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# Unit Review: Math in 3D

Lesson 7 of 9

## Objective: SWBAT review the important concepts of this unit.

*50 minutes*

#### Explore

*15 min*

The purpose of today is to get students ready for the unit assessment that covers all of the three-dimensional topics that we studied. Before students start working on this review, I want to **go through question #1a together**. I like this question a lot because there are two distinct ways to solve it and both are great reviews of the concepts we learned in this unit.

I give students 5-10 minutes to work on this in their table groups. Before they begin I let them know that I would love it if they could** solve the problem in two different ways**. I go around as students are working and note if they are **using the side lengths **(finding each side length and testing it in the Pythagorean Theorem) or **using the angle measures** (finding the vectors that represent each side length and finding the angle between them) to decide if the triangle is a right triangle or not.

Ideally, I will see both strategies being used. If so, I will choose one student who used each strategy to **share their work with the class**. If I only see one strategy, I will ask a few questions to guide them to use the missing method.

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- UNIT 1: Functioning with Functions
- UNIT 2: Polynomial and Rational Functions
- UNIT 3: Exponential and Logarithmic Functions
- UNIT 4: Trigonometric Functions
- UNIT 5: Trigonometric Relationships
- UNIT 6: Additional Trigonometry Topics
- UNIT 7: Midterm Review and Exam
- UNIT 8: Matrices and Systems
- UNIT 9: Sequences and Series
- UNIT 10: Conic Sections
- UNIT 11: Parametric Equations and Polar Coordinates
- UNIT 12: Math in 3D
- UNIT 13: Limits and Derivatives

- LESSON 1: Distance and Midpoints in 3D
- LESSON 2: Equation of a Sphere
- LESSON 3: 3D Vectors and the Dot Product
- LESSON 4: The Cross Product
- LESSON 5: Planes in Space
- LESSON 6: Lines in Space
- LESSON 7: Unit Review: Math in 3D
- LESSON 8: Unit Review Game: Lingo
- LESSON 9: Unit Assessment: Math in 3D