Modeling Using Trig Functions

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Objective

SWBAT to model a situation using sinusoidal curves.

Big Idea

Students work together to model three different situations using trigonometric functions.

Lesson Author

Tiffany Dawdy

Phoenix, AZ

Grade Level

Twelfth grade

Subjects

Math

Trigonometric functions

modeling

Standards

HSF-TF.B.5

Choose trigonometric functions to model periodic phenomena with specified amplitude, frequency, and midline.*

MP1

Make sense of problems and persevere in solving them.

MP2

Reason abstractly and quantitatively.

MP4

Model with mathematics.

MP5

Use appropriate tools strategically.

MP6

Attend to precision.

Modeling Using Trig

40 minutes

Improving Today's Lesson

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.

Closure: Can you write the equation?

10 minutes

Student Work on Closure Problem

Extending Students Knowledge

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.