## Graphing Complex Numbers

#### Aligned To Common Core Standard:

**High School** - HSN-CN.B.4

How to Graph Complex Numbers? Graphing complex numbers is much similar to real graphing numbers, but these graphs do not hold any physical significance. It is just a way to represent these numbers visually. The graphing of complex numbers combines the real-number co-coordinate plane with that of Gauss or Argand coordinate plane. Complex numbers are the ones that are a combination of real and imaginary numbers. The real numbers include both rational and irrational integers, while the imaginary numbers are the square roots of negative numbers. We plot the real part of a complex number on the x-axis and the imaginary part on the y-axis. It is due to this reason in the complex coordinate plane; we label the x-axis as the real axis and the y-axis as the imaginary x-axis. A complex number of the form, a + 0i, lies on the x-axis. A complex number of form; 0 + bi, lies on the y-axis. Graphing complex numbers is very simple! This lesson and worksheets series shows you how to visualize complex numbers by putting them in a graphing form.

### Printable Worksheets And Lessons

- Imaginary Number Graph Step-by-step Lesson- We show you how to turn -4 +4i into a rectangular coordinate set.

- Guided Lesson - A little rapid fire here for you. We switch between negative and non-negative whole numbers.

- Guided Lesson Explanation - I don't know what caused me to use that really large red dot.

- Practice Worksheet - Yeah, you'll need extra graph paper for this one.

- Matching Worksheet - Match the graph of the complex numbers to the data sets.

- Graphing Complex Numbers Five Pack - This should be a nice addition for your classes.

#### Homework Sheets

At first look, these problems overwhelm students. Just work through a few with them and they'll grasp it quickly.

- Homework 1 - The x-axis is termed the real axis because it is the real number.
- Homework 2 - The complex number is represented by the point or by the vector drawn from the origin to the point.
- Homework 3 - The y-axis is termed the imaginary axis. You guess it; it is dictated by the imaginary number.

#### Practice Worksheets

Time to stretch out that imaginary axis.

- Practice 1 - Please provide a rough sketch of the graph of this complex number: 75 + 100i
- Practice 2 - See where this one lands.
- Practice 3 - One last sketch of this complex number: 20 + 25i

#### Math Skill Quizzes

Sketching the complex numbers can go two ways. Many kids find it to be manageable.