Fitting Shapes Together - Progression Points

Dimension

Level

Progression Point

Space

0.5

  • Sorting of objects according to shape
  • Matching of shapes to solve puzzles; for example, jigsaw puzzles
  • Naming of common two-dimensional objects according to geometrical shape
  • Use of the terms next to, beside or in front of to describe their own location relative to other students

1.0 Standard

… Students identify basic two-dimensional shapes such as triangles, circles and squares and three-dimensional solids and objects such as boxes and balls.

They sort geometric objects according to simple descriptions.

They place and orientate shapes according to simple descriptions such as next to, beside, in front of, behind, over and under.

2.0 Standard

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

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

They accurately draw simple two-dimensional shapes by hand and construct, copy and combine these shapes using drawing tools and geometry software.

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

2.25

  • Use of instructions to create tessellations such as in paving and brickwork patterns

2.5

  • Identification of shapes in terms of faces, edges and vertices
  • 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

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

4.0 Standard

… Students classify and sort shapes and solids using the properties of lines (orientation and size), angles (less than, equal to, or greater than 90°), and surfaces.

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

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

Working Mathematically

0.5

  • Verbal description of simple patterns and extension of these patterns

1.0 Standard

… Students explore patterns in number and space by manipulating objects according to simple rules (for example, turning letters to make patterns like bqbqbq, or flipping to make bdbdbdbd).

They use drawing tools such as simple shape templates and geometry software to draw points, lines, shapes and simple patterns.

They copy a picture of a simple composite shape such as a child’s sketch of a house.

2.25

  • Identification of pattern and similarity in data sets and shapes, and use of pattern, often by observing a set of simpler situations, as a problem solving strategy
  • Use of technology to create and manipulate shapes and simple maps

Measurement, chance and data

1.0 Standard

… Students compare length, area of familiar objects using descriptive terms such as longer.

They make measurements using informal units such as paces for length, handprints for area.

2.0 Standard

… Students make, describe and compare measurements of length, area.

They use the standard units of metres, kilograms and seconds.

4.0 Standard

… Students use metric units to estimate and measure length, perimeter, area..

They measure angles in degrees.