2 D 3 D shapes Properties of shapes

2 D & 3 D shapes: Properties of shapes – edges, vertices, faces, lines of symmetry. Drawing nets of cubes and cuboids July 2021. Kindly contributed by Nicola Smith, Gloucestershire College. Search for Nicola on www. skillsworkshop. org Please refer to the download page for this resource on skillsworkshop for detailed curriculum links and related resources. https: //www. skillsworkshop. org/resources/2 d_and_3 d_shapes_including_nets Adapted from a PPT by Fiona Plackett 2011: https: //www. skillsworkshop. org/resources/properties_of_shapes This PPT includes animated sequences & other features and should be run full screen. It is designed so that it can be printed out as a workbook. Reformed Functional Maths curriculum links include: E 2. 19 Recognise and name 2 -D and 3 -D shapes including pentagons, hexagons, cylinders, cuboids, pyramids, spheres E 2. 20 Describe properties of common 2 -D & 3 -D shapes including nos. of sides, corners, edges, faces, angles & base E 3. 19 Sort 2 -D and 3 -D shapes using properties including lines of symmetry, length, right angles, angles including in rectangles and triangles L 1. 24 Draw 2 D Shapes and demonstrate an understanding of line symmetry and knowledge of the relative size of angles L 1. 25 Interpret plans, elevations and nets of simple 3 -D shapes

2 D and 3 D Shapes Net drawings of cubes and cuboids Created by Nicky Smith

Today’s Learning Objectives: All: be able to identify properties of 2 D and 3 D shapes Most: Be able to draw accurate nets for cubes Some: Be able to draw accurate nets of other 3 D shapes. Created by Nicky Smith

Activity 1 2 D Shapes Identify these shapes. How many sides, vertices and symmetry do they each have? • Underneath each shape write the name and the number of edges and vertices. • Then draw on all the lines of symmetry for that shape. Created by Nicky Smith

Activity 2 Name the following 3 D shapes. A E B D C F H Created by Nicky Smith

Mathematical definitions • Faces – the individual surfaces of a 3 D shape • Vertex/vertices – corners • Edges – an edge joins one corner with another Created by Nicky Smith

Activity 3 Key words: Face, Edge, Vertex Complete the table on the next page Use the table on the next page to record how many faces, edges and vertices each 3 D shape has. A B CUBE E SPHERE F SQUARE-BASED PYRAMID D C CYLINDER G TETRAHEDRON Created by Nicky Smith CONE H CUBOID TRIANGULAR PRISM

Complete for Activity 3 3 D SHAPE FACES VERTICES/CORNERS Created by Nicky Smith EDGES

Activity 4 NETS What is the net of a shape? A net is a pattern that you can cut and fold to make a model of a 3 D shape. If you cut the shape above out and folded it along the lines, what 3 D shape would you make? Created by Nicky Smith

Activity 5: What 3 -D shape would these nets make? A B C D Created by Nicky Smith

Activity 6: Drawing nets 3 cm 2 cm 6 cm You then need to. THE draw DON’T FORGET First Next draw the side the two ends ofbase. the of TOP! The top is the Thisshape. the isas 2 These cm. The byare sides 6 cm. cuboid. 2 cm same the bottom – are 3 cm by 6 cm. by 2 cm by 6 cm

• • Drawing nets - continued Draw the base Draw in the sides Draw the two end faces Don’t forget the top! Q 2 Q 1 2 cm 4 cm 1 cm 9 cm 4 cm Q 3 Created by Nicky Smith 2 cm 7 cm 3 cm

4 cm 4 cm Q 1 Draw a net for this cube Each square represents 1 cm Created by Nicky Smith

Q 2 Draw a net for this cuboid. 2 cm 9 cm 1 cm Each square represents 1 cm

7 cm 2 cm 3 cm Q 3 Draw a net for this cuboid Each square represents 1 cm Created by Nicky Smith

Plenary 1) Name one everyday item that is the shape of each of the following: § Sphere § Triangular prism § Cylinder Created by Nicky Smith