About This Chapter
Below is a sample breakdown of the Working with Complex Numbers chapter into a 5-day school week. Based on the pace of your course, you may need to adapt the lesson plan to fit your needs.
|Day||Topics||Key Terms and Concepts Covered|
|Monday||What is an Imaginary Number?||The origins of imaginary numbers and the steps for solving problems with imaginary numbers|
|Tuesday||What is an Imaginary Number?||The use of complex numbers and exponents in combination with imaginary numbers|
|Wednesday||How to Add, Subtract and Multiply Complex Numbers||The process of creating complex numbers|
|Thursday||How to Divide Complex Numbers||Multiplying complex conjugates in order to divide complex numbers|
|Friday||How to Graph a Complex Number on the Complex Plane||An explanation of this process|
1. What is an Imaginary Number?
The imaginary number 'i' is the square root of -1. Although this number doesn't actually exist, pretending that it does allows us to do a bunch of crazy math that scientists use every day. Learn the basics of that number 'i' here!
2. How to Add, Subtract and Multiply Complex Numbers
Knowing that complex numbers exist is the first step. But that knowledge alone won't help you do much with them. Learn the basics of complex number addition, subtraction and multiplication here!
3. How to Divide Complex Numbers
While adding, subtracting and multiplying complex numbers is pretty straightforward, dividing them can be pretty tricky. It comes down to the process of multiplying by the complex conjugate. Learn about what that is, and how to do it, here.
4. How to Graph a Complex Number on the Complex Plane
Graphing complex numbers is pretty straight forward, but it's not necessarily intuitive. Check out this lesson to learn the vocabulary and the conventions that you'll need.
Earning College Credit
Did you know… We have over 200 college courses that prepare you to earn credit by exam that is accepted by over 1,500 colleges and universities. You can test out of the first two years of college and save thousands off your degree. Anyone can earn credit-by-exam regardless of age or education level.
To learn more, visit our Earning Credit Page
Transferring credit to the school of your choice
Not sure what college you want to attend yet? Study.com has thousands of articles about every imaginable degree, area of study and career path that can help you find the school that's right for you.
Other chapters within the Trigonometry Curriculum Resource & Lesson Plans course
- Real Numbers: Types & Properties Lesson Plans
- Working with Linear Equations Lesson Plans
- Working with Inequalities Lesson Plans
- Absolute Value Equations Lesson Plans
- Systems of Linear Equations Lesson Plans
- Mathematical Modeling Lesson Plans
- Introduction to Quadratics Lesson Plans
- Working with Quadratic Functions Lesson Plans
- Coordinate Geometry Review Lesson Plans
- Functions for Trigonometry Lesson Plans
- Function Operations Lesson Plans
- Graph Symmetry Lesson Plans
- Graphing with Functions Lesson Plans
- Polynomial Functions Basics Lesson Plans
- Higher-Degree Polynomial Functions Lesson Plans
- Rational Functions & Difference Quotients Lesson Plans
- Rational Expressions & Function Graphs Lesson Plans
- Exponential & Logarithmic Functions Lesson Plans
- Using Trigonometric Functions Lesson Plans
- Triangle Trigonometry Lesson Plans
- Trigonometric Graphs Lesson Plans
- Solving Trigonometric Equations Lesson Plans
- Trigonometric Identities Lesson Plans
- Trigonometric Applications Lesson Plans
- Analytic Geometry & Conic Sections Lesson Plans
- Vectors, Matrices & Determinants Lesson Plans
- Polar Coordinates & Parameterizations Lesson Plans
- Circular Arcs, Circles & Angles Lesson Plans