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# Graphing Radical Functions Day 1

Lesson 5 of 6

## Objective: Students will be able to graph simple radical functions by hand and solve for specified values both graphically and analytically.

## Big Idea: Systems of rational and linear equations may be solved graphically by observing the point where the graphs intersect.

*45 minutes*

#### Jump right in!

*5 min*

This lesson requires very little introduction. The students are already quite familiar with graphing functions, and should be able to do so without too much trouble. If anything, a brief reminder of what it means to solve a system of equations *graphically* may be necessary. Since the solution is only approximate, and based on a picture, most of my students are hesitant to accept it. This will motivate them to also solve the system algebraically. Students are instructed to begin working *individually* and *without* graphing calculators.

#### Resources

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#### Making Progress

*10 min*

For the next ten minutes, I meander throughout the room having brief discussions with individual students about their work. I will help them to identify mistakes, clarify instructions, and confirm what is correct. In particular, a number of them will need help with the cubic parabola and the cube root function. Also, I expect several to initially confuse the *horizontal* line *f*(*x*) = 1 with the *vertical* line *x* = 1. In every case, my aim is to help students to identify their own mistakes simply by asking them pointed questions about their work.

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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