GAIM Activities: Investigations

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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 assessment. These are open-ended tasks designed to encourage students to use, apply and develop mathematical knowledge, skills and understanding and to integrate these in order to make decisions and draw conclusions.

The activities are suitable for a wide attainment range and can be used with whole classes, with small groups of students, or with individuals. A balanced set of activities, together with extended pieces of work, satisfies the assessment of National Curriculum Attainment Target One.

These activities also enable teachers to credit student achievement in relation to other attainment targets by looking at the mathematical content in the work.


Investigations involve students in exploring the pure aspects of mathematics. They provide the opportunity for students to develop their own systems for generating results and to identify, express and justify any patterns they obtain.

Examples include:

*Crooked Stars - Investigating tesselation patterns on a grid and considering reflections, rotations, translations, and size of different polygon shapes.

*Change - Investigating the number of ways of giving change for different sums of money.

*Outside in - Investigating perimeters and areas of polygons on a grid leading to the notion of locus and/or the symbolisation of relationships.

*Co-primes - Investigating factors and prime numbers

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Please be aware that resources have been published on the website in the form that they were originally supplied. This means that procedures reflect general practice and standards applicable at the time resources were produced and cannot be assumed to be acceptable today. Website users are fully responsible for ensuring that any activity, including practical work, which they carry out is in accordance with current regulations related to health and safety and that an appropriate risk assessment has been carried out.


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