Geometric thinking resources

Students enlarge a diagram to a given scale.

For this task students are required to record, in a table, the compass bearings of objects shown on a submarine radar screen. Distances from the submarine are also recorded.

Students enlarge a shape made of cubes and explore the relationship between the scale factor and volume.

Students identify the correct resultant vector of two component vectors, and also identify the correct diagram of a vector that is written in column form.

Students compare the area of two different triangles.

From diagrams of four original and enlarged drawings to be used for Christmas wrapping paper, students identify the scale factor used and find a missing length on either the enlarged picture or the original picture.

From two different street sign pictures and their enlargements, students are to identify the scale factor of each enlargement and either a missing length or the missing factor when enlarging the area.

Students enlarge a shape on a grid and explore the relationship between scale factor and area.

Students calculate increases in length, area, and volume, and relate this to the scale factor for an enlargement.

Students calculate the scale factor and length of one side of a building extension, then draw in a different extension from a given scale factor.

Students identify which of 5 triangles fits a given description.

Students use Pythagoras' theorem to decide whether triangles are right-angled based on the lengths of their sides.

Students use Pythagoras' theorem to find the unknown sides of right-angled triangles in three practical problems.

Using a diagram of a regular hexagon, students calculate its interior and exterior angles.

Students calculate the interior and exterior angles of a regular octagon and explain their calculations.

Students use vectors and select correct vector diagrams for practical problems.

Students use their knowledge of the interior angles of regular polygons, isosceles triangles, and parallelograms to work out unknown angles for a variety of 2-dimensional shapes.

Students use their knowledge of the angle between a tangent and radius property and the sum of the angles in a quadrilateral to work out unknown angles in a diagram and explain their workings.

Students complete statements which explore the relationship between scale factor enlargements and length, area, and volume of 2 and 3 dimensional shapes.

Students identify the centre of rotation and the number of degrees through which a rectangle has been rotated. They then rotate it in a different direction.

In a shape made up of triangles, students identify lines of symmetry for pairs of triangles and identify pairs of triangles which reflect through a line of symmetry.

Students identify vectors that describe shape translations.

Students use the angle between a tangent and a radius property and the base angles in an isosceles triangle property to find an unknown angle and to explain why line segments are of equal size.

Students use their knowledge of the sum of the interior angles of polygons to work out unknown angles for a variety of 2-dimensional shapes.

Using shapes on grids, students translate points by different vectors.