# Fraction Circles

**Web Link: **Polypad – Virtual Manipulatives – Mathigon

**Flexibility: **Polypad can create fraction circles for use in their blank canvas. There is a whole circle and all other pieces will fit on top of it. Shapes do not auto-rotate but do snap to an isometric grid. Fractions pieces range from 1/2 to 1/9th. There is a pen to write on the canvas, a way to add text, and the canvas can be saved so that it may quickly be given out to students later. Multiple tiles can be selected with a click and drag, allowing for multiple tiles to be moved at once. There is also the ability to zoom in and out on specific examples. The colours of the fraction pieces can also be changed. There is also the ability to combine these and fractional bars on the same canvas.

**User Interfaces: **Mouse, touchpad, and touch-friendly.

**Browsers: **Works with all major browsers

**Web Link: **Fractions by The Math Learning Center

**Flexibility: **This is a blank canvas that allows teachers to create a fraction circle based on however many slices they select. Teachers can select from preselected circles, or pick how many divisions to make the circle into. This was good up to 999 slices. Teachers can also colour in the circles, however, it appears that teachers can only use one colour per fraction circle. There is a way to write and leave mathematical notation on the canvas. However, fractional notation cannot be typed, only drawn on. There is also the ability to add fractional bars on the same canvas.

**User Interfaces: **Mouse, touchpad, and touch-friendly.

**Browsers: **Works with all major browsers

**Web Link: **Fraction Pieces Virtual Manipulative

**Flexibility: **This is a blank canvas that allows students to fill in one to four circles, the pieces rotate into place on the circles they are dragged to. One downside is that there are no numbers on the fractional pieces (i.e. 1/2), instead, the students would have to figure out what each piece is. For your sake, the colours correspond to the following: (Red, R, 1)(Pink, P, 1/2)(Orange, O, 1/3)(Yellow, Y, 1/4)(Green, E, 1/5)(Teal, T, 1/6)(Blue, B, 1/8)(Purple, L, 1/10)(Grey, G, 1/12). Pieces can be stacked on top of each other to see how specific fractions are or are not equivalent. This can be aided with an option to make some pieces transparent. There is a video walkthrough here.

**User Interfaces: **Mouse and touchpad friendly. Touch-friendly, but does not resize for smaller screens.

**Browsers: **Works with all major browsers

**Original Creator: **Fraction Circles Manipulative – Mathematics Blog

**Web Link: **Fraction Circles | Free Virtual Manipulatives | Toy Theater

**Flexibility: **This virtual manipulative has two circles that can be filled with circle segments. Segments are automatically rotated and snapped into place. Pieces that do not fit are destroyed with a destruction animation. It has 1/2 to 1/12th only skipping 1/7th, 1/9th, and 1/11th

**User Interfaces: **Mouse, touchpad, and touch-friendly.

**Browsers: **Works with all major browsers

**Web Link: **Fractions, Percent, Decimals

**Flexibility: **This virtual manipulative allows you to set a number of divisions for a fraction circle (up to a hundred) and a number of colours (up to 5) to colour the segments. Students can then figure out the fractional number of each colour, its decimal equivalent, and its percent. The answer for each is revealed as they click on the question mark. There is an option to randomize the colours and pick simplified fractions.

**User Interfaces: **Mouse, touchpad, and touch-friendly.

**Browsers: **Works with all major browsers