Maths Without Limits
Opening Young Minds to Endless Possibilities

## Angles in Polygons

Investigate the total interior and exterior angles of polygons (triangle, quadrilateral, pentagon, hexagon etc.) Explore patterns in the numbers and establish rules and experiment with formulas....

## Constructing Shapes

Constructing shapes with compasses is always great fun because you get pretty patterns. But this investigation goes well beyond regular activities with pupils being given an open-ended challenge to create as many different types of shape as possible using a pair of...

Find out why a square is a special kind of rectangle but a rectangle is not a special kind of square!Explore the differences rhombuses and parallelograms, kites and trapeziums.Investigate questions like ‘Is there a quadrilateral with three acute angles?’A...

## Angles in Triangles and Quadrilaterals

Investigate the angles in different triangles and quadrilaterals and discover the facts about their totals....

## How Many Different Kinds of Triangle Are There?

How many different kinds of triangle are there? Can you have a triangle with two obtuse angles? These and other questions are all explored in this practical investigation using geostrips (or something similar). By the end of the investigation you should be able to...

## Pythagoras Puzzle

Have fun making this simple puzzle which very beautifully illustrates Pythagoras’ Theorem that the sum of the squares on two sides of a right-angled triangle = the square on the third side.   Make and solve the puzzle and then through measuring areas discover...