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
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