Vertical angles are pairs of opposite angles formed when two lines intersect at a point. They are equal.

A vertex is the point where two or more line segments meet. The plural is vertices.

Two shapes are similar if the only difference between them is their size. Their side lengths are in the same proportions.

Supplementary angles are a pair of angles that sum to 180°.

Conjugate angles are a pair of angles that sum to 360°.

Securing understanding of angles from KS2

Maths

Checking understanding of angles from KS2

Formalising understanding of triangles from KS2

Formal angle notation

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

TU is a line segment. Angle $$a$$° = {{ }}°.

These three angles lie around a point on a full turn. Angle $$b$$° is {{ }}°.

Angle $$c$$° and 59° are supplementary.

Angle $$c$$° and 59° are vertically opposite.

This diagram shows four angles around two line segments that meet at an intersection. Which of these statements are correct for angle $$c$$°?

Angle $$d$$° and 59° are supplementary.

Angle $$d$$° and 59° are vertically opposite.

This diagram shows four angles around two line segments that meet at an intersection. Which of these statements are correct for angle $$d$$?

PQ and RS are straight line segments. Angle $$e$$° = {{}}°.

PQ and RS are straight line segments. Match each angle to its size.

Complete the sentence: The two angles of 44° and 136° are   ____________   with each other.

The size of angle $$a$$ is measured accurately. Which of these statements could be accurate for angle $$a$$?

Match the pairs of angles to their description.

Angles $$b$$° and 172° are supplementary angles.

Angles $$b$$° and 172° are conjugate angles.

Which of these statements about this diagram are accurate?

QR is a line segment. Find the value of $$c+d+g+h$$.

Securing understanding of angles from KS2

Lesson outcome