51ºÚÁÏ

Last updated

28 March 2025

docx, 36.88 KB
docx, 36.88 KB

An investigation (including teacher notes and worksheets) into the origins of square numbers which guides students to generate the square numbers sequence and observe the patterns within it. This investigation would be suitable for a wide variety of age groups including KS2, KS3 and GCSE.

In terms of differentiation, earlier stages of the investigation (looking at the patterns in the square numbers) may be more suitable for lower ability learners whereas the latter stages of the investigation (finding the nth term of a quadratic sequence) should stretch higher ability students.

Topics covered in this resource are mental arithmetic, properties of numbers, nth term (quadratic) and sequences.

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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/KS4 Maths Number Resources

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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