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Lesson Plan

When Can We Reverse a Transformation? 1

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This When Can We Reverse a Transformation? 1 lesson plan also includes:

Wait, let's start over — teach your class how to return to the beginning. The first lesson looking at inverse matrices introduces the concept of being able to undo a matrix transformation. Learners work with matrices with a determinant of one and set up a system of equations to find the appropriate inverse matrix. 

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CCSS: Designed
Concepts
inverse matrices, matrices, matrix operations, multiplication matrices, identity, systems of equations, transformations, rotations, dilation, dilations
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Additional Tags
math
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Instructional Ideas
  • Have the class members calculate the determinant of the matrix and its inverse to begin seeing a pattern
Classroom Considerations
  • The class should be familiar with the Pythagorean identity for trigonometry
  • Class members need to be able to solve systems of equations
  • The lesson is the 29th installment in a unit of 32
Pros
  • The answer key shows the systems of equations your class must solve
  • The teacher notes provide anticipated responses to discussion questions
Cons
  • Question one in the problem set asks for a description of a formula that has not be fully developed in the lesson