Maths Scope and Sequence: Shape and Space (Geometry)

Here is the scope and sequence we will be following for our Geometry unit in mathematics.

Shape and space

The regions, paths and boundaries of natural space can be described by shape. An understanding of the interrelationships of shape allows us to interpret, understand and appreciate our two-dimensional (2D) and three-dimensional (3D) world.

Overall expectations

Phase 3

Learners will sort, describe and model regular and irregular polygons, developing an understanding of their properties. They will be able to describe and model congruency and similarity in 2D shapes. Learners will continue to develop their understanding of symmetry, in particular reflective and rotational symmetry. They will understand how geometric shapes and associated vocabulary are useful for representing and describing objects and events in real-world situations.

Phase 4

Learners will understand the properties of regular and irregular polyhedra. They will understand the properties of 2D shapes and understand that 2D representations of 3D objects can be used to visualize and solve problems in the real world, for example, through the use of drawing and modelling. Learners will develop their understanding of the use of scale (ratio) to enlarge and reduce shapes. They will apply the language and notation of bearing to describe direction and position.

Learning outcomes

When constructing meaning learners:

• understand the common language

used to describe shapes

• understand the properties of regular

and irregular polygons

• understand that lines and axes of

reflective and rotational symmetry

assist with the construction of shapes

• understand an angle as a measure of

rotation

• understand that visualization of shape

and space is a strategy for solving

problems.

When transferring meaning into

symbols learners:

• sort, describe and model regular and

irregular polygons

• describe and model congruency and

similarity in 2D shapes

• analyse angles by comparing and

describing rotations: whole turn; half

turn; quarter turn; north, south, east

and west on a compass

• describe and/or represent mental

images of objects, patterns, and

paths.

• create and model how a 2D net

converts into a 3D shape and vice

versa

When applying with understanding

learners:

• analyse and describe 2D and 3D

shapes, including regular and

irregular polygons, using geometrical

vocabulary

• identify, describe and model

congruency and similarity in 2D

shapes

• recognize and explain symmetrical

patterns, including tessellation, in the

environment

• apply knowledge of transformations

to problem-solving situations.