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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!