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This Slopes and Circles activity also includes:
- Answer Key
- Worksheet
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An upper-level treatment of what is often presented as a basic concept (the right angle of an inscribed circle on the diameter), this activity really elevates the mathematical thought of the learner! Expected to develop formulas from abstract points and then manipulate them into revealing forms, even the most advanced pupil will find a challenge in this activity. Excellent for spiraling geometric content into later courses.
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CCSS:
Designed
Concepts
Additional Tags
Instructional Ideas
- Use in an above-geometry level course as an application of completing the square or algebraic properties of circles
Classroom Considerations
- Learners must be comfortable applying completing the square techniques
- Student worksheet not separated from teacher notes and answer key
Pros
- High degree of mathematical rigor
- Unique application of algebraic methods to a geometric situation
Cons
- Completing the square performed without example of any intermediate steps
- A HIGH level of abstract thought is required without much support.