These investigations from Subtangent help to develop a systematic approach but require students to use their own recording methods. They can be used as a whole class introduction to an investigation or as individual tasks. As these investigations are open ended and students can make their own decisions as to the...

These AMP activities are accessible to all secondary students. Around half the activities are abstract investigations and half are practical explorations set in realistic contexts. Suitability for group work, required equipment, key mathematical features, extension opportunities, etc. are touched on in the teachers...

These two books from the Shell centre focus on the pure investigations. The pure investigation tasks are, perhaps, rather different from the other two main types of extended task, those of a practical nature and those of an applied nature, in the sense that they allow...

This is the first book in the series of investigations from Spectrum Maths. It was intended to be suitable for those students working at National Curriculum levels one to three. The forty student investigations in this book are non-sequential and focus mainly on the mathematical topics of addition, subtraction,...

This maths activity gives pupils the opportunity to learn about aerodynamics and apply this knowledge to designing and making a paper plane. Pupils will apply their maths skills of data collection and measurement to record the test flights and reflect on the most successful plane. Opportunities for extension are...

This maths activity will give children the opportunity to explore thrust by creating windmills and recording data from test flights. Pupils will accurately measure, compare and record numbers in a group activity and further their understanding through key questions. This resource is part of a series of STEAM...

GAIM Activities are open-ended tasks where achievements in using and applying mathematics can be assessed alongside content. In the investigations students explore pure mathematics.

GAIM provides teachers with 80 Activities (40 Investigations and 40 Practical Problems) as a resource for teaching and...

The third book in the Investigations series from Spectrum Maths was aimed at students in the upper stages of primary schools who were working at levels three to six. Each of the forty investigations has a teachers’ page followed by the student sheet. The information for the teacher includes the National Curriculum...

This resource is from a collection of Nuffield Maths resources exploring dynamics. The demand is roughly equivalent to that in GCE A level. The resources typically include slide shows to introduce the topics, student sheets and teacher notes, as well as other relevant resources.

This resource is a practical...

This resource uses the context of football to introduce a heart rate investigation. Students take part in suggested exercises and measure their heart rate and recovery time.  They need to plot of graph of their heart rate for different activities, and are encouraged to decide the axis and scale of the graph for...

In this practical activity, from the Royal Institution, students use paired mirrors to investigate repeated reflections and the symmetrical properties of certain polygons. Based on observations made about these symmetries, students then look at how the mirrors and reflections allow them to deduce the angles in...

This resource, from the Royal Institution, provides students with the opportunity to explore patterns in mathematics. The activity begins by considering observed patterns in number sequences and progresses to the concept of fractals, which is introduced to students through playing 'the chaos game'. Students...

This activity, from the Institution of Engineering and Technology (IET), focuses on understanding that changing the composition of a material will affect its properties and characteristics.

It is intended that...

This activity will allow students a practical opportunity to apply the formula of speed to establish and consider why streamlined shapes are advantageous.

The activity gives students the opportunity to explain what...