Video game characters move straight with matrices. The first day of a two-day lesson introduces the class to linear transformations that produce straight line motion. The 23rd part in a 32-part series has pupils determine the transformations that take place as a character in a video game moves along a straight line. They also find that not all linear motions can be represented as a matrix transformation.

Concepts

linear motion, linear algebra, transformations, translations, linear modeling, math modeling, video games, matrices, matrix operations, multiplication matrices

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Additional Tags

math

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Instructional Ideas

• Have groups decide on a character movement and write the matrix transformation that will accomplish that movement

Classroom Considerations

• Class members should be familiar with matrix multiplication
• The exercises require the pupils to understand when it is required to set up and solve linear equations

Pros

• The answer key provides alternative solutions
• The teacher notes include anticipated responses to discussion questions

Cons

• None

Common Core

HSN-VM.C.8 HSN-VM.C.10 HSN-VM.C.11 MP2 MP3 MP4 MP7 MP8