An angle is a measure of turn. It is often displayed as the rotation between two line segments.

An angle that is greater than a straight line (i.e. greater than 180°) is a reflex angle.

Checking and securing understanding of angle notation and drawing/measuring angles

Maths

Checking and securing understanding of basic angle facts

Checking and securing understanding of advanced angle facts

Checking and securing understanding on chains of reasoning with angle facts

Checking and securing understanding of properties of shapes

Checking and securing understanding of polygons

Checking and securing understanding of interior angles

Checking and securing understanding of exterior angles

Forming equations with angles

Problem solving with angles

In this unit, pupils applied their understanding of angles to solve increasingly complex problems. In the future unit, pupils will use their mathematical reasoning to derive and use various circle theorems. 

In the prior unit, pupils learnt how to identify corresponding, alternate and co-interior angles. In this unit, pupils use their knowledge of these angles to reason through and solve more complicated problems.

In this unit pupils use their knowledge of corresponding, alternate and co-interior angles to reason through and solve more complicated problems.

Angles

A sector is the region formed between two radii and their connecting arc.

A transversal is a line, line segment, or ray that intersects through two or more lines at distinct (different) points.

Corresponding angles are a pair of angles at different vertices on the same side of a transversal in equivalent positions.

Alternate angles are a pair of angles both between or both outside two line segments that are on opposite sides of the transversal that cuts them.

Co-interior angles are on the same side of the transversal line and in between the two other lines.

Co-interior angles are on the same side of the transversal line and in between the two other line.

A parallelogram is a quadrilateral with two pairs of parallel and equal sides.

A rhombus is parallelogram where all the sides are the same length.

A trapezium is a quadrilateral with exactly one pair of parallel sides.

Equilateral triangles have three equal-sized angles and three edges of equal length. They are regular triangles.

Isosceles triangles have two angles that are equal. That is also true for its side lengths: two sides are of equal length.

A polygon is a flat (2D), closed figure made up of straight line segments.

A regular polygon has sides that are all equal and interior (inside) angles that are all equal.

An irregular polygon has sides that are not equal or interior (inside) angles that are not equal.

An interior angle is an angle formed inside a polygon by two of its edges.

An exterior angle is an angle on the outside of a polygon between an extension of an edge and the adjacent edge.

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