Georgia 5.NR.3.1
The Standard
Explain the meaning of a fraction as division of the numerator by the denominator (a/b = a ÷ b). Solve problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers.
Georgia's K-12 Mathematics Standards · Describe fractions and perform operations with fractions to solve relevant, mathematical problems using part-whole strategies and visual models.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students connect a fraction to a division situation, such as sharing 7 pizzas equally among 4 people. They solve whole-number division problems whose quotients are fractions or mixed numbers. They use drawings or models to explain the result.
What Mastery Looks Like
- A student can represent a sharing problem with an equation and a visual model. The student gives the quotient as a fraction or mixed number and explains what each part represents.
Common Misconceptions
- Students may reverse the numerator and denominator, writing 4/7 for 7 shared among 4 people. They may report only the remainder instead of expressing the result as a fraction or mixed number. Some think a fractional answer means the division cannot be completed.
How to Assess It
- Exit ticket: “Five friends share 13 granola bars equally. How much does each friend receive? Show a fraction or mixed number and explain your answer.”
Lesson moves
Ways to Teach It
Give pairs 7 paper pizzas and 4 plates, then have them divide the pizzas equally and label each share.
Ask students to explain why 9 shared equally among 4 people gives each person 9/4, or 2 1/4.
Play a matching game using whole-number division cards, fraction cards, mixed-number cards, and picture models.
Plan how 11 feet of ribbon can be cut equally for 3 gift baskets, then state each ribbon length.
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Printable 5.NR.3.1 Worksheet
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Related Standards
- 5.NR.3.4
Model and solve problems involving multiplication of a fraction and a whole number.
- 5.NR.3
Describe fractions and perform operations with fractions to solve relevant, mathematical problems using part-whole strategies and visual models.
- 5.NR.3.6
Model and solve problems involving division of a unit fraction by a whole number and a whole number by a unit fraction.
- 7.NR.1.10
Convert rational numbers between forms to include fractions, decimal numbers and percentages, using understanding of the part divided by the whole. Know that th...
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