3-D Shape Properties: Visualize, Sort, and Describe

1. Shape Revise and deepen understanding of properties of 3-D shapes Objectives Day 1 Identify, visualise and describe properties of 3-D shapes. Sort 3-D shapes according to their properties. Day 2 Visualise 3-D shapes from 2-D drawings. Describe properties of prisms and pyramids. Year 5

2. Shape Revise and deepen understanding of properties of 3-D shapes Starters Day 1 Find lines of symmetry (simmering skills) Day 2 Bonds to 100 (simmering skills) Year 5

3. Shape Revise and deepen understanding of properties of 3-D shapes Starter Find lines of symmetry Year 5

4. Shape Revise and deepen understanding of properties of 3-D shapes Starter • Bonds to 100 Year 5

5. Shape Revise and deepen understanding of properties of 3-D shapes Objectives Day 1 Identify, visualise and describe properties of 3-D shapes. Sort 3-D shapes according to their properties. Year 5

6. Day 1: Identify, visualise and describe properties of 3-D shapes; Sort 3-D shapes according to their properties. • Look at the cube and cuboid. What is the same about these two shapes and what is different? e.g. • What is the same? • Both have the same number of faces, vertices and edges. • Both have all flat faces. • Both have 3 pairs of parallel faces. What is different? The cuboid has some non-square rectangular faces, it is irregular. The cube has all squares faces, it is regular. Year 5

7. Day 1: Identify, visualise and describe properties of 3-D shapes; Sort 3-D shapes according to their properties. • Why can’t we use ‘has triangular faces’ and 'has square faces’ as the two labels for sorting? • How could we sort all of these shapes into two sets, so that every shape appears in one set, and one set only, i.e. there is no overlap? Carroll diagrams use two headings that are the opposite of one another (mutually exclusive), e.g. ‘has at least one triangular face’ and ‘has no triangular faces’; ‘is a prism’ and ‘is not a prism’; ’is regular’ and ‘is irregular’, ‘has at least one pair of parallel faces’ and ‘has no pairs of parallel faces’. • Remember that the faces are made from 2-D shapes (two dimensions) and the solids are called 3-D shapes (three dimensions). • Let’s sort the shapes according to your criteria… Year 5

8. Day 1: Identify, visualise and describe properties of 3-D shapes; Sort 3-D shapes according to their properties. Year 5

9. Day 1: Identify, visualise and describe properties of 3-D shapes; Sort 3-D shapes according to their properties. Year 5

10. Day 1: Identify, visualise and describe properties of 3-D shapes; Sort 3-D shapes according to their properties. Year 5

11. Day 1: Identify, visualise and describe properties of 3-D shapes; Sort 3-D shapes according to their properties. Year 5

12. Challenge Year 5

13. Shape Revise and deepen understanding of properties of 3-D shapes Objectives Day 2 Visualise 3-D shapes from 2-D drawings. Describe properties of prisms and pyramids. Year 5

14. Day 2: Visualise 3-D shapes from 2-D drawings: Describe properties of prisms and pyramids. How many of these 3-D shapes can you name? square-based pyramid cuboid triangular- based pyramid (tetrahedron) cone octahedron hemisphere sphere triangular prism cube Year 5

15. Day 2: Visualise 3-D shapes from 2-D drawings: Describe properties of prisms and pyramids. • What type of prism is a cuboid? • Is a cube a prism? There are lots of types of pyramid, with different 2-D shapes on their bases. There are lots of types of prisms, with different 2-D shapes at each ‘end’. • What do prisms have in common? • Let’s watch some animations of triangular, pentagonal and octagonal prisms. Look also at the animation of each prism net ‘folding up’ into the 3-D shape. • So a cylinder is not a prism! The two faces on either end are the same type of polygon (they have straight sides). These faces are joined by rectangles (which could include squares). Year 5

16. Day 2: Visualise 3-D shapes from 2-D drawings; Describe properties of prisms and pyramids. Now let’s watch some animations of triangular, pentagonal and octagonal-based pyramids. Look also at the animation of each pyramid net ‘folding up’ into the 3-D shape. • What do pyramids have in common? They have a polygon as one face, and triangles as the other faces. Year 5

17. Challenge Year 5

18. Shape Revise and deepen understanding of properties of 3-D shapes Well Done! You’ve completed this unit. Objectives Day 1 Identify, visualise and describe properties of 3-D shapes. Sort 3-D shapes according to their properties. Day 2 Visualise 3-D shapes from 2-D drawings. Describe properties of prisms and pyramids. Year 5

19. Problem solving and reasoning questions Always true, sometimes true or false? • A cube is a type of cuboid • Pyramids have 5 faces • Prisms have a cross-section that is always the same, so a cylinder is a prism • Cubes and cuboids have the same number of vertices How many edges has a… (a) Cuboid? (b) Square-based pyramid? (c) Cylinder? (d) Triangular prism? Year 5