Changing Conceptions of Shapes - Progression Points

Dimension

Level

Progression Point

Space

0.5

• Sorting of objects according to shape
• Naming of common two-dimensional objects according to geometrical shape

1.0 Standard

… Students sort geometric objects according to simple descriptions.

1.25

• Classification of shapes according to number of sides

1.5

• Recognition of congruence of two shapes

1.75

• Identification of the important features of two-dimensional shapes and use of these distinguishing features to compare and contrast various shapes

2.0 Standard

… Students arrange a collection of geometric shapes, such as a set of attribute blocks, into subsets according to simple criteria, and recognise when one set of shapes is a subset of another set of shapes.

They recognise and describe symmetry, asymmetry, and congruence in these shapes and objects.

3.0 Standard

… Students recognise and describe the directions of lines as vertical, horizontal or diagonal.

They recognise and describe polygons.

They recognise and name common three-dimensional shapes such as spheres, prisms and pyramids.

They identify edges, vertices and faces.

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°)

4.0 Standard

They describe the features of shapes and solids that remain the same (for example, angles) or change (for example, surface area) when a shape is enlarged or reduced.

4.25

• Classification of polygons with reference to a definition or a key property