Surface Area and Volume

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This SMILE resource contains two packs of games, investigations, worksheets and practical activities supporting the teaching and learning of surface area and volume, from counting the number of cubes in a solid to find the volume to finding maximum volumes of a solid.

Surface area and volume pack one contains nine work cards with a wide variety of activities covering finding volume by counting cubes and counting layers, finding a method to calculate the volume of a cuboid given the dimensions, and finding the volume of a pyramid.

Surface area and volume pack two contains eleven work cards with activities requiring students to use a formula to find the volume of a cuboid, calculate the volume of prisms, investigate the depths of liquid in different shaped tanks, calculate the volume and surface areas of cylinders, find expressions for the surface area and volume of different solids, calculate the surface area of cones, pack spheres into prisms, and optimise the volume of shapes.

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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