This SMILE resource contains two packs of games, investigations, worksheets and practical activities supporting the teaching and learning of trigonometry, from an investigation leading to Pythagoras’ theorem to using the sine and cosine rules.

Trigonometry pack one contains nine work cards with a wide variety of activities covering Pythagoras’ theorem including checking for right-angles, investigating the ratios of sides of right-angled triangles, and calculating gradients leading to the use of the tangent button on a calculator.

Trigonometry pack two contains fourteen work cards with activities requiring students to investigate the lengths of the opposite and adjacent sides of a right-angles triangle leading to the definitions of sine and cosine, investigate an extension to Pythagoras’ theorem, use the sine and cosine ratios to solve problems, using the sine and cosine rules, explore the graphs of the sine function, use trigonometry in three dimensions, and find the angle between planes.

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.

Show health and safety information

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.


You might also like


Published by


Share this resource

Lists that tag this content