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# Review of Polynomial Theorems and Graphs

Lesson 14 of 15

## Objective: SWBAT begin pulling together everything they have learned so far about polynomial theorems polynomial graphs and imaginary numbers in preparation for tomorrow's unit test.

## Big Idea: Getting ready for a summative test on polynomial theorems and graphs means doing lots of problems and asking questions when you get stuck.

*75 minutes*

#### Warm-Up and Priority Setting

*15 min*

We synthesize the major concepts of the unit by completing the Polynomial Theorems and Graphs Unit Checklist. This checklist has a set of "I can" statements that students use to assess their understanding of the concepts and skills presented in the unit. Students rate each item on the list according to the following scale:

A = I understand this so well that I could teach it to someone else.

B = I get this but I should review a bit

C = I don’t get this – I better study my notes and/or get help

D = I don’t remember anything about this

There is a space on the unit checklist for students to write down where they can find practice on any item they need to study.

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#### Review Workshop

*40 min*

The Review for Unit Test on Polynomial Theorems and Graphs is a collection of exercises from this unit. Students work in table groups to complete these exercises or something else that they have identified as a priority on their checklist. As students review for the test, I make the answer key available at my desk for anyone who wants to check their work. As they review I circulate and answer questions that come up.

*EXTRA HELP:** I put together a set of video resources, Blendspace Review: Polynomial Functions and Theorems, that students can use if they need remediation on a particular skill. This is especially useful for students that may have had absences during the unit. ** I discuss my rationale for providing this resource in the video Blendspace for Review.*

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Students complete the Review for Unit Test on Polynomial Theorems and Graphs as needed for homework. I remind students that the answers to the homework will be available on Edmodo and that they should check their answers online in preparation for the following day's unit exam

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- LESSON 1: Seeing Structure in Expressions - Factoring Higher Order Polynomials
- LESSON 2: Proving Polynomial Identities
- LESSON 3: Polynomial Long Division and Solving Polynomial Equations
- LESSON 4: The Remainder Theorem
- LESSON 5: The Fundamental Theorem of Algebra and Imaginary Solutions
- LESSON 6: Arithmetic with Complex Numbers
- LESSON 7: Review of Polynomial Roots and Complex Numbers
- LESSON 8: Quiz and Intro to Graphs of Polynomials
- LESSON 9: Graphing Polynomials - End Behavior
- LESSON 10: Graphing Polynomials - Roots and the Fundamental Theorem of Algebra
- LESSON 11: Analyzing Polynomial Functions
- LESSON 12: Quiz on Graphing Polynomials and Intro to Modeling with Polynomials
- LESSON 13: Performance Task - Representing Polynomials
- LESSON 14: Review of Polynomial Theorems and Graphs
- LESSON 15: Unit Assessment: Polynomial Theorems and Graphs