Congruence from Rotations and Reflections - Progression Points

Dimension

Level

Progression Point

Space

1.5

• Recognition of congruence of two shapes

2.0 Standard

… Students recognise lines, surfaces and planes, corners and boundaries; familiar two-dimensional shapes including rectangles, rhombuses and hexagons, and three-dimensional shapes and objects including pyramids, cones, and cylinders.

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

3.5

• Construction of transformed shapes and patterns by stamping, folding and rotating

4.0 Standard

… Students apply a range of transformations to shapes and create tessellations using tools (for example, computer software).

4.25

• Knowledge of how features (for example, an angle) change, or not, when a shape undergoes a transformation (for example, a rotation)

4.5

• Identification of congruent shapes

5.0 Standard

… Students recognise congruence of shapes and solids.

5.25

• Knowledge of sets of conditions for pairs of triangles to be congruent

6.0 Standard

… Students use the conditions for shapes to be congruent or similar.

They apply isometric and similarity transformations of geometric shapes in the plane.