## Trig Openers U3 L8.docx - Section 2: Opener: Three Trig Problems

# Work Period: Unit 3 Review

Lesson 8 of 9

## Objective: SWBAT review the learning targets that will appear on the Unit 3 exam, as they finish their work, solve problems, and create cheat sheets.

I assigned this Delta Math Trig Functions Practice during the previous class, and some students will want to use these exercises to review for the exam. If they do, that's great and I give them time for that. (Especially for students with limited computer access at home.) I just make sure that they're paying attention to the review sheet as well.

#### Resources

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#### Opener: Three Trig Problems

*15 min*

These Trig Openers are fun because, although they are pretty simply stated, they are well-suited for getting students talking. I give them a few minutes to come up with their solutions, then I ask for volunteers to explain their thinking to the class.

As a warm-up to today's review, these problems are a little bit harder than the exercises that are on today's review sheet, and I think this is a good strategy: challenge students in whole-class discussion of these problems, then give them individual and small-group time in which I stay as hands-off as possible for their exam review.

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#### Work Time: Exam Review

*60 min*

Next, students complete the Exam Review. I tell them they can work alone or together, whatever makes them comfortable. The exam is scheduled for our next class, so students can also use this time to make cheat sheets. One winning strategy for making cheat sheets is to notice what's difficult on the review sheet, then to add to the cheat sheet accordingly.

There will be four SLTs on the exam: the two Unit Circle learning targets, plus Triangles 2 and Circles 2. The same four SLTs are on this review, which is organized into a section for each.

When students have questions, I try to help them find classmates who can help.

There is a big difference between today's review and the problem solving of our previous two classes. I try to help students see this. On Problem Set #14, we were doing some open-ended work and trying to construct some new knowledge. Now that we have done that work, this review sheet consists of exercises that require us to apply what we know.

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#### Closing: Appreciations

*5 min*

On any review day, there's a lot of time for students to help each other. With five minutes left in class, we circle up and do a round of **appreciations**.

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- UNIT 1: Statistics: Data in One Variable
- UNIT 2: Statistics: Bivariate Data
- UNIT 3: Statistics: Modeling With Exponential Functions
- UNIT 4: Statistics: Using Probability to Make Decisions
- UNIT 5: Trigonometry: Triangles
- UNIT 6: Trigonometry: Circles
- UNIT 7: Trigonometry: The Unit Circle
- UNIT 8: Trigonometry: Periodic Functions

- LESSON 1: What's so Great About the Unit Circle?
- LESSON 2: The Unit Radius and the Unit Hypotenuse
- LESSON 3: Using Right Triangles to Make the Unit Circle
- LESSON 4: Sine and Cosine on the Unit Circle
- LESSON 5: Work Period: Extending the Definitions of Trig Ratios to the Unit Circle
- LESSON 6: Unit Circle Problem Solving, Synthesis, and Discovery
- LESSON 7: Tangent on the Unit Circle and Relationships between Trig Functions
- LESSON 8: Work Period: Unit 3 Review
- LESSON 9: Unit 3 Exam