ALEX Classroom Resource

  

Dividing a Whole Number by a Unit Fraction

  Classroom Resource Information  

Title:

 Dividing a Whole Number by a Unit Fraction

URL:

 https://mpb.pbslearningmedia.org/resource/mgbh.math.nf.divfrac/dividing-a-whole-number-by-a-unit-fraction/

Content Source:

 PBS
Type: Audio/Video

Overview:

Explore division by modeling problems and grouping them with manipulatives. This video focuses on dividing whole numbers by unit fractions and modeling the problems with unit blocks. 

Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 5
15. Apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions.

a. Solve real-world problems involving division of unit fractions by non-zero whole numbers and division of whole numbers by unit fractions and illustrate using visual fraction models, drawings, and equations to represent the problem.

b. Create a story context for a unit fraction divided by a whole number, and use a visual fraction model to show the quotient.

c. Create a story context for a whole number divided by a unit fraction, and use a visual fraction model to show the quotient.
Unpacked Content
Evidence Of Student Attainment:
Students:
  • Solve real-world problems involving division of a unit fraction by a non-zero whole number, or division of a whole number by a unit fraction.
  • Justify solutions using visual models, drawings, and equations to represent the problem context.
  • Explain quotients using the relationship between multiplication and division.
  • Create a story context for a unit fraction divided by a whole number and use models to illustrate the quotient.
  • Create a story context for a whole number divided by a unit fraction and use models to illustrate the quotient.
Teacher Vocabulary:
  • Unit fraction
  • Whole number
  • Division
  • Dividend
  • Divisor
  • Quotient
  • Equation
  • Multiplication
  • Factor
  • Fraction models
Knowledge:
Students know:
  • Contextual situations involving division with whole numbers and unit fractions.
  • Strategies for representing a division problem with a visual model.
Skills:
Students are able to:
  • Use previous understandings of operations to
  • Divide unit fractions by a whole number and whole numbers by unit fractions.
  • Use visual models to illustrate quotients.
  • Create story contexts for division.
  • Use the relationship between multiplication and division to explain quotients.
Understanding:
Students understand that:
  • A variety of contextual situations are represented with division of a whole number by a fraction or a fraction by a whole number.
  • Quotients resulting from division of a whole number by a fraction or a fraction by a whole number can be illustrated and justified with a visual model.
  • The relationship between multiplication and division can be used to justify quotients resulting from division of a whole number by a fraction or a fraction by a whole number.
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
M.5.15.1: Define quotient.
M.5.15.2: Multiply a fraction by a whole number.
M.5.15.3: Recognize key terms to solve word problems.
Examples: times, every, at this rate, each, per, equal/equally, in all, total.
M.5.15.4: Recall basic multiplication and division facts.
M.5.15.5: Express whole numbers as fractions.
M.5.15.6: Recognize fractions that are equivalent to whole numbers.
M.5.15.7: Recall basic multiplication and division facts.
M.5.15.8: Solve word problems involving multiplication of a fraction by a whole number.
M.5.15.9: Recognize key terms to solve word problems.
M.5.15.10: Recall basic multiplication and division facts.

Prior Knowledge Skills:
  • Find products of a fraction times a whole number and products of a fraction times a fraction.
  • Use area models, linear models or set models to represent products.
  • Create a story context to represent equations (a/b) × q and (a/b) × (c/d) to interpret products.
  • Find area of rectangles with fractional side lengths and represent products as rectangular areas.
  • Find the area of a rectangle by tiling the area of a rectangle with unit squares.
Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.5.15 Use a model to solve dividing a whole number by a unit fraction of 1/2.
Tags: divide, division, unit fraction
License Type: Custom Permission Type
See Terms: https://mpb.pbslearningmedia.org/help/terms-of-use/
For full descriptions of license types and a guide to usage, visit :
https://creativecommons.org/licenses
AccessibilityVideo resources: includes closed captioning or subtitles
Comments
  This resource provided by:  
Author: Stephanie Carver
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