Download 3DShapesLP

mr-mathematics.com
Lesson Planning Sheet
Title: Properties of 3D Shapes
Learning Objectives:
By the end of the lesson:
All students should be able to recognise the vertices, faces and edges properties of 3D shapes in the
form of a solid.
 Most students should be able to recognise the vertices, faces and edge properties of 3D shapes in the
form of a net.
 Some students should be able to visualise the properties of complex 3D shapes.
Key words: Vertices/Vertex, Edge, Face, Solid, Net

Learning Activities
Resources:
Starter/Introduction
Students are encouraged to examine a simple 2D diagram in detail by looking for various
triangles. To support the students with highlighting particular areas and ignoring others it is
useful for them to working either on a blank sheet of paper with a pencil and highlighter
or mini-whiteboards. Try to discourage students from working solely in their head since it is
likely they will either miss triangles or miscount.
3D Shapes
MiniWhiteboards
Plain A4
paper
Pencils
Erasers
Card
Development
It will be very useful to have a collection of 3D shapes for this lesson so that students are
able to rotate them in order to identify unseen faces, vertices and edges. Have the class
nominate a shape to examine and discuss it’s properties. Students may need to recap
the meaning of the keywords. For example, a vertex (corner) the pluralised to Vertices.
Discuss the properties of a Sphere and what makes a prism a prism. To extend the idea of
recognising the solids the teacher could provide the properties and have students name
the shape. To extend further, the properties of a shape that is not presented on the
board could be given.
Once the table is completed, ask students how the cube and cuboid are different since
they have the same properties. Ideally, they could refer to the type of faces.
For the third slide encourage the students to visualise the properties of the nets without
making them into solids. Once they have attempted doing so they could create the solid
to check their solutions.
Plenary
The final slide, which was a previous UK Maths Challenge question, is intended very much
as an extension to the concept of 3D properties. Students will find the shape difficult to
draw and will therefore have to work visually. However, some students may be able to
draw the solid on mini-whiteboards or in their book. Students will have lots of different
ways to attempt the problem so they should be encouraged to share ideas in order to
check their final solution. Have students with different answers present their method to
the class.
Differentiation
More able:
 Most able students should be able to attempt the problems without the solid given to them.
 Pose problems where a basic shape is dissected at an angle to create two different solids and
have the students investigate how that effects the properties of the original.
Less Able
 Students would benefit from having the solids to hand so that they can work kinaesthetically.
 Creating a solid from a net will enable the students to gain a deeper understanding of the origins
the properties.