Help the class visualize operations with complex numbers with a lesson that formally introduces complex numbers and reviews the visualization of complex numbers on the complex plane. The fifth installment of a 32-part series reviews the procedures of adding, subtracting, multiplying complex numbers by a scalar, and multiplying two complex numbers. Pupils practice those operations and graph their results on the same complex plane.

Concepts

complex numbers, complex plane, imaginary numbers, binomials, multiplication binomials, combining like terms

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Additional Tags

math

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Instructional Ideas

• Create groups based upon their abilities to operate with binomials
• Conduct a quick review on scale factors and the results of multiplying a length by a scale factor

Classroom Considerations

• If the class remembers how to add, subtract, and multiply complex numbers from Algebra II, consider the lesson as a quick review

Pros

• The lesson plan includes a graphic organizer to use to distinguish between the different types of numbers
• The scaffolding makes the connection between multiplication of complex numbers to the multiplication of binomials

Cons

• None

Common Core

HSN-CN.A.1 HSN-CN.A.3 HSN-CN.B.4 MP7