Wyoming Math 5.NF.3
The Standard
Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve word problems involving division of whole numbers leading to answers in the form of fractions or 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 read a fraction such as 3/4 as 3 divided by 4. They share whole-number amounts equally and use a drawing or equation to show each person's share.
What Mastery Looks Like
- A student can show 7 sandwiches shared by 3 people as 7 ÷ 3 = 7/3 = 2 1/3 sandwiches each. Their drawing gives each person the same amount.
Common Misconceptions
- Students may reverse the numbers and write 3 ÷ 4 as 4/3. When the shares are more than one whole, they may leave a remainder of 1 instead of splitting it equally.
How to Assess It
- Five granola bars are shared equally among four hikers. Draw the shares, then write a division equation and each hiker's share as a fraction or mixed number.
Lesson moves
Ways to Teach It
Give groups three paper pizza circles and four plates, then have them cut and share the pizzas equally.
Ask, 'Seven sandwiches are shared by three people. How can a drawing prove that each person gets the same amount?'
Make cards with sharing stories and matching division equations; have pairs match them and write each share as a fraction.
Measure a 5-foot string, mark two equal pieces for gift wrapping, and write the length of each piece as a mixed number.
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Printable 5.NF.3 Worksheet
A ready-to-print activity worksheet aligned to 5.NF.3, 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...
- 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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