Learning Resource Type

Classroom Resource

Addition of Fractions Using a Visual Model

Subject Area

Mathematics

Grade(s)

4

Overview

Use a visual model to add fractions with like and unlike denominators. This video focuses on using an equivalent fractions chart to compare fractions and find the correct sum.

    Mathematics (2019) Grade(s): 4

    MA19.4.15

    Model and justify decompositions of fractions and explain addition and subtraction of fractions as joining or separating parts referring to the same whole.

    Unpacked Content

    UP:MA19.4.15

    Vocabulary

    • Decomposition
    • Unit fraction
    • Area model
    • Length model
    • Equation
    • Mixed number
    • Visual fraction model
    • Whole
    • Sum
    • Difference
    • Recomposition

    Knowledge

    Students know:
    • Situation contexts for addition and subtraction problems.
    • A variety of strategies and models to represent addition and subtraction 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.
    • A fraction can represent a whole number or fraction greater than 1 and can be illustrated by decomposing the fraction.
      Example: 6/3 = 3/3 + 3/3 = 2 and 5/3 = 3/3 + 2/3 = 1 2/3.

    Skills

    Students are able to:
    • Decompose fractions as a sum of unit fractions.
    • Model decomposition of fractions as a sum of unit fractions.
    • Add and subtract fractions with like denominators using properties of operations and the relationship between addition and subtraction.
    • Solve word problems involving addition and subtraction using visual models, drawings, and equations to represent the problem.

    Understanding

    Students understand that:
    • A unit fraction (1/b) names the size of the unit with respect to the whole and that the denominator tells the number of parts the whole is partitioned, and the numerator indicates the number of parts referenced.
    • A variety of models and strategies can be used to represent and solve word situations involving addition and subtraction.
    • The operations of addition and subtraction are performed with quantities expressed in like units, and the sum or difference retains the same unit.
    Link to Resource

    CR Resource Type

    Audio/Video

    Resource Provider

    PBS
    Accessibility

    Accessibility

    Video resources: includes closed captioning or subtitles
    License

    License Type

    Custom
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