ALEX Classroom Resource

  

Relationship of Division and Fractions

  Classroom Resource Information  

Title:

Relationship of Division and Fractions

URL:

https://aptv.pbslearningmedia.org/resource/mgbh.math.nf.divandfrac/relationship-of-division-and-fractions/

Content Source:

PBS
Type: Audio/Video

Overview:

Explore the connection between division and fractions while dividing up cookies. This video focuses on recognizing patterns when modeling dividing up cookies to share with people.

Content Standard(s):
Mathematics
MA2019 (2019)
Grade: 5
11. Solve word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers.

a. Model and interpret a fraction as division of the numerator by the denominator (a/b= a รท b)

b. Use visual fraction models, drawings, or equations to represent word problems involving division of whole numbers leading to answers in the form of fractions or mixed numbers
Unpacked Content
Evidence Of Student Attainment:
Students:
  • Solve problems involving division of whole numbers leading to quotients of a fraction or mixed number.

  • Example: Given that 3 cookies are shared equally with 6 people, find what fraction of the cookies each person receives. Each person receives 3/6 of a cookie or 1/2 of a cookie.
    Example: Given that 3 cookies are shared equally with 2 people, find what fraction of the cookies each person receives. Each person receives 3/2 cookies or 1 1/2 cookies.
  • Model and interpret a fraction as division.
  • Use models, drawings, or equations to represent word problems.
Teacher Vocabulary:
  • Fraction
  • Numerator
  • Denominator
  • Division
  • Remainder
  • Dividend
  • Divisor
Knowledge:
Students know:
  • Contextual situations for division.
  • Strategies to equipartition.
Skills:
Students are able to:
  • Solve word problems involving division of whole numbers leading to quotients with fractions.
  • Use fraction models, drawings, equations to represent word problems.
  • Model and interpret a fraction as division.
Understanding:
Students understand that:
  • a ÷ b is a division expression and can be written as a/b showing division of the numerator by the denominator (including cases where the value of a < b).
Diverse Learning Needs:
Essential Skills:
Learning Objectives:
M.5.11.1: Define a mixed number.
M.5.11.2: Generate equivalent fractions.
M.5.11.3: Recognize a fraction as a number on the number line; represent fractions on a number line diagram.

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.

Alabama Alternate Achievement Standards
AAS Standard:
M.AAS.5.11 Using vocalization, sign language, augmentative communication or assistive technology, identify models of thirds (e.g., 1/3. 2/3, 3/3) and tenths (e.g., 1/10, 2/10, 3/10, 4/10, 5/10, 6/10, 7/10, 8/10, 9/10, 10/10).


Tags: concrete model, divide, dividing, division, equal parts, fraction
License Type: Custom Permission Type
See Terms: https://aptv.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
Alabama State Department of Education