The fractional circles convey basic knowledge in fractions. With the divided circles the fractions: 1/1 to 10/10 are shown. Children very much like to work with the fracture circles, because the fractions become tangible with them.

Application example: The child is asked to place a certain fraction, or is asked to add a given fraction.

Use, advantages, areas of application for this Montessori material:

• • Learn and understand fractions

• • Calculating with fractions

• • Lay out fractions

• • Completion of fractions

• • Montessori material for children from 5 years

Scope of the Montessori material for calculating fractions:
2 wooden shelves, each approx. 66 x 16 x 5 cm
10 insert frames, metal, approx. 13 x 13 cm, circle diameter approx. 10 cm
55 fractions (1/1 - 10/10), metal

Instructions for the Montessori fracture circles

Filling the whole circle with equal segments
The box with the fraction arithmetic circles is placed on the table. First, all circles from 1/1 to 10/10 are built up.

Filling the whole circle with unequal segments
The frame of the 1/1 circle is placed on the table. Different segments of the fracture circles are placed in these and filled up on the whole circle (e.g. 1/2 + 1/4 + 1/8 + 1/8 = 1 or whole circle).

Transfer onto paper or into a booklet.
The frame of the 1/1 circle is placed on a sheet of paper and the circle is drawn around with a coloured pencil. Then the circular area is hatched.

Now the 2/2 circle follows. The frame lies on the paper, the segments are set aside. Here, too, the circle is circumnavigated first. Now you insert the circle segments one after the other and drive around their edges so that the individual segments are drawn in at the end. These are hatched in colour.

Padding segments
Pieces of a circle are padded with other segments.
Any segment of a circle, e.g. 1/2, is placed on a sheet of paper and drawn around with a thin coloured pencil or pencil. Now this is added with other segments: 1/2 = 1/4 + 1/4 or 1/2 = 1/8 + 1/8 + 1/4.

Comparison of segments of a circle

Different fractions or segments of a circle can be compared with one another, eg 3/5> 1/3

or 5/10 = 1/2.