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These resources have been reviewed and selected by STEM Learning’s team of education specialists for factual accuracy and relevance to teaching STEM subjects in UK schools.

Further Mathematical Experiments

This resource is designed for use by lower secondary school students and consists of twenty five activities and practical experiments to enrich the curriculum.

Prime Numbers: uses a hundred grid to find the prime numbers, often referred to as the sieve of Eratosthenes.

My Bicycle: calculating how many revolutions a bicycle wheel will make when travelling one kilometre.

Squared Numbers: using a hundred square grid to show the pattern created by square numbers.

Constant Ratio and Conversion Graphs: students use a conversion graph to show the ratio between litres and cubic centimetres.

Estimation-Length and Weight: in the first experiment, students estimate the lengths of objects before measuring the actual distances and calculating their error. In the second the first experiment is repeated using weight.

Density: students fill a cube with rice, salt, flour, sugar, milk and water , weigh each and compare which are lighter and which are heavier than water.

Using a Compass-Direction: students use a compass a tape measure and some chalk to plot a route.

Finding Heights from Shadows: an investigation looking at angles of elevation.

Percentage: visualising fractions and percentages on squared paper.

Circles-How They Grow: an activity plotting graphs to compare the diameter, circumference and the area of circles.

Decimal Fractions-Thousandths: visualising fractions and decimals.

Finding the Area of a Parallelogram: an activity in which students discover how to find the area of a parallelogram.

Symmetry-Regular Shapes: exploring symmetry and congruency.

How Far Across the River?: a practical experiment using a scale diagram to calculate the width of a river.

Spheres, Circumferences and Volumes: using graphs to compare the diameter, circumference and volume of a solid.

Averages: an experiment weighing ten, then twenty students, and comparing the averages.

Map Locations-Grids: locating reference points on a map.

Angles of Polygons: an investigation into the sum of the interior angles of a polygon in terms of the number of right-angles made.

Volumes, Cubes and Cylinders: an experiment to compare the volumes of cubes and cylinders.

Pulleys (1): experiment to find a relationship between the weight lifted and the effort required.

Making a Code-Equations: using equations to make codes.

Pulleys (2): finding the ratio of weight lifted and effort required.

Cones and Cylinders: an experiment to compare the volumes of cones and cylinders.

Springs: an experiment to find a relationship between the weight placed on a spring and the amount of stretch.

How Fast Can I Run?: an experiment to calculate speed in metres per second

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