MAT-05.NF.07

MAT-05 Targeted Standards
(NF) Domain: Number and Operations - Fractions
Cluster: Apply and extend previous understandings of multiplication and division to multiply and divide fractions.

MAT-05.NF.07 Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions

a) Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4 and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) x 4 = 1/3.

b) Interpret division of a whole number by a unit fraction, and compute such quotients. For example, create a story context for 4 ÷ (1/5), and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that ÷ (1/5) = 20 because 20 x (1/5) = 4.

c) Interpret division of a unit fraction by a non-zero whole number, and compute such quotients. For example, create a story context for (1/3) ÷ 4 and use a visual fraction model to show the quotient. Use the relationship between multiplication and division to explain that (1/3) ÷ 4 = 1/12 because (1/12) x 4 = 1/3.

Student Learning Targets:

Knowledge Targets

Reasoning Targets

Skills (Performance) Targets

  • I can solve real world problems involving division of unit fractions by whole numbers and whole numbers by unit fractions.
  • I can solve real world problems by dividing whole numbers that result in quotients that are mixed numbers.
  • I can solve real world problems by dividing whole numbers that result in quotients that are fractions.
  • I can use visual fraction models or equations to represent the problem

Product Targets

 

Rubric / Proficiency Scale

Score   Description Sample Activity
4.0

Advanced Criteria is Under Development.

In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content.

-
  3.5 In addition to Score 3.0 performance, the student demonstrates in-depth inferences and applications regarding the more complex content with partial success.
3.0

Student is able to divide unit fractions by whole numbers and whole numbers by unit fractions in order to solve word problems.

I can solve real world problems by dividing unit fraction by whole numbers and whole numbers by unit fractions.

I can use visual fraction models or equations to represent the problem.

1/3 of a pie shared by 3 friends. How much of the whole pie did each eat?

6 feet of carpet cut into pieces, each 1/3 of a foot long. How many pieces will we have?

  2.5 No major errors or emissions regarding 2.0 content and partial knowledge of the 3.0 content.
2.0

Student is able to divide whole numbers to solve word problems that result in quotients that are mixed numbers.

I can solve real world problems by dividing whole numbers that result in quotients that are mixed numbers.

I can use visual fraction models or equations to represent the problem.

5 pizzas shared by 3 people. How much pizza does each get?
  1.5 In addition to 1.0 content, student has partial knowledge of the 2.0 and/or 3.0 content.
1.0

Student is able to divide whole numbers to solve word problems that result in quotients that are fractions but may exhibit errors.

I can solve real world problems by dividing whole numbers that result in quotients that are fractions.

I can use visual fraction models or equations to represent the problem.

4 sandwiches shared by 8 people? How much of a sandwich will each person get?
  0.5 Limited or no understanding of the skill is demonstrated.

Resources

Websites

Vocabulary

  • fraction
  • numerator
  • denominator
  • mixed number
  • unit fraction
  • operations
  • multiply
  • divide
  • product
  • factor
  • quotient
  • equal parts
  • equivalent
  • area
  • side lengths
  • fractional sides

 

» Fifth Grade Math