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# Unit Review: Conic Sections

Lesson 8 of 10

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

*50 minutes*

#### Check Homework

*10 min*

Yesterday my students had a homework assignment from their textbook where they had to graph a couple conic sections that had been rotated. One of them was particularly tedious (3*x*^2 - 2sqrt(3)*xy* +*y*^2 +2*x* +2sqrt(3)*y* = 0, so there are usually lots of questions about it. I will have a student who got the correct answer **present their work** on the document camera.

One thing I tell students is that the ** xy-term should always go away** when we convert it to a new equation in the

*x'y'*-plane. That is the whole point of this process - to make the equation into a form we are familiar with so that we can graph like the conics that are horizontal or vertical.

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#### Unit Review

*40 min*

Here is the unit review that I give my students and have them work on for the rest of the hour. They are in their table groups and so they can talk through their thoughts while working.

In this video I discuss some of the problems on the worksheet.

#### Resources

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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: Conics Sections with Princess the Dog
- LESSON 2: Exploring Ellipses
- LESSON 3: Hashing Out Hyperbolas
- LESSON 4: Pondering Parabolas
- LESSON 5: Classifying Conics
- LESSON 6: Rotated Conic Sections - Day 1 of 2
- LESSON 7: Rotated Conic Sections - Day 2 of 2
- LESSON 8: Unit Review: Conic Sections
- LESSON 9: Review Game: Lingo
- LESSON 10: Unit Assessment: Conic Sections