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# Unit: Module 1: Complex numbers and transformations

#### 0

Possible mastery points

## Topic A: Lessons 1-6: Complex numbers review

Practice
Powers of the imaginary unitGet 3 of 4 questions to level up!
Plot numbers on the complex planeGet 3 of 4 questions to level up!
Add & subtract complex numbersGet 3 of 4 questions to level up!
Graphically add & subtract complex numbers Get 3 of 4 questions to level up!
Multiply complex numbers (basic)Get 3 of 4 questions to level up!
Multiply complex numbersGet 3 of 4 questions to level up!

#### Quiz 1

Level up on the above skills and collect up to 600 Mastery points

## Topic A: Lessons 7-8: Complex number division

Practice
Complex number conjugatesGet 3 of 4 questions to level up!
Divide complex numbersGet 3 of 4 questions to level up!

#### Quiz 2

Level up on the above skills and collect up to 200 Mastery points

## Topic B: Lessons 9-12: Distance and midpoint of complex numbers

Practice
Distance of complex numbersGet 3 of 4 questions to level up!
Midpoint of complex numbersGet 3 of 4 questions to level up!

#### Quiz 3

Level up on the above skills and collect up to 200 Mastery points

## Topic B: Lesson 13: Trigonometry and complex numbers

Practice
Absolute value of complex numbersGet 3 of 4 questions to level up!
Angle of complex numbersGet 3 of 4 questions to level up!
Complex numbers from absolute value & angleGet 3 of 4 questions to level up!
Polar & rectangular forms of complex numbersGet 3 of 4 questions to level up!

#### Quiz 4

Level up on the above skills and collect up to 400 Mastery points

## Topic B: Lessons 14-17: Multiplying and dividing complex numbers in polar form

Practice
Multiply & divide complex numbers in polar formGet 3 of 4 questions to level up!

## Topic C: Lessons 18-19: Exploiting the connection to trigonometry

Practice
Powers of complex numbersGet 3 of 4 questions to level up!

#### Quiz 5

Level up on the above skills and collect up to 200 Mastery points

## Topic C: Lessons 21-23: Transforming vectors with matrices

Practice
Matrix dimensionsGet 3 of 4 questions to level up!
Matrix elementsGet 3 of 4 questions to level up!
Multiply matricesGet 3 of 4 questions to level up!
Transform vectors using matricesGet 3 of 4 questions to level up!

#### Quiz 6

Level up on the above skills and collect up to 400 Mastery points

## Topic C: Lesson 24: Matrix notation encompasses new transformations!

Practice
Transform polygons using matricesGet 3 of 4 questions to level up!
Matrices as transformationsGet 3 of 4 questions to level up!

#### Quiz 7

Level up on the above skills and collect up to 200 Mastery points

## Topic C: Lesson 25: Properties of matrix addition

#### Quiz 8

Level up on the above skills and collect up to 200 Mastery points

## Topic C: Lessons 26-30: Matrix inverses

Practice
Determinant of a 2x2 matrixGet 3 of 4 questions to level up!
Determine inverse matricesGet 3 of 4 questions to level up!
Determine invertible matricesGet 3 of 4 questions to level up!
Find the inverse of a 2x2 matrixGet 3 of 4 questions to level up!
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#### Unit test

Level up on all the skills in this unit and collect up to 2800 Mastery points!

### About this unit

"Module 1 sets the stage for expanding students' understanding of transformations by exploring the notion of linearity. This leads to the study of complex numbers and linear transformations in the complex plane. The teacher materials consist of the teacher pages including exit tickets, exit ticket solutions, and all student materials with solutions for each lesson in Module 1." Eureka Math/EngageNY (c) 2015 GreatMinds.org