Study Island
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|Math Topic: Solve Unit Rate Problems |Grade Level: 6 |
|Standard: 6.RP.A.3.B |Task Depth of Knowledge: 3 |
|Activity Duration: 40-50 minute class period |Audience: small group/whole class |
|Resources Needed: writing utensils and paper, board, actual ingredients (optional) |
|Primary Mathematical Practice Target: |
|Math Practice Standard 3 |
|Construct viable arguments and critique the reasoning of others. |
|Secondary Mathematical Practice Target(s): |
|Math Practice Standard 1 – Make sense of problems and persevere in solving them. |
|Task Description |
|Students will learn how to use unit rates to keep a recipe in proportion for a smaller or larger quantity. Students will also make customary |
|unit conversions using ratios. In small groups, students will analyze the problem, look for entry points to efficiently solve the task, and |
|construct a chain of reasoning to justify their solution pathway. Students will distinguish correct reasoning from flawed logic. Students will|
|clearly and precisely construct viable arguments to support their own reasoning. |
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|Task Timeline |
|Small group discussion (35 min): Students discuss and answer questions. |
|Whole class discussion (15 min): Teacher leads class in discussion of their reasoning and responses. |
| Task Procedures |
|Teacher presents recipe for cinnamon rolls. Recipe can be presented or printed out for each group. |
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|Cinnamon Rolls (for 12 rolls) |
|1/2 cup milk |
|1/4 cup sugar |
|1/3 cup butter |
|1 teaspoon salt |
|1 egg |
|3 1/2 cups flour |
|1 teaspoon vanilla extract |
|2 tablespoons cinnamon |
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|Optional - teacher provides actual current ingredients (such as bag of flour, box of salt, bottle of vanilla extract, etc.). At least some |
|quantity of each ingredient must be provided for each listed ingredient. Students can estimate as a class the amount of each ingredient, |
|rounded to an appropriate fraction of an amount. Estimated amounts should be written on the board for the class to refer to. |
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|Teacher presents current stock of ingredients. |
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|Current Stock |
|¾ quart milk |
|10 ounces sugar |
|8 ounces butter |
|8 ounces salt |
|6 eggs |
|112 ounces flour |
|4 ounces vanilla extract |
|6 ounces cinnamon |
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|Optional, key conversions: |
|32 ounces = 1 quart |
|3 teaspoons = 1 tablespoon |
|6 teaspoons = 1 ounce |
|8 ounces = 1 cup |
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|Students will work on the problems below as a group. |
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|“The most number of cinnamon rolls that can be made with the current stock of ingredients is determined by the amount of vanilla extract in |
|the current stock, because there is less vanilla extract than any other ingredient.” |
|Explain whether your group agrees with the statement or not. Justify your reasoning. |
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|How many cinnamon rolls can be made? How much of each ingredient would be used to make this number of cinnamon rolls? Justify your answer |
|using ratios. |
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|As a class, groups share and discuss how they responded to each question. |
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