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...

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...

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 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...

This activity, from the Institution of Engineering and Technology (IET), allows students to investigate environmental issues in the context of the design and operation of a new school. Students are required to apply their mathematical understanding of formulae and...

This activity, from the Institution of Engineering and Technology (IET), challenges students to calculate the dimensions of an underground tunnel system. Students are encouraged to move beyond an ‘out of sight, out of mind’ approach to sewage as they use and develop...

In this activity, students use the speed, distance, time equation to calculate how long it takes to travel to destinations around the globe from the UK via today's global transport options. They are then introduced to a new concept to global travel: the vacuum tube...

This resource develops the concept of working with coordinates to interpret horizontal or vertical intervals on graphs.

Students are presented with two graphs. The first shows the number of sodas in a vending machine against time for Monday, the second shows the same information for Tuesday. Students are...

This is a problem solving lesson where students develop their understanding of the following areas:

Choosing a systematic way to collect and organise data including;

• constructing tables
• two-way tables
• frequency charts

and interpreting findings clearly and...

This lesson develops the concept of using directed numbers in the practical context of temperatures and temperature change. Particular attention is paid to the use of directed numbers on number lines to explore the structures:

• Starting temperature + Change in temperature = Final temperature
• ...

This lesson develops the concept of classifying relationships between two quantities. In particular, students will:

• Describe a ratio relationship between two quantities
• Compare ratios expressed in different ways
• Use proportional reasoning to solve a real-world problem

An...

This is a problem solving lesson, designed to help you assess how well students are able to:

• Reason precisely and defend their conclusions
• Use mathematics to model a scenario concerning volume

The problem is set in the context of packing a truck in the most efficient way possible...

This lesson develops the concept of making sense of the standard algorithms for addition, subtraction, multiplication, and division of positive integers. In particular students will work on the following areas:

• Improving conceptual understanding of why and how the algorithms work.
• Developing...

This activity away from the computer is from the Barefoot Computing project. It is intended to provide a theoretical understanding of why and how variables are used in computer programming, using the example of score-keeping in a classroom quiz. Involving several volunteers from the group, the activity uses...