ALEX Classroom Resource

  

Whole Numbers and Unit Fractions

  Classroom Resource Information  

Title:

 Whole Numbers and Unit Fractions

URL:

 https://aptv.pbslearningmedia.org/resource/8471b2b7-9d0c-46f0-8874-dcd53cb2fdc0/mathematics-grade-5-number-and-operations-fractions-5nfb7ab/

Content Source:

 PBS
Type: Interactive/Game

Overview:

In this interactive lesson, students will apply and extend previous understandings of division to divide unit fractions by whole numbers and whole numbers by unit fractions. They will also interpret the division of a unit fraction by a non-zero whole number, compute such quotients and interpret the division of a whole number by a unit fraction, and compute such quotients.

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: denominator, division, fraction, numerator, 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
AccessibilityText Resources: Content is organized under headings and subheadings
Comments
  This resource provided by:  
Author: Stephanie Carver
This site may contain links to other websites or content belonging to or originating from third parties or links to websites and features in banners or other advertising. Such external links are not investigated, monitored, or checked for accuracy, adequacy, validity, reliability, availability, or completeness by us. WE DO NOT WARRANT, ENDORSE, GUARANTEE, OR ASSUME RESPONSIBILITY FOR THE ACCURACY OR RELIABILITY OF ANY INFORMATION OFFERED BY THIRD-PARTY WEBSITES LINKED THROUGH THIS SITE.
Copyright © 2017, Alabama Learning Exchange
Alabama State Department of Education
Alabama State Department of Education