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# Comparing the Three Methods of Solving Quadratics

Lesson 12 of 21

## Objective: SWBAT choose the best method for solving a quadratic equation

#### Warm Up

*5 min*

Students should work individually on the "think about it" question (quadratic_formula_day2_warm_up.pdf). After students have had about a minute, have them turn and talk with their partner to determine the equation that each obtained. Encourage students to share their ideas and explain the rationale for the equation that they chose (MP3). As students discuss, listen for students that are making a solid argument for the equation. Call on several groups to share their reasoning with the entire class. This type of backwards thinking will deepen student's understanding of the quadratic formula.

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#### Closure

*5 min*

This ticket out (quadratic_formula_day2_closure.pdf) is a simple writing prompt which just requires students to think about the three methods for solving in an metacognitive way. Encourage students to be as detailed as possible with their explanations. While each of these questions have been discussed with the class as a whole, it is interesting to see how students perceive the three techniques and their difficulty level. Most students will say that the quadratic formula is the most difficult and that factoring is the simplest. The point here is to determine student's rationale for these choices.

#### Resources

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- LESSON 1: Overview of Quadratics-Essential Vocabulary
- LESSON 2: Quadratic Functions and Roots
- LESSON 3: Equations involving Factored Expressions
- LESSON 4: Solving Quadratics by Factoring-Day 1
- LESSON 5: Solving Quadratics by Factoring-Day 2
- LESSON 6: Applications of Quadratics Day 1
- LESSON 7: Simplifying Radical Expressions
- LESSON 8: Solving Quadratic Equations with Perfect Squares
- LESSON 9: Completing the Square Day 1
- LESSON 10: Irrational Zeros of Quadratic Functions
- LESSON 11: The Quadratic Formula-Day 1
- LESSON 12: Comparing the Three Methods of Solving Quadratics
- LESSON 13: Three Methods of Solving Quadratics and Word Problems
- LESSON 14: Identifying Roots and Critical Points-Need to Edit
- LESSON 15: Graphing Quadratic Functions Day 1
- LESSON 16: Key Features of Quadratic Functions
- LESSON 17: Sketching Polynomial Functions
- LESSON 18: Vertex Form of a Quadratic Function
- LESSON 19: Transformations with Quadratic Functions
- LESSON 20: Modeling With Quadratic Functions
- LESSON 21: Projectile Problems & Review