Fractions of a set

Fractions of a set

Lessons

In this lesson, we will learn:

  • How to use fractions to talk about sets of objects
  • How to use division and multiplication to solve for fraction of a set

Notes:

  • We can use fractions to talk about sets of objects. We can use images or just simplify to a simple shape like a circle.
    • Ex. If Austin has 8 jellybeans and he wants to give 14\large \frac{1}{4} to her, how many jellybeans will he give?
Fractions of a Set
    • By making 4 equal groups and then giving just 1 of those groups, we realize that there is 2 in each group, so he gave his sister 2 jellybeans.
  • We can use division and multiplication to find the fraction of a set
    • Ex. After giving his sister jellybeans, Austin has 34\large \frac{3}{4} of his 8 jellybeans left.
Fractions of a Set
      • Step 1: divide 8 into 4 equal groups \, \longrightarrow \, 8 ÷ 4 = 2
      • Step 2: take the result and multiply by 3 groups \, \longrightarrow \, 2 × 3 = 6
  • The formula for a fraction of a set:
    • following the format: Fractions of a Set
    • divide the denominator and multiply the numerator
Fractions of a Set
  • Introduction
    Introduction to Fractions of a Set:
    a)
    How to find the fraction of a set of objects


  • 1.
    Picture models for fractions of a set
    Picture models for fractions of a set
    a)
    12\large \frac{1}{2} of 10 is ____ Fractions of a Set

    b)
    ___ of 9 is 3 Fractions of a Set


  • 2.
    Grouping circles for fractions of a set
    For the set of circles, answer the sentence equation by:
    • Drawing circles to make equal groups
    • And then drawing a box around the given amount
    a)
    23\large \frac{2}{3} of 12 is ____ Fractions of a Set

    b)
    45\large \frac{4}{5} of 15 is ____ Fractions of a Set


  • 3.
    Fractions of a set with division
    Find fraction of the set and write as a division statement.
    a)
    14\large \frac{1}{4} of 12 is ____
    ____ ÷ ____ = ____

    b)
    12\large \frac{1}{2} of 18 is ____
    ____ ÷ ____ = ____


  • 4.
    Fractions of a set with multiplication and division
    Find fraction of the set and write a statement with both division and multiplication.
    a)
    23\large \frac{2}{3} of 15 is ____
    ____ ÷ ____ × ____ = ____

    b)
    56\large \frac{5}{6} of 24 is ____
    ____ ÷ ____ × ____ = ____


  • 5.
    Word problems for fractions of a set
    Use drawings to help you answer the word problems.
    a)
    Raine has 20 socks. 310\large \frac{3}{10} of the socks are yellow. How many socks are yellow?
    Fractions of a Set

    b)
    11 children are on the playground. 611\large \frac{6}{11} of the children are boys. How many girls are on the playground?
    Fractions of a Set

    c)
    Eli has 21 marbles. 27\large \frac{2}{7} of the marbles are blue. How many not blue marbles does Eli have?
    Fractions of a Set