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
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students decide when a situation calls for multiplying fractions or mixed numbers. They represent the situation with a diagram and equation, find the product, and interpret it in context.
What Mastery Looks Like
- Students choose multiplication from the situation without relying only on key words. They draw an accurate model, calculate correctly, label the answer, and explain why its size makes sense.
Common Misconceptions
- Students may multiply whole-number and fraction parts separately, or add numerators and denominators. They may also assume multiplication always makes a number larger or ignore units in the answer.
How to Assess It
- Give this exit ticket: “A recipe uses 2 1/2 cups of flour per batch. How much flour is needed for 3/4 of a batch?” Require a model, equation, and answer.
Lesson moves
Ways to Teach It
Use fraction strips to model 2/3 of 1 1/2, then write an equation that matches the model.
Ask students to explain why 3/4 times 2 must be less than 2, using words, numbers, or a sketch.
Play problem-match cards where students pair situation cards with the correct fraction multiplication equation and product.
Scale a simple recipe to make half, three-fourths, or one and one-half batches, then compare the ingredient amounts.
Free download
Printable 5.NF.B.6 Worksheet
A ready-to-print activity worksheet aligned to CCSS.Math.Content.5.NF.B.6, with an answer key for the teacher on its own page. No account needed.
PDF, US Letter, prints cleanly in black and white.
Download the worksheetLearning progression
Where This Standard Sits
See the whole path on the Number & Operations: Fractions progression map.
Before This Standard
If students are struggling here, check these first.
- CCSS.Math.Content.4.NF.B.4c
Students extend representing fraction multiplication in word problems from fraction times whole number to fraction times fraction or mixed number.
- CCSS.Math.Content.5.NF.B.4
Students must understand fraction multiplication and models before representing and solving real world fraction and mixed number multiplication problems.
- CCSS.Math.Content.5.NF.B.5
Understanding multiplication as resizing helps students choose and interpret fraction multiplication equations in real world situations.
Keep exploring
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.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 ...
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