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.

Student Language:

"I can solve real world problems by multiplying fractions and mixed numbers."

Explanation

About the Math, Learning Targets, and Rigor

This standard uses various strategies to solve word problems involving the multiplication of a fraction by a mixed number. This standard could include fraction by a fraction, fraction by a mixed number or mixed number by a mixed number.

Example

Evan bought 6 roses for his mother, 2/3 of them were red. How many red roses were there?

Resources

Videos

• Khan Academy
  • Scroll to 5.NF.6, click on skill, find videos on left side of each skill
• Learn Zillion

EngageNY Lessons

Extra Practice

• North Carolina Tasks
• Illustrative Math Tasks
• Howard County Tasks
  • Click on 5th grade at bottom, then 5.NF.6
• Common Core Sheets

Released Assessment Questions

PARCC

Common Core State Standards

5.NF.6-1

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

• Tasks do not involve mixed numbers.
• Situations include area and comparison/times as much, with product unknown. (See Table 2, Common multiplication and division situations, p. 89 of CCSS.)
• Prompts do not provide visual fraction models; students may at their discretion draw visual fraction models as a strategy.

STUDENT SAMPLE RESPONSE

5.NF.6-2

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

• Tasks present one or both factors in the form of a mixed number.
• Situations include area and comparison/times as much, with product unknown.
• Prompts do not provide visual fraction models; students may at their discretion draw visual fraction models as a strategy.

STUDENT SAMPLE RESPONSE

Performance Indicators: 5.NF.6-1, 5.NF.6-2

Level 5: Exceeds Expectations

Describes a model to represent and/or solve real-world problems, by multiplying a mixed number by a fraction, a fraction by a fraction and a whole number by a fraction; dividing a fraction by a whole number and a whole number by a fraction using visual fraction models and creating context for the mathematics and equations, including rectangular areas; and interpreting the product and/or quotient.

Level 4: Meets Expectations

Multiplies a fraction or a whole number by a fraction and divides a fraction by a whole number – or whole number by a fraction – using visual fraction models and creating context for the mathematics, including rectangular areas.