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This Discovering the Geometric Effect of Complex Multiplication lesson plan also includes:
- Discovering the Geometric Effect of Complex Multiplication (Doc)
- Discovering the Geometric Effect of Complex Multiplication (PDF)
- Discovering the Geometric Effect of Complex Multiplication (Doc)
- Pre-Calculus Module 1: Teacher Materials
- Pre-Calculus Module1: Student Materials
- Pre-Calculus Module 1: Copy Ready Materials
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Does complex number multiplication have the class spinning? Here's a resource that helps pupils explore and discover the geometric effect of multiplying complex numbers. In the 14th installment in the 32-part unit groups look at the unit square and what happens when the vertices are multiplied by a complex number. Individuals then discover the dilation factor and the rotation angle and how they relate to the modulus and argument of the complex number.
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CCSS:
Designed
Concepts
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Instructional Ideas
- Use geometry software to show the transformations on the unit square
Classroom Considerations
- The class should be familiar with finding the modulus and argument of complex numbers
- The resource is an exploratory lesson; allow the class to explore the effects instead of simply telling them
Pros
- The teacher notes provide questions to ask the class during the discussion portions of the lesson
- The problem set revisits the idea of linear transformations in context of complex number multiplication
Cons
- None