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Place Value and Number Systems

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This SMILE resource contains three packs of games, investigations, worksheets and practical activities supporting the teaching and learning of place value and the number system, from identifying simple numbers to working with different number bases.

Place value and the number system pack one contains thirteen work cards with a wide variety of activities requiring students to solve basic number puzzles, order numbers, work with Egyptian numbers, calculate using simple clock arithmetic, and follow a flowchart to produce numbers.

Place value and the number system pack two contains six work cards with activities about Roman numerals, Bengali numbers, Urdu multiples and a Chinese number puzzle.

Place value and the number system pack three contains seven work cards covering Hindi additions, Panjabi numbers, Cuneiform numbers, binary fractions, and working in different number bases. 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.