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Arrange students in groups of 2. Introduce the context of two classes voting on whether to answer math questions in the form of poetry. Use Co-Craft Questions to orient students to the context, and elicit possible mathematical questions.
Give groups 2–3 minutes to answer the question, and follow that with a whole-class discussion.
Two sixth-grade classes, A and B, voted on whether to give the answers to their math problems in the form of poetry. The “yes” choice was more popular in both classes.
Was one class more in favor of math poetry, or were they equally in favor? Find 2 or more ways to answer the question.
| yes | no | |
|---|---|---|
| class A | 24 | 16 |
| class B | 18 | 9 |
If students compare only the yes votes rather than reasoning about ratios, or if they compare additively (by finding the differences between the yes votes and no votes) rather than comparing multiplicatively, consider using ratios that are more extreme to illustrate the issues. For instance:
The goal of the discussion is to connect the idea of voting to rate comparisons. Students should recognize that the situation is mathematically the same as other rate comparison problems, such as comparing the tastes or colors of two mixtures.
Invite several students to present different methods. If no students compare the ratio of yes votes to all votes or use percentages, be sure to present such solutions.
If students struggle with approaching this problem without knowing the number of people in the town, consider asking: