Fraction Cube

Image coming soon!

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

  • 1.

    Ask the 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!