CCSS.Math.Content.5.NF.B.6
The standard
Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.
Common Core State Standards for Mathematics · Number and Operations—Fractions
What this standard means
Students need to solve word problems where fractions or mixed numbers are multiplied. They should decide what is being multiplied, write an equation, and use a model or computation to find the answer. Problems often involve parts of groups, scaling, area, recipes, or measurement.
Mastery looks like matching the story to the operation, labeling the answer, and checking if the size makes sense. Students often get stuck choosing multiplication instead of addition, converting mixed numbers, or understanding why multiplying by a fraction can make a smaller product.
Ways to teach it
- Hands-on activity: Give students grid paper and have them shade 2/3 of 3/4 of a rectangle, then write the matching equation.
- Prompt: Ask, “How do you know this story is asking for multiplication, not addition?” after a recipe or measurement problem.
- Quick assessment: Show “1 1/2 bags hold 3/4 pound each” and ask students for an equation, model, and answer.
- Real-world connection: Have students scale a simple snack recipe to make 1/2 batch or 1 1/2 batches.
Plan a lesson for CCSS.Math.Content.5.NF.B.6
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Related standards
- CCSS.Math.Content.6.NS.A.1
Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions, e.g., by using visual fraction models and eq...
- CCSS.Math.Content.4.NF.B.4c
Solve word problems involving multiplication of a fraction by a whole number, e.g., by using visual fraction models and equations to represent the problem.
- CCSS.Math.Content.4.NF.B.3d
Solve word problems involving addition and subtraction of fractions referring to the same whole and having like denominators, e.g., by using visual fraction mod...
- CCSS.Math.Content.5.NF.B.7c
Solve real world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions, e.g., by using visual ...