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# Unit Assessment: Polynomial Theorems and Graphs

Lesson 15 of 15

## Objective: SWBAT demonstrate the ability to prove polynomial identities, explain polynomial theorems and sketch and analyze the graphs of higher order polynomial functions.

## Big Idea: This written assessment is students' chance to show that they can work flexibly with polynomial operations, sketch and interpret graphs of polynomial functions and understand two important polynomial theorems.

*90 minutes*

Students will use this period to complete Test Polynomial Theorems and Graphs. This assessment has a "calculator page" and a "non-calculator page" because I want to make sure that students know how to factor polynomial expressions, sketch the graph of a polynomial functions and solve a simple polynomial equation without the relying on the CAS (computer algebra system) functionality of our calculators.

**Teacher's Note**:

As a math department, we have decided on a list of skills that students should be able to do without a graphing calculator so I am careful to assess these skills throughout the year.

I give students both pages of the test at the beginning of the period and instruct them not to put their calculators under their chairs. They may not use a calculator on the exam until they have delivered the non-calculator page to my desk. This allows them to budget their time, as they can see the entire test at once. Because the non-calculator page has a highly visible symbol at the top, it is easy for me to scan the room to make sure no student is using a calculator inappropriately.

#### Resources

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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