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...

These diagnostic questions and response activities (contained in the zip file) support students in being able to:

• Describe the heating effect of current on a conducting wire.
• Predict changes to current through transmission lines using P = I x V. 
• Calculate power dissipated by a wire...

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...

This teaching package, aimed at Key Stages Two and Three, investigates the science of tree rings (dendrochronology). Linked to the topics of plants and living things and their habitats, it looks at cut tree trunks to determine the age of the tree, how fast it grew and...

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...

In this resource the side lengths of a triangle are given. The challenge is to find the ratio of the product of each of the tangents, divided by the sum of each of the tangents.

Each student worksheet contains a different triangle, but the answers all have something in common.

The solution involves...

A circle is drawn that is tangent to the three sides of the triangle. The two constituent lengths of the hypotenuse are given and the challenge is to calculate the area of the triangle. When...

This short task contains two questions on applying trigonometry.

The topics covered are:

• Linking sine, cosine and tangent
• Using Pythagoras to determine a length in a triangle and then give the tangent of an angle in surd form
• Using the Pythagorean identity sin2(x) + cos2(x) = 1...

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

This presentation shows how, when placing triominoes onto a chessboard, there is always one empty square. An algebraic proof is developed to show that the empty square will always appear in the same location, or in one of...

In this primary resource, children work scientifically to investigate the effects of various conditions on plant growth. The activities are set in a real-life context, that of a sports company who wish to provide a turf surface suitable for a range of activities. Information is required on suitable grass types and...

This resource produced by ARKive supports the teaching of life-cycles at key stage two. It looks at mammals, amphibians, reptiles and plants and finds similarities between the life cycles of animals and plants within each group, as well as some of the similarities and differences between these groups. There is a...

This resource contains a diagram made from a circle, four semi-circular arcs and a rectangle with dimensions given in surd form. The challenge is to find the total area of a given shaded area.

The student worksheets each contain different dimensions for the diagram, but the solutions all have something in...