Step 5 Objective

Identify parallel and perpendicular lines; know the sum of angles at a point, on a straight line and in a triangle and recognise vertically opposite angles.


What if pupils find this a barrier?

happy learners

Show a diagram of a set of parallel lines with one or more transversals and use tracing paper to copy one of the angles. Find all the angles on the diagram that are equal to that angle.

Which angles involve turning the tracing paper and which angles don't?

Investigate cutting out the corners of different-sized triangles and demonstrating that the three corners fit on a straight line regardless of the size or shape of the triangle.

3 corners fit on a straight line

Investigate cutting out different quadrilaterals, tearing off the corners to demonstrate that the four angles meet at a point, with sum 360°.

diagram showing that opposite angles are equal when two straight lines cross

The two marked angles are equal. Cut them out, or trace them, and superimpose one on the other, to check this.