# Graphing Radical Functions Day 1

3 teachers like this lesson
Print Lesson

## 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.

## Jump right in!

5 minutes

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.

## Making Progress

10 minutes

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.

30 minutes