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This Circles, Chords, Diameters, and Their Relationships lesson plan also includes:
- Circles, Chords, Diameters, and Their Relationships (Doc)
- Circles, Chords, Diameters, and Their Relationships (PDF)
- Circles, Chords, Diameters, and Their Relationships (Doc)
- Geometry Module 5: Teacher Materials
- Geometry Module 5: Studnet Materials
- Geometry Module 5: Copy Ready Materials
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A diameter is the longest chord possible, but that's not the only relationship between chords and diameters! Young geometry pupils construct perpendicular bisectors of chords to develop a conjecture about the relationships between chords and diameters. They then prove provided theorems about chords and diameters.
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CCSS:
Designed
Concepts
Additional Tags
Instructional Ideas
- Keep a running list of theorems for this lesson, as well as subsequent lessons
Classroom Considerations
- Activity requires compass and straightedge
- Writing proofs and sharing with the class is likely to take more than the 20 minutes allotted in the lesson
- The second installment of a 23-part series
Pros
- Problem set includes applications of the theorems to mathematical problems
- Teacher resource includes all answers to student worksheets, including exit ticket and problem sets
Cons
- Some of the proofs are easier than others, which may provide inequitable learning experiences for different groups