Main content

# Unit 1: Module 1: Complex numbers and transformations

3,000 possible mastery points

Mastered

Proficient

Familiar

Attempted

Not started

Quiz

Unit test

## 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

### Learn

### 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!

Level up on the above skills and collect up to 480 Mastery points

### Learn

### Practice

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

Level up on the above skills and collect up to 160 Mastery points

### Learn

### Practice

- Graphically multiply complex numbersGet 3 of 4 questions to level up!
- Distance of complex numbersGet 3 of 4 questions to level up!
- Midpoint of complex numbersGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 240 Mastery points

### Learn

### Practice

- Modulus (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!

Level up on the above skills and collect up to 320 Mastery points

Level up on the above skills and collect up to 160 Mastery points

### Learn

### 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!
- Use matrices to transform 3D and 4D vectorsGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 320 Mastery points

### Learn

### Practice

- Transform polygons using matricesGet 3 of 4 questions to level up!
- Understand matrices as transformations of the planeGet 3 of 4 questions to level up!
- Use matrices to transform the planeGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 240 Mastery points

### Learn

### Practice

- Add & subtract matricesGet 3 of 4 questions to level up!
- Multiply matrices by scalarsGet 3 of 4 questions to level up!

Level up on the above skills and collect up to 160 Mastery points

### Learn

### Learn

### 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!

Up next for you:

Level up on all the skills in this unit and collect up to 3,000 Mastery points!