In this presentation and collection of student worksheets a diagram shows a square and three right angled triangles, with each shape sharing a common side. Some of the lengths are given in surd form, from which students have to find the area of the square.

The solution involves the use of Pythagoras’ theorem...

In this Core Maths task students explore the question ‘On average, how many throws does it take to throw a six?’ Through this activity students can gain an understanding of ‘expectation’ as well as learning how to calculate summary statistics when the data is given in a frequency table.

Throwing a...

Act 1

A photograph is shown of an individual ticket, placed...

This activity, from the Institution of Engineering and Technology (IET), requires students to design a magnetic tool holder for a robot surgeon.

It is intended that students will:
• Appreciate the potential of...

This activity, from the Institution of Engineering and Technology (IET), requires students to compete to make the strongest electromagnetic tool holder for a surgeon's robotic arm.

It is intended that students will be...

In this resource the time is given for a train to pass a signal. The time is also given for a train to completely pass through a tunnel. It is assumed that the train is travelling at constant speed. The task is to calculate the length of the train.

Solving the problem requires the use of the formula for...

This interactive resource, produced by the University of Leicester, is designed to enable students to explore transformations of functions including translations, stretches, reflection in the axes and rotations.

The first activity uses function notation to explore translations parallel to the x axis and...

This interactive resource, produced by the University of Leicester, is designed to enable students to explore transformations of shapes including translation by a vector, stretches, rotations around a point, reflection in the axes and reflections in the lines y=x and y=-x.

The first activity draws a...

This lesson develops the concept of transformations. In particular students will:

• Describe in words the transformation that maps an object to a transformed image
• Given a geometric figure and a transformation, draw the transformed figure
• Describe transformations as algebraic functions...

This lesson develops the concept of converting between and ordering fractions, decimals, and percentages. The lesson uses area and linear models of fractions, decimals, and percentages to understand equivalence.

The main activity is a collaborative exercise. Students must collect together cards that show a...

This lesson develops the concept of translating between decimal and fraction notation, particularly when decimals are repeating. This is achieved by

• Creating and solving simple liner equations to find the fractional equivalent of a repeating decimal
• Understanding the effect of multiplying a...

The opposite corners of a trapezium are joined, creating four triangles within the trapezium. The areas of the triangles formed using the parallel sides as is given. The task is to calculate the...

This resource focusses on position and direction using vector and polar coordinates, with the theme of a pirate treasure map. In this activity, learners will look at different methods to find position and direction on a map. They will learn how to use coordinates and bearings using angle and distance. Alongside...

Carom Maths provides this resource for teachers and students of A Level mathematics.

A triangle can have more than one centre and this presentation demonstrates the application of vectors, in three different situations, to show that the circumcentre, the centroid and the orthocentre of a triangle are indeed...

A triangle is split into two parts by drawing a line from one side to the base of the triangle. The ratio in which the sides are split is shown for each of the sides connected by the line. The task is to find what multiple of the smaller triangle is the larger triangle.

The ‘something in common’ between each...