Students are presented with a normal six sided dice students and are asked to show that the probability of two events 'the score is odd' and 'the score is prime' are not independent. Students are then given conditions for the probabilities of the scores on a biased dice and are challenged to discover if it is now...

This activity involves the quest to show whether two events are independent. Students are required to use a Venn diagram and to apply logic to find all possible combinations of values within the diagram and thus calculate the probability of event A and event B being independent events. The answer provides a full...

In this activity students explore the probability involved in a particular game involving some special dice. The aim is to explain the reasons behind their findings when playing the game using some straightforward mathematics. Students are required to be familiar with...

In this Bowland assessment task, students interpret a graph to give advice upon whether the age gap between couples is acceptable or whether it is too large. Students use equations of straight lines and inequalities to help them reply to queries sent to the problem page. They are then asked to comment upon trends...

This sample of the Badger series on maths problem solving and investigative practice is in line with the Key Stage Three Strategy and Framework approach. This sample includes problems involving percentages and shape & space.

Problem Solved involves students in their maths with plenty of interactive work...

In this 5 hour STEM Clubs teaching pack students examine ways in which communities can put measures into place to make sure people and properties are safe, and look at how the IoT can bring additional benefits to this safety.

It is recommended that, prior to this...

In this  extended five hour communities and fire safety challenge, students work in small groups, to design, make, test and evaluate an electronic system to provide early warning in the event of a fire breaking out. They...

In this 5 hour Mathematics teaching pack, students are asked to consider how the internet of things can connect the previously unconnected, and how this can be used in fire detection systems.

Students are asked to work towards a CREST Discovery Award by designing a connected fire detection system in teams...

This five hour teaching pack examines how everyday technologies can be connected via the Internet Of Things (IoT) to improve fire safety. 

From the sensors...

This five hour teaching pack supports students to research, design and prototype their own Internet of things product to enhance the working lives of firefighters.

These three resources, from the National Strategies, focus on solving problems.

Logic problems and puzzles...

The problem cards have been designed for students to use in conjunction with the main work described in the teachers' guide. It is intended that students should at least be able to 'have a go' at most of the questions, but they should also be encouraged to think round a problem and to devise alternatives and...

The problem cards have been designed for students to use in conjunction with the main work
described in the teachers' guide. It is intended that students should at least be able to 'have a go' at most of the questions, but they should also be encouraged to think round a problem and to devise alternatives and...

These four sets of problems, from the Nuffield Mathematics Project, have been designed for young secondary-school students. It was hoped that teachers would find them useful in conjunction with the main work described in the teachers' guides. The majority of the...