Sequences

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This SMILE resource contains three packs of games, investigations, worksheets and practical activities supporting the teaching and learning of sequences, from finding the next two terms of a simple linear sequence to exploring the limits of sequences.

Sequences pack one contains thirteen work cards with a wide variety of activities covering forming linear sequences from pictures, describing sequences in words, finding term to term rules for sequences, and using sequences to draw patterns.

Sequences pack two contains fourteen work cards with activities requiring students to spot number patterns in spirals, investigate sequences which decrease in value, generate patterns from a formula, create sequences using pictures, and explore triangle patterns.

Sequences pack three contains nine work cards with activities in which students investigate Fibonacci type sequences, quadratic sequences using tables of differences, infinite sequences using fractions, limits of sequences and series geometrically.

SMILE (Secondary Mathematics Individualised Learning Experiment) was initially developed as a series of practical activities for secondary school students by practising teachers in the 1970s. It became a complete individualised scheme based around a network of activity cards and assessments.

Related resources include answers to all of the cards and test books and answers.

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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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