This resource gets students to investigate how to find a formula for the triangular numbers through the investigating the number of football teams play each other in a round robin. This resource is suitable for GCSE students and more able KS3 students.
Students are then guided through an investigation to see a step-by-step derivation for the algebraic nth term for the sequence of triangular numbers. This would be an excellent way of introducing how to find the nth term of quadratic sequences as pupils will be familiar with the triangular numbers sequence.
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A bundle is a package of resources grouped together to teach a particular topic, or a series of lessons, in one place.
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KS3/GCSE Maths Triangular Numbers Revision Pack
A handy resource pack which includes 2 investigations on triangular numbers: 1 designed to introduce to pupils to the sequence (this resource links with properties of shape) and the other to help pupils understand the derivation of the formula for the nth term of the triangular numbers sequence (this resource links to finding the nth term of quadratic sequences, simplifying expressions and factorising). Also included is a revision sheet covering all the content of triangular numbers in the curriculum including the properties of the sequence, finding the nth term of it and worked examples of exam questions involving triangular numbers.
£8.00
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Huge Set of KS3/GCSE Maths Investigations
A set of 6 investigations (complete with teacher notes and worksheets) where students are set a challenging problem and work to find the solution. Each investigation should take up a whole lesson. The first investigation focuses mainly on probability and gets pupils to find the total possible number of half-time scores if given the full-time score, eventually finding a formula connecting the two. The second connects geometry and algebra, getting pupils to generate a formula which links the total possible number of triangles with a given perimeter. The third investigation gets pupils to discover the origins of square numbers whilst the fourth gets students to calculate the optimum rate (using compound interest) at which interest should be added to money in order to achieve maximum interest. The bundle concludes with a pair of investigations on triangular numbers, the first helping pupils to appreciate the properties of the sequence and the second which gets pupils to discover the derivation for the nth term of the triangular number sequence.
£6.50
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£4.00