Getting a Handle on New Transformations 1

In the first of a two-day lesson on transformations with matrix notation the class transforms the unit square using general transformations, then calculates the area of the transformed image. They discover it is the same as finding the absolute value of the determinant of the transformational matrix.

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CCSS: Designed
Instructional Ideas

  • Spend some time having the class calculate the determinant of various 2 x 2 matrices
  • Use actual values instead of variables in the exploratory challenge for those having trouble understanding the material
Classroom Considerations

  • Pupils should know how to determine the area of a figure using composition and decomposition
  • 27th segment of the 32-part unit
Pros

  • The answer key shows the diagrams in different colors
  • The scaffolding has the general formulas for matrix multiplication and addition
Cons

  • None
Common Core