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This Wishful Thinking—Does Linearity Hold? (Part 1) lesson plan also includes:
- Wishful Thinking—Does Linearity Hold? (Doc)
- Wishful Thinking—Does Linearity Hold? (PDF)
- Wishful Thinking—Does Linearity Hold? (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 — show your class the difference. The first lesson in a unit on linear transformations and complex numbers that spans 32 segments introduces the concept of linear transformations and the two conditions they must satisfy within a linear algebra course. Examples and exercises challenge the class to determine whether they can prove functions are linear transformations.
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CCSS:
Designed
Concepts
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Instructional Ideas
- Have the class come up with hypothesis of what type of linear functions are also linear transformations
- Ask pupils to come up with functions that may appear to be linear transformations but are not
Classroom Considerations
- The lesson highlights common errors learners often make with polynomials and radicals
Pros
- The extension discussion section has a link to a geometric explanation to an algebra problem
- The teacher resource includes scaffolding suggestions for the exercises
Cons
- None