CCSS.Math.Content.4.NF.B.4c
The standard
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.
Common Core State Standards for Mathematics
What this standard means
Students need to solve story problems where a fraction is repeated a whole number of times, like 5 groups of 3/8. They should connect the story to an equation, draw a model, and explain the size of the answer, including whether it is more than 1 and between which whole numbers.
Mastery looks like choosing multiplication instead of adding randomly, labeling the model, and giving a reasonable answer in context. Students often get stuck multiplying the denominator too, forgetting units, or giving an improper fraction without checking its size on a number line or model.
Ways to teach it
- Hands-on activity: Give fraction strips and have students build 4 groups of 2/3, then record the matching equation and total.
- Prompt: A recipe uses 3/4 cup of sugar per batch; write and solve for 5 batches, then explain your model.
- Quick assessment: Ask students to solve 6 times 5/8 with a drawing, an equation, and one sentence about its size.
- Real-world connection: Use a snack serving label, such as 2/5 cup per person, to find how much is needed for the class table.
Plan a lesson for CCSS.Math.Content.4.NF.B.4c
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- 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...
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Solve real world problems involving multiplication of fractions and mixed numbers, e.g., by using visual fraction models or equations to represent the problem.