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This Circles and Squares assessment also includes:
Squares, and circles ... and squares, and more circles. In this high school assessment task, pupils investigate the ratio of areas of two squares that are circumscribed and inscribed in a circle. They then determine the ratio of the area of two circles circumscribed and inscribed in a square.
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Instructional Ideas
- Consider having learners construct the diagram with a compass and straightedge
Classroom Considerations
- While the task is aligned to eighth-grade geometry standards, the task is intended for high school classes
- Learners must have knowledge of the Pythagorean Theorem, of inscribed and circumscribed circles, and of ratios
Pros
- Rubric allows for multiple approaches
- Simple mathematical context makes this a great, universal resource for all learners
Cons
- The diagram is not exact