After you have explored the Shaded/Unshaded Circles problem, answer the following questions:
- How would you explain your thinking to someone who had little experience with ratios?
- This problem is an example of a rich mathematical task in that it allows for a variety of strategies for comparing the ratios. Describe two strategies that you could use to compare ratios.
- How would a written explanation of your thinking differ from an oral explanation? (As a hint, consider what would be involved in describing the problem and your process to someone on the telephone.)
- What are the important mathematical ideas about fractions embedded in this problem?
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