Reflection: Developing a Conceptual Understanding Intercepts of Polynomial Functions - Section 1: Section 1: Warm up and Homework Review

 

One important feature of  polynomial functions is that an infinite number can have the same intercepts.  This is one of the big ideas of this lesson.  The goal of this warm up is to prep the students for this conversation.  I was surprised by how much they struggled with this idea.  Just about everyone could find one equations with the given zeros but I had to give some hints to enable the students to find another one.  Warm Up 2 is representative of the two most people ended up with.  Warm Up 1 surprised me by finding a multiple before we discussed this as a class.  Because so many students struggled, I had them find several more using multiples.  Even with a rocky start, after the discussion, this warm up had the desire effect and my students were able to connect it into the day’s lesson.

  Developing a Conceptual Understanding: Setting Up The Lesson
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Intercepts of Polynomial Functions

Unit 6: Polynomial Functions
Lesson 7 of 15

Objective: Students will be able to use key features of a polynomial graph to write the polynomial function.

Big Idea: The relationship between graphical and algebraic representations of polynomial functions, it all comes down to the roots!

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Subject(s):
Math, polynomial functions, intercepts, Algebra 2, master teacher project
  51 minutes
image intercepts of polynomial functions
 
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