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This Which Real Number Functions Define a Linear Transformation? lesson plan also includes:
- Which Real Number Functions Define a Linear Transformation? (Doc)
- Which Real Number Functions Define a Linear Transformation? (PDF)
- Which Real Number Functions Define a Linear Transformation? (Doc)
- Pre-Calculus Module 1: Teacher Materials
- Pre-Calculus Module1: Student Materials
- Pre-Calculus Module 1: Copy Ready Materials
- Assessment
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Not all linear functions are linear transformations, only those that go through the origin. The third lesson in the 32-part unit proves that linear transformations are of the form f(x) = ax. The lesson plan takes another look at examples from the first two lessons of the unit. A discussion walks pupils through the discovery of the form for all linear transformations and the properties of these types of functions.
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CCSS:
Designed
Concepts
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Instructional Ideas
- Prior to beginning the lesson, verify pupil-generated linear transformations with the class
Classroom Considerations
- Class members should know the rules for exponents and logarithms
- It may be necessary to remind the class how function notation works and that the function does not distribute over the inputs
Pros
- The lesson uses the basic properties of linear transformations to build the other properties
- The answer key shows the work individuals should show
Cons
- None