Wyoming Math 5.NF.6
The Standard
Solve real-world problems involving multiplication of fractions and mixed numbers by using visual fraction models or equations to represent the problem.
2023 Wyoming Mathematics Content and Performance Standards · Apply and extend previous understandings of multiplication and division to multiply and divide fractions.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students solve word problems by multiplying fractions and mixed numbers. They show what the multiplication means with a drawing or an equation, then give the answer with units.
What Mastery Looks Like
- A student can find two thirds of a recipe that calls for 1 1/2 cups of oats. They draw three equal half-cup sections, select two, and explain why the answer is 1 cup.
Common Misconceptions
- Students may add when a problem asks for a fraction of an amount. When multiplying mixed numbers, some multiply the whole parts and fraction parts separately, leaving out part of the product.
How to Assess It
- Exit ticket: A recipe uses 1 1/2 cups of flour. How much flour is needed for 2/3 of the recipe? Show a drawing or equation and label your answer.
Lesson moves
Ways to Teach It
Cut a paper strip into three half-cup sections; shade two to model 2/3 of 1 1/2 cups.
Ask: Why is 2/3 of 1 1/2 cups 1 cup, not 2 1/6 cups? Draw a model to defend your answer.
Give pairs recipe cards with different amounts; have them match each problem to an equation, a drawing, and an answer card.
Draw a garden bed 1 1/2 meters wide and 2/3 meter long; use a grid to find its area.
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Printable 5.NF.6 Worksheet
A ready-to-print activity worksheet aligned to 5.NF.6, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 5.NF.7c
Solve real-world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions by using visual fractio...
- 5.NF.7
Extend the concept of division to divide unit fractions and whole numbers by using visual fraction models and equations.
- 6.NS.1
Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions by using visual fraction models and equations...
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