The 14th lesson in the unit has the class prove the nine general cases of the geometric representation of complex number multiplication. Class members determine the modulus of the product and hypothesize the relationship for the argument. The outline presents one of the cases with the remaining left for the problem set.

Concepts

complex numbers, multiplication, geometric, complex plane, transformations, dilation, dilations, rotations

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Additional Tags

math

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Instructional Ideas

• Assign problem set problems one and two to groups to work on together and report their findings to the class

Classroom Considerations

• The class should be familiar with graphing complex numbers on the complex plane and should be able to multiply complex numbers algebraically
• Use geometry software to project the the geometric representations of each individual step during the instruction

Pros

• The lesson has the pupils work through the nine general cases of multiplying complex numbers
• The resource includes color diagrams to represent the algebra geometrically

Cons

• None

Common Core

HSN-CN.B.4 MP6 MP8