Wyoming Math 5.NF.7c
The Standard
Extend the concept of division to divide unit fractions and whole numbers by using visual fraction models and equations. 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 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 multiply and divide fractions.
Teacher's field guide
What This Standard Means
What Students Need to Do
- Students divide a unit fraction into equal shares and count how many unit-fraction portions fit in a whole number. They draw fraction models and write equations for both kinds of problems.
What Mastery Looks Like
- A student can show that half a cup shared by two people gives each person one-fourth cup. They can also show that two cups contain four half-cup portions, then write the matching equations.
Common Misconceptions
- Students may multiply instead of divide, saying one-half shared by two is one whole. They may think dividing by one-half makes a number smaller, so they answer one instead of four for two divided by one-half.
How to Assess It
- On an exit ticket, ask: 'Share one-half cup of juice equally between two people. Then find how many half-cup portions fit in two cups.' Require a drawing and an equation for each answer.
Lesson moves
Ways to Teach It
Have students fold a half-sheet of paper into three equal parts, then label each part and write one-half divided by three.
Ask, 'A student says two divided by one-fourth equals one-half.' Have partners draw strips and explain whether the student is right.
Give pairs cards showing equations, answers, and fraction strips; have them match cards for one-fourth divided by two and two divided by one-fourth.
Give students a recipe using one-fourth cup of oats per serving; ask how many servings three cups make and have them draw cup models.
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Printable 5.NF.7c Worksheet
A ready-to-print activity worksheet aligned to 5.NF.7c, 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.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.
- 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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