Functions Unit Assessment