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Properties of Number

This SMILE resource contains three packs of games, investigations, worksheets and practical activities supporting the teaching and learning of the properties of number, and a booklet 'Squares and Primes'.

Properties of number pack one contains sixteen work cards with a wide variety of activities covering odd and even numbers, multiples, rectangle numbers, and factors.

Properties of number pack two contains twelve work cards with activities requiring students to explore prime numbers, find patterns in multiples , use the sieve of Eratosthenes to find prime numbers, investigate triangle numbers, and use factors.

Properties of number pack three contains fourteen work cards with activities involving multiplication patterns, finding prime factors, divisibility problems, number challenges, finding highest common factors and lowest common multiples, investigating quadratics and primes, rational and irrational numbers, and proof by contradiction.

Squares and Primes is a booklet investigating prime numbers, primes and factorials, proof, Euclid and Greek mathematics.

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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