Angles in Circles - Progression Points

Dimension

Level

Progression Point

Space

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.

5.5

• Recognition of the features of circles (centre, radius, diameter, chord, arc, semi-circle, circumference, segment, sector and tangent) and the associated angle relationships
• 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.

Working mathematically

4.25

• Consideration of evidence to support theorems; for example, in geometry

4.5

• Development of deductive proof to reach new conclusions

4.75

• Exploration of geometrical propositions using technology

5.0 Standard

… Students develop generalisations by abstracting the features from situations and expressing these in words and symbols.

5.5

• Justification or proof of generalisations made from specific cases
• Selection and use of technology to explore geometrical relationships

6.0 Standard

… Students formulate and test conjectures, generalisations and arguments in natural language and symbolic form.

They follow formal mathematical arguments for the truth of propositions.