Fraction Square for School Maths Lab

Quick Answer: Fraction Square for School Maths Lab is a square whole divided into fractional pieces that fit back together, used as an area model of fractions. The fraction square shows that equal parts need not look alike and links fractions with percentages and with multiplication of fractions.

An Area Model Built on a Square

A square can be halved in more than one way: by a line through the middle, giving two rectangles, or by a diagonal, giving two triangles. Both are halves, because each covers exactly half the area, yet they look completely different. Where the set includes both kinds of piece, pupils can hold them side by side, which challenges the idea that equal parts must be the same shape. Quarters work the same way, as four small squares, four strips or four triangles meeting at the centre.

Because a square is easy to divide into a hundred small squares, it is the natural whole for percentages. One quarter covers the same area as 25 of those hundred squares, so 1/4, 0.25 and 25 percent describe one area. Pupils convert between the three forms by laying pieces over a hundred grid or by drawing the grid on the square.

In middle school the square becomes the model for multiplying fractions. Shading one third of the square in horizontal strips and then one half of that shaded region in vertical strips leaves a double-shaded area of one sixth, so one half of one third is 1/6. The picture explains why the numerators and the denominators are multiplied.

Applications

• Showing halves and quarters of a square in different shapes
• Converting between fractions, decimals and percentages on a square whole
• Modelling multiplication of fractions such as 1/2 × 1/3
• Comparing fractions by covering the square with different pieces

Specifications

Care & Handling

• Return each piece to its place in the frame or tray after use.
• Store flat so pieces continue to fit neatly into the square.
• Clean with a slightly damp cloth, then dry.

Why Choose LabEquip

Teachers moving pupils from fraction bars to area models and percentages are the usual buyers. LabEquip lists the square in Mathematics School Lab Products beside the Fraction Bar set that covers the length model; ask for quantities on the contact page.

Frequently Asked Questions

Why can halves of a square look different?

A half is defined by area, not shape. A line through the middle makes two rectangles and a diagonal makes two triangles, but in both cases each part covers exactly half of the square, so both are halves.

How does a fraction square link fractions and percentages?

Think of the square as 100 small squares, which together make 100 percent. One quarter of the square covers 25 of them, so one quarter equals 25 percent and 0.25.

How is multiplication of fractions shown on the square?

Shade one third of the square in strips one way, then shade one half of that region in strips the other way. The part shaded twice is one sixth of the square, showing that one half of one third is one sixth.

How is a fraction square different from fraction bars?

Fraction bars compare fractions by length. The square compares them by area, which makes it better for percentages, multiplication and showing that equal parts can have different shapes.

At what level is this square used?

Primary pupils use it for halves, quarters and simple equivalence. Middle-school pupils use the same square for percentages and for multiplying fractions.

Which divisions does the square include?

The title does not state them, so confirm the divisions when you enquire. For percentage work, a square that includes quarters, fifths and tenths is especially useful.

Last Updated: September 2026