5.NF.6 - About the Math, Learning Targets, and Rigor

Grade 5 Fractions

5.NF.6

Full Standard

Solve real world problems involving multiplication of fractions and mixed numbers (e.g., by using visual fraction models or equations to represent the problem).

 

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 multiplication and division of different number types.

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

 

Report Card Measurement Topic: Demonstrates understanding of multiplication.

 

 

Learning Targets (I can)

  • Represent word problems that multiply fractions and mixed numbers with physical models, drawings, and number lines.
  • Write equations for word problems that multiply fractions and mixed numbers.
  • Solve problems that multiply fractions and mixed numbers.
  • Determine reasonableness of solutions to word problems that multiply fractions and mixed numbers using the context of the word problem (does this make sense in the problem?).

 

About the Math

Solving word problems with addition, subtraction, multiplication and division of fractions follow the same problem solving structures for whole number situations.

  • Represent word problems that multiply fractions and mixed numbers with physical models, drawings, and number lines.
  • Solve problems that multiply fractions and mixed numbers.

These word problems should represent the various problem-solving structures linked above. Students should diagram and represent problems to connect to their equations. Students should not rely on key words for finding solutions.

  • Write equations for word problems that multiply fractions and mixed numbers.

Pictures and diagrams are useful for understanding problems. Students should connect them to equations. Students should then connect their equations back to the problem. In time, when appropriate, students should generate and use equations to solve their problems. Students can resort back to pictures and diagrams as needed. 

  • Determine reasonableness of solutions to word problems that multiply fractions and mixed numbers using the context of the word problem (does this make sense in the problem?).

Students can determine reasonableness in a variety of ways. Doing so takes a good bit of time and experience. Predicting and estimating results for comparison helps students develop a sense of reasonableness. Other strategies, including reflective self-questions, help as well. Teacher modeling and teacher self-talk help students understand the questions and thoughts they should consider. 

 

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
 
  • Represent word problems that multiply fractions and mixed numbers with physical models, drawings, and number lines.
  • Write equations for word problems that multiply fractions and mixed numbers.
  • Solve problems that multiply fractions and mixed numbers.
  • Determine reasonableness of solutions to word problems that multiply fractions and mixed numbers using the context of the word problem (does this make sense in the problem?).

 

 

 

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
  • Use the four operations to solve word problems (4.MD.2)
  • Multiplicative comparison (4.OA.1)
  • Multiply or divide to solve word problems involving multiplicative comparison (4.OA.2)
  • Recognizing statistical questions (6.SP.1) 
  • Distribution of data (6.SP.2)
  • Display data in plots on number lines, dot plots, histograms, and box plots (6.SP.4)

 

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