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# Solving Radical Equations

Lesson 2 of 6

## Objective: Solving a variety of radical equations and engaging with conceptual questions, students come to understand why extraneous solutions arise.

#### Lesson Beginning

*5 min*

Class may begin with a brief recap of the previous lesson. Student responses should be elicited with questions like: What is a radical function? What does its graph look like? Didn’t we say something about an extraneous solution? The point here is to simply call all of this to mind again.

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#### Lesson End

*5 min*

In 35 minutes, I generally expect students to complete about the first third of the worksheet. There will have been plenty of misconceptions to clear up with questions and conversation, but by the end of the period everyone should be confidently moving ahead. Things will have been complicated as the students find that these radical equations may have 0, 1, or 2 solutions, and it is not necessary that any of them be extraneous. Graphing both sides of the equation as separate functions and observing their intersections will be very helpful. Class ends with a very brief opportunity for questions, and the direction to attempt one more problem for homework.

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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