Overview
Fraction tiles are a length model for illustrating fractions. Most versions include a representation of the whole and eight different fraction types (1/2s, 1/3s, 1/4s, 1/5s, 1/6s, 1/8s, 1/10s, 1/12s) – but our version includes 1/9s, and the files can be edited so other denominators can be included in your set. Fraction tiles are useful for facilitating part-whole reasoning, fraction comparisons, addition/subtraction, and multiplication/division. The version presented here can also be used to model these concepts directly on a number line. For example lessons and videos for how to use fraction tiles, please scroll to the bottom of this page.
MakerSpace Files
There are two options for creating fraction tiles: plastic (3D printer) and foam (Cricut). Below are estimates for the amount of material, along with recommended color schemes. The estimated costs are conservative estimates and you may be able to find less expensive filament or foam sheets.
Click here to download the stl files (for 3D printer) in Thingiverse.
Click here to download the svg files (for the Cricut) in DesignSpace. These files are a larger size, where you can add magnets to the back and have a nice display for your magnetic white board.
Note: If you have not read the tutorial post on MakerSpace Manipulatives, please do so.
insert image for Cricut
Examples of Use
Fraction Comparisons on a Number Line
Using either the foam (Cricut) or plastic (3D printed) manipulatives, you can print a number line from the attached number line sheet and have students measure the length of fractions and label them on the number line. The video below illustrates a comparison of 1/2, 2/3, and 4/6 on (and off of) a number line. In our version of fraction tiles, the whole is 24 cm long, allowing for the number lines to be printed on a single sheet of paper. Using the same materials, teachers can engage students not online comparing fractions and equivalent fractions, but also fraction addition/subtraction, and fraction multiplication and division.
More to come…
