The matrix — it's not just a movie. The lesson introduces the concept of 2 x 2 matrix multiplication as a way to represent linear transformations. Class members determine when a linear transformation represented as matrix multiplication is a rotation and dilation. Individuals then work with other types of linear transformations in the 22nd part of the 32-part series.

Concepts

matrices, matrix operations, multiplication matrices, linear algebra, transformations, rotations, dilation, dilations

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Additional Tags

math

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Instructional Ideas

• Spend more time explaining matrix multiplication and having the class practice the skill

Classroom Considerations

• The class members should be familiar with writing a linear transformation using Cartesian coordinates
• The lesson also includes the beginning exploration of the HSN-VM.C.11 and HSN-VM.C.12 standards

Pros

• The lesson outline shows were the specific math practices come into play
• The exercises start with concrete examples before moving on to the abstract

Cons

• None

Common Core

HSN-VM.C.8 HSN-VM.C.10 MP2 MP7