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PI-Calculating Its Value

This excel resource looks at various methods of evaluating pi, including Vièta’s formula and using the trapezium rule.

The first series of sheets include an introduction to François Vièta, his infinite product for calculating pi and a derivation of the formula. A step by step calculator method is also...

Tangents and Normals

This excel file explores the relationship between tangents and normals.

In the first interactive sheet the user can alter the coefficients of a quadratic function and see how this affects the graph and equation of both the tangent and normal at a changeable point, P. The following interactive sheet repeats...

Collisions

This series of interactive excel sheets investigate models involving collisions.

The first sheet simulates two particles colliding. Initial velocity, mass and resulting velocity of the two particles can be set, or a random set-up can be generated.

The second sheet contains six questions. The mass and...

Inclined Plane

This series of interactive excel sheets investigate models involving an inclined plane.

The first sheet helps students to investigate the conditions for movement of an object on a horizontal plane.

The second sheet illustrates a mass held in equilibrium by a string on a smooth inclined plane. Six...

Moments

This series of interactive excel sheets investigate models involving moments.

The first sheet helps students to investigate the moment of a force about a point. The components of the force can also be revealed.

The second sheet demonstrates how unequal weights can balance each other on a light rod....

Projectiles

This series of interactive excel sheets look at projectiles, either on or above the horizontal plane.

The first sheet defines the symbols and units used the remaining sheets.

The second sheet investigates how changes to the angle of a projectile effects the maximum height, range and time of the flight...

Statics: Forces at a Point

This series of interactive excel sheets look systems in static equilibrium.

The first sheet looks at two forces acting on a point. A new question can be generated by clicking “new diagram” in which the angle and value of either one of the two forces, or resultant force, are to be found. The next sheet...

Forces In Strings

This series of interactive excel sheets look the forces within strings.

The first sheet shows an adjustable mass hanging on an inextensible string, and demonstrates the fact that the tension is equal to the weight.

The second sheet shows the tension on an inextensible string when a horizontal force is...

Arithmetic Series

This series of interactive excel sheets look at arithmetic series and progressions.

The first sheet gives examples of arithmetic sequences, of which the value of a further term in the sequence, the first term and the common difference can be hidden or revealed. A new set of sequences can be made at the click...

Golden Ratio

This series of excel interactive sheets look at the golden ratio.

The first two sheets investigate the ratio of each pair of consecutive terms in the Fibonacci series, and what happens to the ratio as the sequence tends to infinity. The following sheet shows different ways of looking at Pascal’s triangle and...

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