Visualisation in 2 and 3 Dimensions - Progression Points

Dimension

Level

Progression Point

Space

1.25

• Recognition of lines, corners and boundaries in two-dimensional shapes
• Representation of squares, rectangles, circles and triangles using freehand drawing, templates and technology

1.75

• Identification of the important features of two-dimensional shapes and use of these distinguishing features to compare and contrast various shapes
• Production of simple patterns with transformations (flips, slides, turns)
• Decomposition of three-dimensional shapes into their respective nets; for example, by cutting up boxes

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 apply simple transformations to shapes (flips, turns, slides and enlargements) and depict both the original and transformed shape together

2.5

• Identification of shapes in terms of faces, edges and vertices
• Construction of prisms and pyramids from their two-dimensional nets

2.75

• Construction of balls (for example, tennis balls, footballs, soccer balls and beach balls) from flexible, two-dimensional pieces of material, and a template
• Representation of an object by drawing its plan

3.0 Standard

… Students use two-dimensional nets, cross-sections and simple projections to represent simple three-dimensional shapes.

3.5

• Construction or selection of possible objects given a plan (bird’s eye view) or an elevation (side view)
• Construction of transformed shapes and patterns by stamping, folding and rotating

3.75

• Use of two-dimensional isometric drawings of three-dimensional objects, noting how shapes are not always preserved; for example, squares become parallelograms

4.0 Standard

… Students create two-dimensional representations of three dimensional shapes and objects found in the surrounding environment.

They develop and follow instructions to draw shapes and nets of solids using simple scale.

4.25

• Construction of a plan, elevations and cross-sections for a three-dimensional object

4.75

• Knowledge of methods for creating the illusion of depth in a two-dimensional image, and description of the related process in geometrical terms
• Production and analysis of images based on projection from a point (one point perspective) and a line
• Equivalence of components of a three-dimensional object and its net; for example, vertices and nodes, arcs and edges, faces and regions

5.0 Standard

They use two-dimensional nets to construct a simple three-dimensional object such as a prism or a platonic solid.

They use single-point perspective to make a two-dimensional representation of a simple three-dimensional object.

5.25

• Use of two-dimensional nets and line-segment models to investigate regular, semi-regular and irregular solids

6.0 Standard

… Students represent two- and three-dimensional shapes using lines, curves, polygons and circles. They make representations using perspective, isometric drawings, nets and computer-generated images.