Graphing Complex Numbers Worksheets
We graph just about anything to help us be able to see the values in a different form which may bring us more insight into the significance of the values that it represents. Which can do this for complex numbers too. The method we use does not stray too far from our traditional method for plotting graphs of real numbers. This lesson and worksheets series shows you how to visualize complex numbers by putting them in a graphing form. One of things that we do well in this section is give you a whole bunch of different scales to work these graphs out on. This really helps you learn to build a wide range of graph forms.
Aligned Standard: HSN-CN.B.4
- 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.
- Answer Keys - These are for all the unlocked materials above.
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.
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. These values a scaled up a good deal.
- 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.
- Quiz 1 - We wish you had a place to put all your answers.
- Quiz 2 - Convert the values before you perform your moves.
- Quiz 3 - Work hard at getting this all right.
How to Graph Complex Numbers?
Graphing complex numbers is very 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.
The best line of action to take when creating these graphs is to determine the real and imaginary portions of the complex numbers. Start by plotting the real portion on the horizontal axis, then notate the imaginary portion on the vertical axis. You would plot the point just like you would for a traditional ordered pair.