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Teacher Outline: 2.2b Solving Quadratic Equations Algebraically I. Suggested Pacing a. 2 day Traditional b. 1 day Block II. Warm Up Problems a. Solve by factoring i. 𝑚2 = 3𝑚 𝑚 = 3 and 𝑚 = 0 ii. 3𝑘 2 + 72 = 33𝑘 𝑘 = 3 and 𝑘 = 8 b. Solve by Square Root i. 𝑘 2 + 6 = 6 𝑘=0 ii. 9𝑟 2 − 3 = −152 𝑟=± III. IV. 𝑖√149 3 c. Solve by Completing the Square i. 𝑏 2 − 4𝑏 − 12 = 0 𝑏 = 6 and 𝑏 = −2 ii. 𝑣 2 = 14𝑟 − 44 𝑣 = 7 ± √93 Learning Objectives a. Suggested Content Objective: The student will be able to solve quadratic equations algebraically using a variety of methods. b. Suggested Approach: Students will get a basic understanding of the content objectives using think-pair-share, and teacher led instruction. Topic Outline a. Solving Quadratics by Quadratic Formula i. Examples include: 1. 𝑥 2 + 3 = −8𝑥 𝑥= −8±√52 2 2. 𝑥 2 − 13 = 10𝑥 𝑥= 10±√152 2 b. Using the Discriminant i. Examples include: 1. 4𝑥 2 = −𝑥 − 2 Two complex solutions; 𝑥 = −1±𝑖√31 8 2. 2𝑥 2 = −𝑥 − 3 Two complex solutions; 𝑥 = 2.2b Solving Quadratic Equations Algebraically Week 1.6 −1±𝑖√23 4 Page 1