Wyoming Math 6.NS.1
The Standard
Interpret and compute quotients of fractions, and solve word problems involving division of fractions by fractions by using visual fraction models and equations to represent the problem.
2023 Wyoming Mathematics Content and Performance Standards · Apply and extend previous understandings of multiplication and division to divide fractions by fractions.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Use fraction bars or drawings to show how many groups of one fraction fit in another. Write a matching division equation for a word problem and explain what the answer counts.
What Mastery Looks Like
- For 3/4 ÷ 1/8, a student marks six eighths in 3/4 and gets 6. They can solve a word problem with an equation and check the answer against a drawing.
Common Misconceptions
- Students may multiply the fractions instead of dividing, or flip the first fraction when using reciprocals. They may count pieces in a drawing without checking that the pieces are the same size.
How to Assess It
- Ask: How many 1/6-cup scoops fit in 2/3 cup? Draw a fraction bar, write a division equation, and explain what your answer counts.
Lesson moves
Ways to Teach It
Give pairs paper fraction strips; have them cover 3/4 with 1/8 strips, count the pieces, and write the division equation.
Ask, 'Why does 1/2 ÷ 1/4 equal 2, not 1/8?' Have students draw a bar and explain their reasoning.
Make cards with fraction division equations, bar models, and quotients; students match sets and check each match by multiplication.
Show a recipe using 1/4 cup of oats per serving; ask how many servings 3/4 cup makes, using a sketch and equation.
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Printable 6.NS.1 Worksheet
A ready-to-print activity worksheet aligned to 6.NS.1, with an answer key for the teacher on its own page. No account needed.
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Related Standards
- 5.NF.6
Solve real-world problems involving multiplication of fractions and mixed numbers by using visual fraction models or equations to represent the problem.
- 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.3
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 i...
- 5.NF.7
Extend the concept of division to divide unit fractions and whole numbers by using visual fraction models and equations.
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