Reflection: Complex Tasks Transformation of Polynomial Functions - Section 6: Homework

 

The last two problems on this assignment tested my students’ knowledge of transformations.   Problem 9 reflected the graph of the original polynomial over the x-axis and shrunk it by a factor of 2.  The complicated nature of this polynomial affected some of the students, but most students successfully identified this transformation.  This can be seen in this sample Student Assignment 1.  The tenth problem was more complicated.  They know that numbers added or subtracted inside of a function shift it horizontally.  This problem changed one factor of the polynomial from x+5 to x+7.  Many students assumed this would translate the polynomial left 2 additional units.  My goal was to have a great conversation the next day discussing horizontal translations.  I did receive several insightful answers like the one in Student Assignment 2.  

  Complex Tasks: Stretching a Concept
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Transformation of Polynomial Functions

Unit 6: Polynomial Functions
Lesson 10 of 15

Objective: Students will be able to use transformations to graph polynomial functions.

Big Idea: Models support conceptual understanding of function transformations. From cube to cubic!

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Subject(s):
Math, polynomial functions, Algebra 2, Transformations of Functions, master teacher project
  56 minutes
image transformation of polynomial functions
 
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