Teaching Math: Grades 6-8: Communication


	Exploring Communication


	Introduction \| Problem: Shaded/Unshaded Circles \| Solution: Shaded/Unshaded Circles \| Talking About the Problem \| Representing Fractions with Rods \| Other Denominators \| Modeling Operations \| Try It Yourself: Cuisenaire Rods \| Problem Reflection \| Summary \| Your Journal

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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