The following worksheets will teach your students to determine the absolute value of complex numbers.

In my experience the best way to start off with any lesson on absolute value is to break out a numbers line. The distance forward or back from the zero point is considered a value. On these worksheets we are working with a more complicated numbers that a simple negative or positive integer, but the basic concept still holds true. Try to determine the distance from the point of origin for each value. You can solve for the absolute value of complex numbers by plugging the values of the provided variables.

With these lessons and activities, students will learn the concept of finding the absolute value of a complex number by using the proper formula needed to solve for the variables given.



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Absolute Value of Complex Numbers - Lesson

Learn how to find the absolute value of a complex number. Example: -4i

Worksheet 1

Find the absolute value of each complex number shown. Example: √4 - i

Worksheet 2

Find the absolute value of each complex number shown. Example: √8 - i

Review Sheet

Follow the steps to review finding absolute value. Example: -2i

Quiz

For each problem, find the absolute value. Then check your answers and record your total score below. Example: √6 - i

Do Now

Complete the following problems, then put your answer in the "My Answer" box. Example: 6 - 5i

Lesson 2

Learn how to solve this problem related to the absolute value concept: Find the distance from the origin to this point: 11 - 12i

Worksheet 3

Solve for each. Example: √6 - 2i

Worksheet 4

Solve for each. Example: Find |Z|, if Z = 11 + 7i

Review Sheet

Follow the steps to review the process for solving problems such as the following: Find the distance from the origin to this point: 11 - 12i

Quiz

For each problem, follow the instructions to solve. Once finished, check your answers and record your total score below. Example: Find the distance from origin to the following point: √16 - 7i

Absolute Value of Complex Numbers - Do Now

Complete the following problems, then put your answer in the "My Answer" box. Example: √13 - 2i