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This Equations for Tangent Lines to Circles lesson plan also includes:
- Geometry Module 5: Teacher Materials
- Geometry Module 5: Student Materials
- Geometry Module 5: Copy Ready Materials
- Geometry Module 5, Topic D Overview
- Geometry Module 5, Topic D, Lesson 19: Teacher Version (Doc)
- Geometry Module 5, Topic D, Lesson 19: Student Version (PDF)
- Geometry Module 5, Topic D, Lesson 19: Student Version (Doc)
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Don't go off on a tangent while writing equations of tangent lines! Scholars determine the equations for tangent lines to circles. They attempt both concrete and abstract examples, such as a tangent line to the unit circle through (p, 0).
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CCSS:
Designed
Concepts
Additional Tags
Instructional Ideas
- Have pupils attempt the exercise problems in pairs
Classroom Considerations
- Learners must be proficient with equations of circles, which are covered in the previous two lessons
- Lesson builds on previous knowledge of tangent lines from the module
Pros
- Learners discover equations of tangent lines through guided questions and discussions
- Teacher resource includes solutions to discussion questions, problem set, and exercises
- Lesson plan includes indications of where to look for evidence of mathematical practices
Cons
- Abstract nature of questions unlikely to hold interest