Complex numbers were first represented on the complex plane, now they are being represented using sine and cosine. Introduce the class to the polar form of a complex number with the 13th part of a 32-part series that defines the argument of a complex number in terms of a rotation, and connects the definition to the sine and cosine functions learned in previous courses. Then pupils convert between polar and rectangular forms of complex numbers.

Concepts

complex numbers, polar form, trigonometric, trigonometry applications, trigonometric functions, complex plane

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Additional Tags

math

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Instructional Ideas

• Conduct a brief review of trigonometric functions prior to starting the lesson
• Use the trigonometry review problems to identify class members that will need additional support during the lesson

Classroom Considerations

• Individuals should be familiar with special right triangles and finding any side given one other side

Pros

• The teacher notes provide additional suggestions to help the class be successful with the concepts
• Each section has its own suggested timing

Cons

• None

Common Core

HSN-CN.B.4 MP2 MP3 MP7