Nets are used to make almost all forms of card packaging, ranging from simple cereal boxes to display boxes with clear polymer ‘windows’, to display stands. In this activity children consider how 3D packaging may be made from a 2D net, then make card models of a pyramid and a cube from nets. They may combine...

In this resource students are asked to find the value of several calculations that involve addition, subtraction and the squaring of fractions. Students are asked to spot patterns and similarities within the questions in order to generalise. The investigation concludes bu using algebra to prove their conjectures....

The initial task involves using factors of 12 and -12 to set up two points. Compasses are used to draw a circle that has the two points as its diameter. An interesting feature of the resulting...

The initial investigation uses an inductive formula and two initial values to derive a sequence that results in a series of fractions before returning to the initial two values of the sequence. A spreadsheet is provided that performs the calculations given in the inductive formula. This is helpful for both checking...

There is an initial investigation of geometric progressions where the interval between the first and second, and the third and fourth terms are given, with the challenge of discovering two possible values for the first term and associated common ratio. There are ten examples to work on to enable collaboration...

This lesson develops the concept of adding and subtracting directed numbers. The activities address common misconceptions about the addition and subtraction of directed numbers. Students explain their reasoning using diagrams.

The activities use the ‘charge’ model of directed numbers. For example, a diagram...

In this STEM activity, pupils will solve three addition and subtraction problems, with the answers giving the digits needed to crack the code to a safe. This activity allows pupils to further their abilities to add and subtract numbers with up to three numbers mentally and using formal columnar methods and to solve...

In this activity, from the Institution of Engineering and Technology (IET), students explore the basic principles of aerodynamics by looking at familiar products that have been designed with speed in mind and identifying features common to these products....

This More Maths Grads resource, from the Maths Careers website, investigates the maths used in transport and is based on the travelling salesman problem.

Students are given a table containing information on the cost of air travel between nine different cities and asked to plan a route that visits each...

This is one of a series of resources from the IET designed around the theme of the future of flight with the purpose of developing pupils knowledge and skills in engineering and mathematics. This activity focuses on developing the...

In this teacher presentation and collection of student worksheets a pair of simultaneous equations is given, one of which is non-linear. A second pair of similar simultaneous equations is given; that has the same solutions. Students are challenged to explain why.

Each student worksheet contains different...

This activity, from the Institution of Engineering and Technology (IET), introduces students to the differences between analogue and digital communication. An analogue signal can be rendered useless by small amounts of interference, whereas a digital signal remains...

In this activity, students use data on electricity consumption to investigate how average values are calculated. They also consider how accurate a source of published data is and whether it may contain bias.

...

This extension activity, from the Institution of Engineering and Technology (IET), follows on from the How Much Waste?...

This is a concept development lesson that is designed to help students to:

• Overcome common misconceptions about probability
• Count equally likely outcomes using diagrams
• Discuss relationships between theoretical probabilities, observed outcomes and sample sizes

...