Use correctly the vocabulary, notation and labelling conventions for lines, angles and shapes.

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.

Use angle measure; distinguish between and estimate the size of acute, obtuse and reflex angles.

Use a ruler and protractor to:

measure and draw lines to the nearest millimetre and angles, including reflex angles, to the nearest degree;

construct a triangle given two sides and the included angle (SAS) or two angles and the included side (ASA).

Core:

Identify alternate angles and corresponding angles; understand a proof that:

the sum of the angles of a triangle is 180° and of a quadrilateral is 360°;

the exterior angle of a triangle is equal to the sum of the two interior opposite angles

Use straight edge and compasses to construct:

the mid-point and perpendicular bisector of a line segment;

the bisector of an angle;

the perpendicular from a point to a line;

the perpendicular from a point on a line.

Investigate in a range of contexts: shape and space.

Extension:

Explain how to find, calculate and use:

the sums of the interior and exterior angles of quadrilaterals, pentagons and hexagons;

the interior and exterior angles of regular polygons.

Solve problems using properties of angles, of parallel and intersecting lines, and of triangles and other polygons.

Know the definition of a circle and the names of its parts.

Use straight edge and compasses to construct a triangle, given right angle, hypotenuse and side (RHS).

Key Vocabulary:

Angles: angles at a point, angles on a straight line, base angles, corresponding, alternate, interior, exterior, equidistant, prove, proof, supplementary, complementary;

## Objectives:

Support: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.Core:Identify alternate angles and corresponding angles; understand a proof that:the sum of the angles of a triangle is 180° and of a quadrilateral is 360°;Use straight edge and compasses to construct:the mid-point and perpendicular bisector of a line segment;the bisector of an angle;the perpendicular from a point to a line;the perpendicular from a point on a line.Extension:Solve problems using properties of angles, of parallel and intersecting lines, and of triangles and other polygons.## Key Vocabulary:

## Suggested Lesson Outcomes:

SUPPORT

CORE## Framework:

## Teaching & Learning Resources:

Measuring Resources

Angles Resources

Proof Resources

Constructions Resources

Loci Resources

Imperial Resources