Lesson Plan

Transformations of Quadratic Functions in Standard and Vertex Form

Students will use their knowledge of transformations to create a fireworks display on a graphing calculator
Melissa S.
Classroom teacher
Novi High School
Novi, MI
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My Grades 9
My Subjects Math

Students will be able to... Describe the effects on a graph by changing the a, b and c values of a quadratic equation written in standard form and the h and k values of a quadratic equation written in vertex form.

HSF-BF.B.3. Identify the effect on the graph of replacing f(x) by f(x) + k, k f(x), f(kx), and f(x + k) 

Grades 9 - 10
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1 Independent Practice

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Using a graphing calculator, students will create 3 parabolas of various heights and widths by altering the a, b and c values of the equations and 3 parabolas by altering the h and k values.  The students will follow the questions that correspond with the activity to help them think of the best equations to use.

2 Direct Instruction

Activity: Exploring

I will go to the website: http://www.softschools.com/math/algebra/quadratic_functions/quadratic_fu...

This website has an interactive manipulative that allows you to change the different parts of the equation.  Students will be able to draw conclusions as to how a graph is affected by changing a certain number in the equation.

3 Guided Practice

I will put a picture of a graph on the board and in groups, students will determine the best equation for this graph using their knowledge of direction of opening, width, y-intercept, and vertex.

4 Wrap Up

Activity: Presenting

Students will perform a gallery walk.  Students will display their graphs and equations on their desks while their classmates walk around to see how similar and different these are from their own.