Learning Resource Type

Classroom Resource

Using Recipes to Add Fractions and Convert Improper Fractions to Proper Fractions or Mixed Numbers

Subject Area

Mathematics

Grade(s)

4, 5

Overview

While doubling a cupcake recipe, students practice three ways of doubling fractions using representations, addition, and multiplication. They also convert between improper fractions and mixed numbers.

    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.
    Mathematics (2019) Grade(s): 5

    MA19.5.10

    Add and subtract fractions and mixed numbers with unlike denominators, using fraction equivalence to calculate a sum or difference of fractions or mixed numbers with like denominators.

    Unpacked Content

    UP:MA19.5.10

    Vocabulary

    • Fraction
    • Denominator
    • Numerator
    • Visual Model
    • Sum
    • Difference
    • Equivalence
    • Unlike denominators
    • Unlike units

    Knowledge

    Students know:
    • Strategies to determine if two given fractions are equivalent.
    • How to use a visual model to illustrate fraction equivalency.
    • Contextual situations for addition and subtraction.

    Skills

    Students are able to:
    • Use fraction equivalence to add and subtract fractions and mixed numbers with unlike denominators.

    Understanding

    Students understand that:
    Addition and subtraction of fractions and mixed numbers with unlike units,
    • Require strategies to find equivalent fractions in a common unit, and the sum or difference will be expressed in the common unit.
    • Can be assessed for reasonableness of answers using estimation strategies.
    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.

    Unpacked Content

    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.
    Link to Resource

    CR Resource Type

    Lesson/Unit Plan

    Resource Provider

    PBS
    Accessibility
    License

    License Type

    CUSTOM
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