Making Math Matter: Multiplication of a Whole Number by a Fraction

Learning Resource Type

Classroom Resource

Subject Area

Mathematics

Grade(s)

4, 5

Overview

In this video, teachers will learn classroom strategies for teaching how to multiply a whole number by a fraction in this professional development video from Making Math Matter.

Mathematics (2019) Grade(s): 4

MA19.4.16

Apply and extend previous understandings of multiplication to multiply a whole number times a fraction.

UP:MA19.4.16

Vocabulary

  • Whole number
  • Fraction
  • Non-unit fraction
  • Unit fraction
  • Fraction less than one
  • Fraction greater than one
  • Visual fraction model
  • Equation
  • Decompose
  • Recompose
  • Compose

Knowledge

Students know:
  • Models or equations to represent multiplication situations.
  • The fraction a/b is equivalent to the unit fraction 1/b being iterated or "copied" the number of times indicated by the numerator, a.

Skills

Students are able to:
  • Model and explain how a non-unit fraction can be expressed as multiplication.
  • Multiply a whole number times any fraction less than one.
  • Solve word problems involving a whole number times a fraction using a visual fraction model and equation to represent the problem.

Understanding

Students understand that:
  • Previous work involving multiplication with whole numbers can be extended to fractions in showing multiplication as putting together equal-sized fractional groups.
  • Problem solving situations involving multiplication of a whole number times a fraction can be solved using a variety of strategies, models, and representations.
Mathematics (2019) Grade(s): 5

MA19.5.12

Apply and extend previous understandings of multiplication to find the product of a fraction times a whole number or a fraction times a fraction.

UP:MA19.5.12

Vocabulary

  • Fraction
  • Fraction model
  • Whole number
  • Area
  • Area model
  • Linear model
  • Set model
  • Tiling
  • Unit squares
  • Equation

Knowledge

Students know:
  • How to write an equation involving repeated addition with fractions as a multiplication equation of a whole number times the fraction.
    Example: 2/9 + 2/9 + 2/9 + 2/9 = 4 x 2/9 = 8/9.
  • The relationship of partial products to an area model when multiplying by two whole numbers.
  • Area of a rectangle is determined by multiplying side lengths and is found in square units.

Skills

Students are able to:
  • Use previous understandings of multiplication to
  • 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.

Understanding

Students understand that:
  • Any whole number can be written as a fraction.
  • The general rule for multiplication involving fractions can be justified through visual models.
  • A variety of contextual situations can be represented by multiplication involving fractions.
  • Tiling with unit squares can be used to find the area of a rectangle with fractional side lengths.

CR Resource Type

Audio/Video

Resource Provider

PBS

License Type

CUSTOM
https://aptv.pbslearningmedia.org/resource/e98e8ff0-38fd-46dd-a575-3523c0f43328…

Custom License Type (URL)

https://aptv.pbslearningmedia.org/help/terms-of-use/

Approved Date

ALSDE LOGO

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