Angles - Progression Points

Dimension

Level

Progression Point

Space

2.5

• Representation of angles formed dynamically; for example, between the hands of a clock or between their own limbs, and explanations of these angles in terms of simple fractions of a complete revolution

2.75

• Construction of a model for an angle using rotation of lines

3.0 Standard

… Students recognise angles are the result of rotation of lines with a common end-point.

3.25

• Recognition of angles between lines, particularly when lines are parallel or perpendicular

3.5

• Classification and sorting of two-dimensional shapes using the properties of lines (curvature, orientation and length) and angles (less than, equal to, or greater than 90°)

3.75

• Construction of a copy of a shape, given details about side lengths and angles
• Knowledge that the sum of angles at a point on a straight line is 180°

4.0 Standard

… Students classify and sort shapes and solids (for example, prisms, pyramids, cylinders and cones) using the properties of lines (orientation and size), angles (less than, equal to, or greater than 90°), and surfaces

4.5

• Use of angle facts for a triangle

5.0 Standard

… Students describe and apply the angle properties of regular and irregular polygons, in particular, triangles and quadrilaterals

5.25

• Application of the angle properties of parallel lines and transversals to other geometrical problems

5.5

• Investigation of angle properties of circles and tangents

6.0 Standard

… Students recognise the features of circles (centre, radius, diameter, chord, arc, semi-circle, circumference, segment, sector and tangent) and use associated angle properties.

Measurement, chance and data

2.75

• Estimation of angle in terms of quarter turns and half turns

3.25

• Estimation and measurement of angles in degrees to the nearest 10°

3.5

• Awareness of the accuracy of measurement required and the appropriate tools and units

4.0 Standard

… Students measure angles in degrees

4.25

• Determination of the internal and external angle sums for a polygon and confirmation by measurement

4.5

• Use of appropriate units and measurement of length, perimeter, area, surface area, mass, volume, capacity, angle, time and temperature, in context

6.0 Standard

… Students use degrees and radians as units of measurement for angles and convert between units of measurement as appropriate.