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These resources have been reviewed and selected by STEM Learning’s team of education specialists for factual accuracy and relevance to teaching STEM subjects in UK schools.

# Angle Properties

This SMILE resource contains two packs of games, investigations, worksheets and practical activities supporting the teaching and learning of angle properties, from investigating the sum of the angles in a triangle to calculating the size of angles in a circle, and a separate booklet of geometric facts.

Angle properties pack one contains ten work cards with a wide variety of activities covering the sum of the angles in a triangle, angles on a straight line, angles at a point, the sum of the angles in a quadrilateral, angles in a regular hexagon, the sum of the internal angles of a polygon, the exterior angles of a polygon, and calculating the size of a missing angle.

Angle properties pack two contains twelve work cards with activities requiring students to find the sum of exterior angles of a polygon, explore the angles in shapes that tessellate, calculate the missing angles in triangles, identify acute and obtuse angles, investigate the sum of the interior angles in a polygon, investigate angles in semi-circles, explore the angles in a cyclic quadrilateral, and calculate the missing angles in circles.

Geometric facts, SMILE card 2163, is a booklet containing geometric facts about lines, angles, lines and angles, polygons and circles.

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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