Montessori Inspired Fraction Circles - 3D Printer Design Files

Grade Levels
PreK - 7th
Resource Type
Formats Included
  • Zip
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What is Frac Stac?
Frac Stac is inspired by the Montessori range of self-correcting toys that lay the foundation for learning through play.

It can be used as a tangible aid in Maths when doing any manner of fraction work or as a game. Game ideas are included below.

What Design Files are Include
x1 Container (not necessary to print though)
x1 ring
x1 Whole circle
x1 circle of ½’s
x1 circle of 1/3’s
x1 circle of 1/5’s
x1 circle of 1/6’s
x1 circle of 1/8’s
x1 circle of 1/10’s

How it can be Played
For Younger Children
Frac Stac Puzzle
Create circles made with matching colours or mix them up to see what pieces of the pie will fit in the pie ring.

For Older Children
Frac Trade
Place the ring in the middle of 2-3 players. Place a half piece in the centre of the ring.
Make 1 to 2 rows of all the remaining pieces to the side of the ring to make the “pack”

The person who can remove the most amount of pie by matching pieces with the equivalent fraction wins.

To Play
Each person starts with 1 piece of the pie from the pack.
Each player collects a new piece from the pack at the end of each turn.
When a player can match an equivalent fraction with any piece in the middle of ring, then they may remove and replace the piece in the ring. The removed piece is kept until the end for scoring purposes. i.e. If someone has x2 ¼ pieces they may remove the ½ piece from the middle. Then in someone has x2 1/8 pieces they may remove a ¼ piece of pie.
Play continues until all the pieces in the pack are gone.

To Win
Everybody constructs as many whole circles as possible with their pieces removed from the middle. The person with the highest whole number and fraction wins.

Fraction Multiplier
To Play
Place all the tenths, eighths, sixths and quarters into a container.
Each player select 7 pieces.
Place in the middle a 1/2, a 1/3 and a 1/5
Each player rolls a dice. The first die is rolled until either a 2, 3 or 5 is shown. This indicates which fraction piece they will be multiplying (1/2, a 1/3 and a 1/5)
The second roll is the multiplier. For example, if the first roll is a 2, then they are multiplying the ½ fraction. If the second roll is a 3, they need to multiply ½ by 1/3 = 1/6. If the player has a 1/6 piece they may discard it.

To Win
The first person to get rid of all their pieces wins.
Total Pages
Answer Key
Teaching Duration
30 minutes
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