Overview

Fraction circles provide an area-based model for children to learn about fractions. They can be used for fraction comparisons, finding equivalent fractions, and various forms of fraction arithmetic (addition, subtraction).


MakerSpace Files

There are two sets of files.

  • STL files in Thingiverse for 3D printing plastic fraction circles.
  • SVG files in Design Space for cutting foam (or paper) versions of the fraction circles.

Cricut version of the files can be downloaded here (for 1, 1/2, 1/4, & 1/8) and here (for 1, 1/3, & 1/6).
3D printer version of the files can be downloaded here.

Click here to download the set of files in Thingiverse for labeled fraction circles.

Colorgrams of PLA
per print
Cost ($18 / Kg)
per print
Time
1 (whole)White19.85$0.3636 min
1/2Purple19.95$0.3637 min
1/3Dark Green20.06$0.3638 min
1/4Dark Blue20.07$0.3639 min
1/5Red20.26$0.3640 min
1/6Black20.42$0.3742 min
1/8Light Blue20.69$0.3744 min
1/9Light Green20.37$0.3743 min
1/10Pink20.55$0.3744 min
1/12Gray20.78$0.3746 min
A complete set takes 203 grams of filament and costs an average of $3.65
With a 0.6mm nozzle, the total printing time for a complete set is approximately 6 hours 49 min.

Note: If you have not read the tutorial post on MakerSpace Manipulatives, please do so.

Examples of Use

Comparing Fractions

Fraction circles provide a simple means of comparing fractions. In the example below, 3/4 and 4/5 are being compared. Such tasks give students an internal sense of the size of fractional parts and how they compare to each other. In this case, a child can know that 4/5 is larger because 1/5 (the part missing for fifths) is smaller than 1/4 (the part missing for fourths).



More to come…

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