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Programme Of Study For Key Stage 3 Mathematics

These are the Transum resources related to the statement: "Pupils should be taught to describe, sketch and draw using conventional terms and notations: points, lines, parallel lines, perpendicular lines, right angles, regular polygons, and other polygons that are reflectively and rotationally symmetric"

Here are some specific activities, investigations or visual aids we have picked out. Click anywhere in the grey area to access the resource.

- Angle Parallels Understand and use the relationship between parallel lines and alternate and corresponding angles.
- Constructions Construct the diagrams from the given information then check your accuracy.
- Polygon Angles A mixture of problems related to calculating the angles in polygons.
- Polygon Pieces Arrange the nine pieces of the puzzle on the grid to make the given polygon.
- Polygon Properties Connect the names of the polygons with all of their properties.
- Polygons Name the polygons and show the number of lines and order of rotational symmetry.
- Shapes In The Stars Join up the stars to find the hidden regular polygons.
- The Great Dodecahedron Pupils are not allowed to use their hands to point but must describe fully any shapes they can see in this picture.

Click on a topic below for suggested lesson starters, resources and activities from Transum.

- Geometry Geometry is a branch of mathematics concerned with questions of shape, size, relative position of figures, and the properties of space. Geometry arose independently in a number of early cultures as a body of practical knowledge concerning lengths, areas, and volumes, with elements of a formal mathematical science emerging in the West as early 6th Century BC. See also the topics of Angles, Area, Bearings, Circles, Enlargements, Mensuration, Pythagoras, Shape, Shape (3D), Symmetry, Transformations and Trigonometry.
- Shape This topic is aimed at the learners of basic geometry, which is the study of size, shape and position. More than other areas of mathematics this topic helps pupils to learn about the definitions and properties of basic shapes. There are many activities provided ranging from simple shape naming games to applying more advanced formulas and theorems. The most popular activities however are those involving pupils to count the number of triangles or rectangles in patterns and come up with effective strategies and justifications for their answers. The work pupils produce for this topic can make very good display material. The use of colour can enhance the diagrams and make the learning environment more conducive to study. There are many connections between the mathematics of shape and Art. There are fascinating works of art based on symmetry, tessellations and transformations.
- Symmetry This topic covers line symmetry and rotational symmetry. The innate appeal of symmetry can be found in our reactions to finding symmetry in natural objects, such as precisely formed crystals or seashells. Symmetry in art is another source of delight. Understanding the mathematics of symmetry is the focus of this topic. Accurately drawing the reflection of an object requires an understanding of the relative positions of reflected points. Defining the position of the mirror line is important to find the position and orientation of the reflection. The Wrapping Paper lesson starter makes it clear that for rotational symmetry, the position of the centre of rotation is very important. Work on this topic can produce some excellent display work!