Maryland Math 5.NOS.D.10
The Standard
Interpret a fraction as division of the numerator by the denominator (a/b = a ÷ b) in context using visual fraction models and equations to represent the problem (e.g., interpret 3/4 as the result of dividing 3 by 4 so when 3 wholes are shared equally among 4 people each person has a share of size 3/4).
Maryland College and Career Ready Standards for Mathematics (2025) · 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 share whole items equally when the amount does not divide evenly. They draw the shares and write a division equation and a fraction for what each person gets.
What Mastery Looks Like
- Given 3 sandwiches shared by 4 children, a student cuts each sandwich into fourths and gives each child 3 pieces. They write 3 ÷ 4 = 3/4 sandwich per child.
Common Misconceptions
- Students may flip the numbers and write 4/3 when 3 pizzas go to 4 people. They may draw unequal pieces or think 3/4 means three pieces shared by everyone.
How to Assess It
- Exit ticket: Three sandwiches are shared equally by four children. Draw the shares, write a division equation and a fraction, and label one child's share.
Lesson moves
Ways to Teach It
Give groups three paper circles and four place mats; cut each circle into fourths and place three pieces on each mat.
Ask: Why does each person get 3/4, not 4/3, when four people share three pizzas? Draw and explain.
Make cards showing 1 ÷ 4, 3 ÷ 4, and 4 ÷ 3; students match each to a fraction card and a drawing.
Present a camp meal with two loaves of bread for five campers; draw equal shares and write 2 ÷ 5 = 2/5 loaf each.
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Printable 5.NOS.D.10 Worksheet
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Related Standards
- 5.NOS.D.16.c
Use visual fraction models and equations to interpret division of a whole number by a unit fraction and compute quotients.
- 5.NOS.D.16.d
Represent and explain the computation by connecting visual fraction models and/or equations to the meaning of division with unit fractions.
- 5.NOS.D.16.b
Use visual fraction models and equations to interpret division of a unit fraction by a non-zero whole number and compute quotients.
- 6.NOS.A.1.c
Represent and explain the calculation by connecting fraction models, and/or equations to the meaning of division.
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