These are the topics related to the standard: Draw, construct and describe geometrical
figures and describe the relationships between
Here are some specific activities, investigations or visual aids picked out. Click anywhere in the grey area to access the resource.
Click on a topic below for suggested lesson starters, resources and activities from Transum.
- Construction In a way this topic is quite different to all of the other topics in school mathematics. It requires a practical skill as well as the understanding of the geometrical concepts. It also requires a sharp pencil, a sturdy ruler and a decent pair of compasses.
Younger children should practise using the drawing instruments to make patterns. They will then progress to constructing accurate diagrams, plans and maps.
Older pupils are taught to derive and use the standard ruler and compass constructions for the perpendicular bisector of a line segment, the perpendicular to a given line from a given point and the bisector of a given angle.
- Geometry Geometry is a branch of mathematics concerned with
questions of shape, size, relative position of figures, and the properties of
space. Geometry arose independently in a number of early cultures as a body of
practical knowledge concerning lengths, areas, and volumes, with elements of a
formal mathematical science emerging in the West as early 6th Century BC.
See also the topics of
- Shape This topic is aimed at the learners of basic geometry, which is the study of size, shape and position. More than other areas of mathematics this topic helps pupils to learn about the definitions and properties of basic shapes.
There are many activities provided ranging from simple shape naming games to applying more advanced formulas and theorems. The most popular activities however are those involving pupils to count the number of triangles or rectangles in patterns and come up with effective strategies and justifications for their answers.
The work pupils produce for this topic can make very good display material. The use of colour can enhance the diagrams and make the learning environment more conducive to study. There are many connections between the mathematics of shape and Art. There are fascinating works of art based on symmetry, tessellations and transformations.
- Shape (3D) A particular skill is required to be able to excel in this area of Mathematics. Spatial awareness is important for solving multi-step problems that arise in areas such as architecture, engineering, science, art, games, and everyday life. Children have varying abilities visualizing three dimensional relationships but these abilities can be developed through practical activities and working through mathematical problems. Breaking down three dimensional situations into smaller two dimensional parts in an important strategy for problem solving.
See also the "Shape" Starters.