 # Discovering the Geometric Effect of Complex Multiplication

##### This Discovering the Geometric Effect of Complex Multiplication assessment also includes:

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.

CCSS: Designed

##### 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

• None