## Common Core State Standards for Mathematics

Grade(s) 5 resources related to the following standard:
Number and Operations—Fractions
Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
4. Apply and extend previous understandings of multiplication to multiply a fraction or whole number by a fraction.
a. Interpret the product (a/b) × q as a parts of a partition of q into b equal parts; equivalently, as the result of a sequence of operations a × q ÷ b. For example, use a visual fraction model to show (2/3) × 4 = 8/3, and create a story context for this equation. Do the same with (2/3) × (4/5) = 8/15. (In general, (a/b) × (c/d) = ac/bd.)

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This problem, based on the story of Goldilocks and the Three Bears, provides a context for children to apply ratio and proportion concepts as well as fraction computation skills. Using the given size relationships among the bears, solvers determine the sizes of various objects in the bears' house. The Teachers' Notes page offers suggestions for implementation, key questions, ideas for extension and support, a printable pdf of the problem, and links to related problems.
Activity
This progressions document from the Common Core Standards Writing team explains how fractions are incorporated in the standards from third grade through fifth grade. Each grade level includes an explanation, important vocabulary, and illustrations.
Instructional Strategy, Reference Materials