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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.