M1Maths

Modules - Geometry

Level 1       Level 2       Level 3       Level 4       . . . . .       . . . . .

Level 1 is Years 5-7, Level 6 Years 11-12.

The Geometry strand is treated fairly conventionally, though experiences are designed to encourage the development of knowledge of theorems etc. through discovery rather than rote learning.

Modules:   G1:   Geometry - Level 1

Click the link in the second column for the required format. Word documents need to be downloaded and opened in Word to display properly. The second last column is the estimated time required to work through the module; the last column is the pre-requisite Level 1 modules.

Drawings

• plans and elevations, perspective drawings, cross sections and nets

Angles

• estimating, measuring and constructing angles

• the meaning of turn and angle

Position

• describing position using eight compass points, distance and bearing, coordinates and latitude and longitude

Modules:   G2:   Geometry - Level 2

Click the link in the second column for the required format. Word documents need to be downloaded and opened in Word to display properly. The second last column is the estimated time required to work through the module; the last column is the pre-requisite Level 2 modules.

Maps and Scales

• making and reading maps and plans with legends and scales

Geometric Figures

• conventions for labelling geometric figures

• geometric theorems

Properties of Polygons

• polygon names

• internal angles

• types of triangles and their properties

• types of quadrilateral and their properties

Geometric Vocabulary

• words used in geometry

Transformations and Symmetry

• translations, reflections, rotations and dilations of points and shapes

• reflectional and rotational symmetry

Congruence

• the meaning of congruence

• tests for congruence of triangles

Modules:   G3:   Geometry - Level 3

Click the link in the second column for the required format. Word documents need to be downloaded and opened in Word to display properly. The second last column is the estimated time required to work through the module; the last column is the pre-requisite Level 3 modules.

Similarity

• the meaning of similarity

• tests for similarity

• applications of similar triangles

Modules:   G4:   Geometry - Level 4

Click the link in the second column for the required format. Word documents need to be downloaded and opened in Word to display properly. The second last column is the estimated time required to work through the module; the last column is the pre-requisite Level 4 modules.

Geometric Proofs

• proving geometric statements using chains of reasoning

• circle theorems

Networks

• graphs, vertices, edges, traversability

• weighted graphs, shortest paths

Background image: https://pixabay.com/illustrations/beach-background-sea-ocean-3892386/ (cropped) (Creative Commons licence)