transformation designs.docx - Section 2: Investigation and New Learning

Graphing Polynomial Transformations
Graphing Polynomial Transformations
Unit 7: Polynomial Functions
Lesson 9 of 9
Lesson 9 of 9
Objective: Students will be able to identify the transformations applied to a polynomial function and describe the affect of these transformations on the graph of the function.
Big Idea: Students are motivated to explore polynomial function transformations using designs and computer-based graphs.
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1
Warm-Up
30 min
The Match-Ups were designed specifically to show each of the possible transformations in isolation. I encourage students to predict, but then to check their predictions by plugging in a few points. Even if they get all of the match-ups right, I still ask them to plug in a few points just to check. The questions after each set of match-ups help students write general statements about the relationship between changes in the equation and the transformations in the graph. It is important that students use the graphs to answer these questions.
The beginning of this lesson is the Match-Ups, which some students will complete very quickly. Students can move on to the next part of the lesson at their own pace.
Resources (1)
Resources (1)
Matching Graph Transformations.docx
Resources
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UNIT 7
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- UNIT 1: Linear and Nonlinear Functions
- UNIT 2: Piecewise Functions
- UNIT 3: Absolute Value Functions and More Piecewise Functions
- UNIT 4: Introduction to Quadratic Functions through Applications
- UNIT 5: More Abstract Work with Quadratic Functions
- UNIT 6: Rational Functions
- UNIT 7: Polynomial Functions
- UNIT 8: Exponential Functions
- UNIT 9: Ferris Wheels
- UNIT 10: Circles
- UNIT 11: Radical Functions
- UNIT 12: Cubic Functions
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LESSON 9
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- LESSON 1: The Painted Cube Problem
- LESSON 2: The Painted Cube Part 2 and End Behavior
- LESSON 3: Surface Area and Volume Functions
- LESSON 4: Writing Rules for Polynomial Functions using Data Tables
- LESSON 5: Sketching Graphs of Polynomial Functions
- LESSON 6: Compare and Contrast Graphs of Polynomial Functions
- LESSON 7: Relationship between the Degree and the Number of X-intercepts of a Polynomial
- LESSON 8: Writing Equations for Polynomial Graphs
- LESSON 9: Graphing Polynomial Transformations
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