##
* *Reflection: Intrinsic Motivation
Modeling Real World Data (Day 1 of 4) - Section 2: Application

Some of my students tried to be creative with collecting their data (which I loved and encouraged!). They came in with data from gas prices, stock market values, dollars spent shopping, music sales, and digestive cycles. However, some of this data that they had predicted would make a periodic curve actually didn’t. So I would recommend having some data sets available for these kids and of course the kids that forget to do their homework as well. If you have computers in your classroom, it would be nice to have those kids get on and do their data collection right then and there. Instead, you may want to just limit students to the examples on the expectations page and homework 10; but I think that takes half the fun out of it! An example that DOESN’T work is sometimes just as much of a learning experience for students as one that does and it was fun to see students collecting data that was more interesting to them then examples I came up with.

*Creativity and Disciplinary Knowledge*

*Intrinsic Motivation: Creativity and Disciplinary Knowledge*

# Modeling Real World Data (Day 1 of 4)

Lesson 8 of 15

## Objective: Students will be able to use trigonometric functions to model real world data.

#### Application

*30 min*

I expect students to come to class today with their real world data. After the warm-up,** **students will begin working on their posters. All the expectations and grading details are provided on the Student Handout: Real World Data Project Expectations. I will present page 3 of the flipchart, Day 1 of 4 - Real World Data Trig Project, to set the goals of each class period for the next three days. Today, students should organize and display their data on their poster and make a scatter plot of the information (**MP2**,* ***MP4).**

*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: 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