Georgia 5.NR.3.6
The Standard
Model and solve problems involving division of a unit fraction by a whole number and a whole number by a unit fraction.
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 use pictures, objects, and equations to divide a unit fraction into equal shares or count unit-fraction groups within a whole number. They solve word problems and explain what the quotient means.
What Mastery Looks Like
- Students draw accurate fraction bars, number lines, or group models for both division situations. They find the quotient and explain whether they counted unit-fraction groups or shared one unit fraction equally.
Common Misconceptions
- Students may treat both division orders as the same, even though 4 ÷ 1/3 differs from 1/3 ÷ 4. They may multiply denominators without connecting the calculation to equal groups or sharing.
How to Assess It
- Give students 3 ÷ 1/4 and 1/4 ÷ 3. Ask them to draw a model, find each quotient, and explain why the answers differ.
Lesson moves
Ways to Teach It
Give pairs fraction strips to model 1/2 ÷ 3 and 3 ÷ 1/2, then label each quotient.
Ask students to explain in writing why 5 ÷ 1/4 has an answer greater than 5.
Play a matching game with division expressions, visual models, story problems, and quotients on separate cards.
Use recipes to ask how many quarter-cup servings fill 3 cups, then reverse the situation by sharing one quarter cup among three people.
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Printable 5.NR.3.6 Worksheet
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Related Standards
- 5.NR.3.3
Model and solve problems involving addition and subtraction of fractions and mixed numbers with unlike denominators.
- 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.
- 4.NR.5
Solve real-life problems involving addition, equivalence, comparison of fractions with denominators of 10 and 100, and comparison of decimal numbers as tenths a...
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