This investigation (includes teacher notes and worksheets) is suited to very able KS4 groups and those in KS5 studying Maths. It covers the topics of convergence, subject of a formula and even can be expanded to iteration for more advanced learners.
Pupils are given a starting value of a sequence, which they multiply by 3, add 10 to then and finally divide by 4 to generate the next term in the sequence. They then multiply this value by 3, add ten to it and divide by 4 to get the next term and so forth, generating the sequence in an iterative manner until the sequence converges.
The goal of this investigation is to find a relationship between the initial starting value of the sequence and that which it converges to. This can be explained in a satisfying algebraic way using subject of the formula although pupils may offer other alternative explanations.
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KS3/KS4 Maths Algebra Resources
This bundle contains a set of materials to help teachers prepare and deliver lessons on KS3 and KS4 Algebra topics in Maths. Included in this bundle is a couple of investigations on convergence and algebraic formulae (with worksheets included), a comprehensive bank of GCSE higher exam questions for quadratic equations and a couple of powerpoints for whole lessons on constructing and solving linear equations and writing equations and formulae.
£6.00
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KS3 and GCSE Maths Algebra Resources
This bundle contains a set of materials to help teachers plan and deliver lessons for KS3 and GCSE Maths on Algebra topics. Included in the bundle are full lessons on constructing and solving linear equations, rearranging formulae, a bank of exam questions for quadratics, acceleration and velocity and general set for KS3 algebra topics. It also contains a set of investigations which involve significant algebraic content on topics such as convergence, compound interest and factors.
£7.00
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