Reflection: Problem-based Approaches Introduction to Quadratic Functions - Section 1: Create a Foldable


Reflecting back on Common Core and the increased emphasis of mastering Quadratic Functions in Algebra I, I feel it is important for teachers to keep increasing rigor and relevance in our lessons. This lesson focuses on the parts and analyzing the graph of a Quadratic Function.  An optional method to introduce Quadratic Functions is beginning with an application problem.  A good application problem to begin with comes from this website, on page 21.  It is a manufacturing problem that I model below. This website is the New York final assessment for math at:


Before graphing this problem with students, I have students create a Knows and Need to Knows column on their paper.  I then randomly call on students to share out with the class.  

In the Knows column, students list the following:

  • The given function
  • x is defined as number of units of the commodity sold
  • R(x) is defined as revenue


An example of what students list in the Need to Know list is the following:

  • What is revenue?
  • What is commodity?
  • Find maximum revenue
  • Find the vertex
  • Find the x and the y intercept(s)
  • Explain the x and y intercept(s) in the context of the problem

Then we discuss next steps, which leads into graphing the function.  This also provides a good opportunity to verify the answers by hand to review the Vertex Formula and the Quadratic Formula.

  Optional Introduction- Quadratic Function in Context
  Problem-based Approaches: Optional Introduction- Quadratic Function in Context
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Introduction to Quadratic Functions

Unit 8: Quadratic Functions
Lesson 1 of 10

Objective: SWBAT recognize the parts of a Parabola on the coordinate plane and the different forms of a Quadratic Function.

Big Idea: Students create a foldable to help remember what key characteristics can be identified from a quadratic function in all three forms.

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3 teachers like this lesson
quadratic functions, Math, Quadratic Equations, standard form, axis of symmetry, foldable, 3 forms, vertex form, Intercept Form, vertices, Maximum and Minimum
  50 minutes
foldable quadratic forms
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