NY Next Generation Math NY-5.NF.7.c

Math5th GradeApply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.

The Standard

Solve real-world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions.

New York State Next Generation Mathematics Learning Standards

Teacher's field guide

What Students Need to Do: Students solve real-world problems that divide a unit fraction by a nonzero whole number or divide a whole number by a unit fraction. They interpret each quotient in context.
What Mastery Looks Like: The student chooses the correct division order, models it, and computes accurately. The student labels the quotient and explains what one group or share represents.
Common Misconceptions: Students may reverse the dividend and divisor because both numbers appear in the story. They may assume division always makes a quantity smaller.
How to Assess It: Ask students to determine how many one-third-meter pieces can be cut from 4 meters of ribbon. Require a model, equation, and labeled answer.

Lesson moves

Use paper strips to model sharing 1/2 meter among three students and cutting 3 meters into one-half-meter pieces.
Ask students how context reveals whether a unit fraction or whole number is being divided.
Play Story Sort by matching division contexts to unit-fraction-by-whole and whole-by-unit-fraction equations.
Determine how many quarter-cup servings fit in 5 cups of soup.

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