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...

Inspired by the Born to Engineer video from Kim Cave-Ayland, an engineer whose work is helping to create a safe, low polluting power source that could change our energy future, this resource supports students to work with data on UK energy consumption, exploring how energy generation is managed and what type of...

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 resource from TechSheCan explores how technology is used to keep us safe online. It references cyber-attacks, facial recognition, hacking home devices and password protection. It includes lesson slides, teacher notes and a homework activity.

In this activity, learners will use a vacuum former to manufacture a suitable casing for a programmable product. It...