Lesson 14
More Arithmetic with Complex Numbers
Lesson Narrative
This lesson is optional because it is an opportunity for extra practice that not all classes may need.
In this lesson, students practice using complex number arithmetic to write expressions in the form \(a+bi\), where \(a\) and \(b\) are real numbers. Students look for and make use of repeated reasoning to analyze the expression \(i^n\), where \(n\) is a whole number (MP8). They also construct viable arguments and critique the reasoning of others when they resolve discrepancies during a row game (MP3).
Learning Goals
Teacher Facing
- Add, subtract, and multiply complex numbers, and represent the solutions in the form $a+bi$.
- Explain reasoning and critique the reasoning of others when writing numbers in the form $a+bi$.
- Generalize patterns in repeated reasoning to show what happens when $i$ is raised to different powers.
Student Facing
- Let’s practice adding, subtracting, and multiplying complex numbers.
Learning Targets
Student Facing
- I can do arithmetic with complex numbers.
CCSS Standards
Addressing
Print Formatted Materials
Teachers with a valid work email address can click here to register or sign in for free access to Cool Down, Teacher Guide, and PowerPoint materials.
| Student Task Statements | docx | |
| Cumulative Practice Problem Set | docx | |
| Cool Down | Log In | |
| Teacher Guide | Log In | |
| Teacher Presentation Materials | docx |