A line is a straight 1D figure that does not have a thickness, and it extends forever in both directions.

A ray is a part of a line with a fixed starting point that extends forever in one direction.

A line segment is a part of a line with a fixed start point and a distinct fixed end point.

Formal angle notation

Maths

Checking understanding of angles from KS2

Securing understanding of angles from KS2

Formalising understanding of triangles from KS2

Corresponding angles

Alternate angles

Co-interior angles

Angles on parallel lines traversed by a straight line

The sum of the interior angles of any triangle

Using the sum of the interior angles of a triangle

Interior angles of a polygon

Deriving the sum of interior angles in multiple ways

Exterior angles of polygons

Interior and exterior angles of regular polygons

Missing angles

Problem solving with polygons

This unit gives pupils the opportunity to explore polygons and begin to generalise their understanding of interior/exterior angles in regular polygons. In the future unit, pupils will use the geometrical properties of a rhombus to perform various constructions

In this unit, pupils learnt how to calculate with angles at a point and angles on a straight line. In this unit, pupils extend their knowledge about angles in lines

In this unit pupils will investigate internal and external angles of polygons and angles made with a transveral and parallel lines. Pupils will develop their ability to formally prove properties of polygons to generalise.

Geometrical properties: polygons

Which of these linear paths will pass through point X?

Match each angle given in three-point notation to the angle represented by a letter.

Match each angle given in three-point notation to its size.

$$\theta$$° = 87°. Match each type of angle to a correct angle from the diagram. 

Each square on this grid is one unit in length. Match the line segment to the correct description.

Which of these statements are true about this triangle?

This triangle is scalene. Which of these are possible values of $$b$$?

Which of these statements are correct for this triangle?

angles about a point on a straight line sum to 180°

This diagram shows two intersecting line segments. Match each angle or justification for the size of angles $$d$$° and $$e$$° to the correct value or statement.

half of the angle that is vertically opposite 156°

PQ and RS are straight line segments. Match each angle or justification for the size of angles $$g$$° and $$h$$° to the correct statement.

impossible to have this triangle with an angle of 40°

Three different triangles each have an angle of 40°. Match the name of each triangle to their possible angles.

Formal angle notation

Lesson outcome