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Complex Numbers Test

# Complex Numbers Test

Unit 2: The Complex Number System

Lesson 16 of 16

Lesson 16 of 16

## Objective: SWBAT demonstrate mastery of arithmetic with complex numbers, graphing numbers in the complex plane, and solving problems involving both real and complex solutions.

## Big Idea: Students will individually employ the standards for mathematical practice as they solve problems involving complex numbers.

Subject(s):

Math, Quadratic Equations, Algebra, Algebra 2, master teacher project, complex numbers, Imaginary Numbers, assessment

*46 minutes*

1

#### Taking the Test

*45 min*

The complex numbers test will probably require the entire 45 minute period for most students, so it is important to begin as quickly as possible.

Each student will need a couple sheets of graph paper since there is not room on the test itself to write the solutions to all of the problems. Also, they will be asked to graph some complex numbers in the complex number plane.

Each student will also need a calculator.

#### Resources

*expand content*

2

#### Scoring the Test

*1 min*

I've included my Complex Numbers Test Rubric here to help you score the test. For my thoughts on how to use it and how I developed it, please see this video.

*expand content*

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- UNIT 1: Modeling with Algebra
- UNIT 2: The Complex Number System
- UNIT 3: Cubic Functions
- UNIT 4: Higher-Degree Polynomials
- UNIT 5: Quarter 1 Review & Exam
- UNIT 6: Exponents & Logarithms
- UNIT 7: Rational Functions
- UNIT 8: Radical Functions - It's a sideways Parabola!
- UNIT 9: Trigonometric Functions
- UNIT 10: End of the Year

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- LESSON 1: Quadratic Equations, Day 1 of 2
- LESSON 2: Quadratic Equations, Day 2 of 2
- LESSON 3: Inconceivable! The Origins of Imaginary Numbers
- LESSON 4: Complex Solutions to Quadratic Equations
- LESSON 5: Complex Addition
- LESSON 6: The Parallelogram Rule
- LESSON 7: Complex Arithmetic and Vectors
- LESSON 8: Multiplying Complex Numbers, Day 1 of 4
- LESSON 9: Multiplying Complex Numbers, Day 2 of 4
- LESSON 10: Muliplying Complex Numbers, Day 3 of 4
- LESSON 11: Multiplying Complex Numbers, Day 4 of 4
- LESSON 12: Practice & Review
- LESSON 13: Dividing Complex Numbers
- LESSON 14: Quadratic Functions Revisited, Day 1
- LESSON 15: Quadratic Functions Revisited, Day 2
- LESSON 16: Complex Numbers Test

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