Lesson 18
The Quadratic Formula and Complex Solutions
Lesson Narrative
In the previous lesson, students completed the square to find real and non-real solutions to quadratic equations. In this lesson, students use the quadratic formula to calculate real and non-real solutions.
Students construct viable arguments and critique the reasoning of others when they compare solutions of equivalent quadratic equations and resolve any disagreements during a row game (MP3).
Learning Goals
Teacher Facing
- Calculate complex solutions using the quadratic formula and represent them in the form $c \pm di$, where $c$ and $d$ are real numbers.
- Explain reasoning and critique the reasoning of others when solving quadratic equations.
- Explain when solutions are non-real when using the quadratic formula.
Student Facing
- Let’s use the quadratic formula to find complex solutions to quadratic equations.
Learning Targets
Student Facing
- I can find complex solutions to quadratic equations by using the quadratic formula.
CCSS Standards
Print Formatted Materials
Teachers with a valid work email address can click here to register or sign in for free access to Cool Down, Teacher Guide, and PowerPoint materials.
Student Task Statements | docx | |
Cumulative Practice Problem Set | docx | |
Cool Down | Log In | |
Teacher Guide | Log In | |
Teacher Presentation Materials | docx |