Geometric thinking resources

Students use the angle properties of parallel lines to work out angles in a grid of parallel streets with one angle given.

Students identify the viewpoint from which an isometric drawing of a plan of blocks has been drawn and then make their own isometric drawing from a different viewpoint.

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 the angle-in-a-semicircle property, and the sum of the angles in a triangle to find unknown angles.

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.

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 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.

Students use their knowledge of angle properties of parallel lines and angles on a straight line to identify similar angles and to calculate the sum of three angles giving appropriate explanations.

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 their knowledge of angle properties to identify missing angles identified on a street map.

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

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

Students identify which of 5 triangles fits a given description.

Students draw diagrams to demonstrate their understanding of three angle properties: angles at a point, adjacent angles on a straight line and vertically opposite angles.

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

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 calculate the size of marked angles using their knowledge of angle properties: the angle between a tangent and a radius, the sum of angles in a triangle and the sum of angles in a quadrilateral.

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

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