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How to Use Hexagons to Demonstrate Fractions

Hexagons lend themselves easily to the study of fractions. Any polygon can be used for fraction puzzles to explain fractions, the denominators would just be different for the different sided shapes. For example, an octagon would have eight pieces and a square would have four pieces. A hexagon puzzle has six pieces. The fractions made from a hexagon include 1/2, 1/3 and 1/6 with varying numerators. To increase the number of fractions available, use two hexagon puzzles to increase the possible denominators to 12.

Things You'll Need

  • Colored paper
  • Hexagon stencil
  • Ruler
  • Marker
  • Scissors
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Instructions

    • 1

      Draw a hexagon on a piece of colored paper. Use a stencil or trace a downloaded hexagon shape. Draw in the diagonals with a marker using a ruler as a straight edge. The hexagon will be split into six equilateral triangles. Photocopy the hexagon if you need several copies. Otherwise cut out the pieces to make the hexagon puzzle.

    • 2

      Demonstrate the fractions yourself with the puzzle, asking the class questions, or give students their own puzzles to work with.

    • 3

      Count the pieces with the students. There are six pieces. Have them take one piece away. One out of six pieces is gone. Five out of six pieces are left. Show the students how to write this as 5/6. Explain that the top number indicates the parts that are left, and the bottom number indicates the total number of pieces that made up the whole hexagon. Repeat the exercise using different numbers of pieces.

    • 4

      Show how cutting the hexagon at different spots gives you different numbers. If you cut it in half you have two pieces: a top 1/2 and a bottom 1/2. If you group the triangles in pairs, the hexagon has three pieces. Let the questions from the students direct you as to which properties of fractions you need to spend more time on.

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