Making Math Matter: Multiply a Fraction by a Fraction

Learning Resource Type

Classroom Resource

Subject Area

Mathematics

Grade(s)

5

Overview

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

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.
Mathematics (2019) Grade(s): 5

MA19.5.14

Model and solve real-world problems involving multiplication of fractions and mixed numbers using visual fraction models, drawings, or equations to represent the problem.

UP:MA19.5.14

Vocabulary

  • Fraction
  • Models
  • Mixed number
  • Multiplication

Knowledge

Students know:
  • Contextual situations for multiplication.
  • How to use an area model to illustrate the product of two whole numbers and its relationship to partial products and extend this knowledge to illustrate products involving fractions and mixed numbers.

Skills

Students are able to:
  • Solve real-word problems involving multiplication of fractions and mixed numbers.
  • Write equations to represent the word situation.
  • Use visual fraction models to represent the problem.

Understanding

Students understand that:
  • A variety of strategies are used to model and solve problems that provide a context for multiplying fractions and mixed numbers.
  • Solutions are interpreted based on the meaning of the quantities and the context of the problem situation.

CR Resource Type

Audio/Video

Resource Provider

PBS

License Type

CUSTOM
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