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Fraction Cube

Have some fun with fractions! Create a cube to explore fractions with an option to develop an original game.

  • Grade 3
    Grade 4
    Grade 5
  • 30 to 60 minutes
  • Directions

    1. Ask students to draw a 2 by 2 inch square (5cm by 5cm square) on white paper, using a ruler.
    2. Instruct the students to connect five more 2 by 2 inch squares (or 5cm by 5cm square), creating a “T” of six squares. Provide a visual model for students to use as a reference.
    3. Ask the students to draw perpendicular lines diagonally from corner to corner in each square to create four equal triangles.
    4. Have students draw perpendicular lines horizontally and vertically, passing through the center of each square to create eight equal triangles within each square.
    5. Ask the students to color in triangles on each square with Crayola® Washable Markers. Each square should have a different number of colored triangles. Each square should be represented with a different color.
    6. Instruct the students to cut the “T” out with Crayola Scissors.
    7. Ask the students to fold the edge of each square and tape the “T” into the shape of a cube.
    8. Pose these questions: Can you see the sum of the parts in each square? Can you identify each colored triangle as the numerator of a fraction? Can you experiment with adding and subtracting the fractions?
    9. Instruct the students to follow steps 1-7 again to create a second cube, or pair up with a partner who has already created their own cube. Encourage the students to develop an original game, or use these simple directions: Each player rolls their cube. The player with the larger fraction wins a point. The first player to have 10 points wins the game!
  • Standards

    Math: Develop an understanding of fractions as numbers.

    Math: Understand a fraction 1/b as the quantity formed by 1 part when a whole is partitioned into b equal parts; understand a fraction a/b as the quantity formed by parts of size 1/b.

    Math: Explain equivalence of fractions in special cases, and compare fractions by reasoning about their size.

  • Adaptations

    All the divisions could be horizontal and vertical to create square subdivisions rather than triangles.

    Each square could be divided up to 16 times to create complex combinations of fractions.

    The activity could be taken a step further to teach or review simplifying fractions.

    The cubes could be used as a manipulative for children to visualize the numerator and easily count the denominator of a fraction.

    The cubes could also be used for addition or subtraction of fractions as a level in the game. First player to add or subtract correctly gains a point!

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