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# Cubic Equations Quiz

Lesson 13 of 13

## Objective: SWBAT draw and interpret graphs of cubic functions. SWBAT factor and expand polynomial equations. SWBAT draw conclusions about the graph of a cubic function from its equation, and vice versa.

*45 minutes*

#### Taking the Quiz

*45 min*

For this quiz, I do not allow calculators. The questions are primarily conceptual, and the minimal arithmetic that's required should not be a problem for algebra students.

With that said, I get everyone started as quickly as I can with the understanding that they may use the entire class period for the quiz.

#### Resources

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I will grade this quiz (solution key provided) in a way that allows for partial credit on every problem. For instance, problem 3 is worth 5 points: 1 point for each root, 1 for the y-intercept, 1 for the end behavior. Similarly, the synthetic substitution problems are worth 4 points each: 2 points for understanding the method, 2 points for carrying it out correctly. For number 6, students could earn 2 points for finding the correct quadratic factor and another 2 points for finding the correct roots.

Taking a similar approach to the rest of the problems, I wound up with a total of 34 points possible. The precise number doesn't really matter; what's important is that I strike a balance between assessing conceptual mastery and computational accuracy. Both are important, and one should not completely outweigh the other. (**MP 6**)

#### Resources

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- UNIT 1: Modeling with Algebra
- UNIT 2: The Complex Number System
- UNIT 3: Cubic Functions
- UNIT 4: Higher-Degree Polynomials
- UNIT 5: Quarter 1 Review & Exam
- UNIT 6: Exponents & Logarithms
- UNIT 7: Rational Functions
- UNIT 8: Radical Functions - It's a sideways Parabola!
- UNIT 9: Trigonometric Functions
- UNIT 10: End of the Year

- LESSON 1: Intro to Power Functions
- LESSON 2: Applications of Power Functions
- LESSON 3: The Biggest Box
- LESSON 4: Factoring Cubic Equations
- LESSON 5: A Gallery of Cubic Functions, Day 1 of 2
- LESSON 6: A Gallery of Cubic Functions, Day 2 of 2
- LESSON 7: The Dynamic Cubic Function
- LESSON 8: The Factor Theorem & Synthetic Substitution
- LESSON 9: Graphs of Cubic Functions
- LESSON 10: Graphs of Cubic Functions, Day 2
- LESSON 11: The Lumber Model Problem
- LESSON 12: Cubic Equations Practice
- LESSON 13: Cubic Equations Quiz