Reflection: Intervention and Extension Quadratic Functions in Three Forms - Section 5: Quadratic Functions in Three Forms

 

There's so much that can happen as students dive into this assignment.  Just a few more notes here:

This assignment provides a nice chance for kids to make sure they're making appropriate use of + and - signs.  Look at how this student has gone back to change the signs as he practices.

A really fun pattern to get kids to see is the relationship between the two roots and the "k" value in vertex form.  Can you see it?  Can you see how it's related to the adventure in number theory from the start of today's class?  Again, I don't rush to point this out, but when a student is making great progress, I might just throw in this little detail.

The sequence of functions is structured to give students a chance to see how similar quadratic expressions relate to one another.  Take a look at the solutions to see what I mean.  Exploring the graph will provide another opportunity for kids to make the kinds of observations I hope they'll make.

  Patterns and Things to Ponder
  Intervention and Extension: Patterns and Things to Ponder
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Quadratic Functions in Three Forms

Unit 10: Quadratic Functions
Lesson 6 of 21

Objective: SWBAT use the process of factoring and completing the square in a quadratic function to show zeros, extreme values, and symmetry of the graph.

Big Idea: An brief adventure in number theory provides some background knowledge for completing the square, then students get to practice manipulating quadratic expressions in different forms.

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u6 l6 sw extension with graphs l14 option p1
 
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