5.NF.3 - About the Math, Learning Targets, and Rigor

Grade 5 Fractions

5.NF.3

Full Standard

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 in the form of fractions or mixed numbers (e.g., by using visual fraction models or equations to represent the problem). For example, interpret 3/4 as the result of dividing 3 by 4, noting that 3/4 multiplied by 4 equals 3, and that when 3 wholes are shared equally among 4 people each person has a share of size 3/4. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? Between what two whole numbers does your answer lie?

 

Measurement Topic

This standard is reported on the report card in these quarters as follows:

5th Grade Students Learning 5th Grade Standards
Quarter 1 Quarter 2 Quarter 3 Quarter 4

Report Card Measurement Topic: Demonstrates understanding of number, fraction, and decimal concepts.

 

  
4th Grade Students Learning 5th Grade Standards
Quarter 1 Quarter 2 Quarter 3 Quarter 4

Report Card Measurement Topic: Demonstrates understanding of division.

 

 

 

Learning Targets (I can)

  • Explain that fractions represent division with representations (i.e. 3 hoagies shared by 4 people is 3/4 of a hoagie per person)
  • Represent word problems that involve division of whole numbers.
  • Write an equation for a word problem (i.e. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? 50 ÷ 9 = ? or 50/9 = ?)
  • Represent and explain a remainder as a fraction. 

 

About the Math

When fractions represent division, the denominator acts as the divisor and the numerator is the multiplier. This means that 3/4 is three times what you get when you divide a whole into four parts. So if you were to divide 3 pancakes among 4 people ( 3 ÷ 4), each person would get 3 pieces or 3/4 of a pancake. Students need to understand that numerator is the same as the dividend and denominator is the same as the divisor. Essential vocabulary for this standard includes: mixed number, improper fraction, dividend, divisor, quotient, numerator, and denominator. Visit the online dictionary Links to an external site. or visual math dictionary Links to an external site. for vocabulary support.

 

Progression of Standard within Grade 5

This progression informs how to develop the standard within the grade level. This progression is provided by HCPSS Elementary Mathematics.

Progression Throughout Year
Quarter 1 Quarter 2 Quarter 3 Quarter 4
  • Explain that fractions represent division with representations (i.e. 3 hoagies shared by 4 people is 3/4 of a hoagie per person)
  • Represent word problems that involve division of whole numbers.
  • Write an equation for a word problem (i.e. If 9 people want to share a 50-pound sack of rice equally by weight, how many pounds of rice should each person get? 50 ÷ 9 = ? or 50/9 = ?)
  • Represent and explain a remainder as a fraction. 

 

    

 

Progression of this Standard Across Grades

This progression is informed by the Achieve the Core Coherence Map Links to an external site.. Information is not the complete standard.

Progression Across Grades
Grade 4 Grade 6
  • Multiplicative comparison (4.OA.1)
  • Use the four operations to solve word problems (4.MD.2)
  • Multiply or divide to solve word problems involving multiplicative comparison (4.OA.2)
  • Understand the concept of a unit rate (6.RP.2)

 

 

 

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