Translating complex numbers is as simple as adding 1, 2, 3. In the ninth instructional activity in a 32-part series, the class takes a deeper look at the geometric effect of adding and subtracting complex numbers. The resource leads pupils into what it takes to reflect across the real and complex axis. By the end, class members can determine the complex number to use to arrive at a desired translation.

Concepts

complex numbers, complex plane, addition, subtraction, geometric, translations, rotations, reflections

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Additional Tags

math

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Instructional Ideas

• Conduct a quick review of translations, reflections, and rotations on the coordinate plane
• Use a projection device or interactive board to show the transformations that occur while operating with complex numbers

Classroom Considerations

• The class should be familiar with using the Pythagorean theorem

Pros

• The resource includes a lesson summary that lists the concepts the class should have learned
• The exercises, examples, exit ticket, and problem set all contain similar problems

Cons

• None

Common Core

HSN-CN.B.5 MP8