1. MATHEMATICS 3D Shapes

2. Aims of the Lesson To identify the 4 main categories of 3D shapes. To recognise prisms, learn to given them their full mathematical name and recognise their nets. To recognise and pyramids, learn to give them their full mathematical name and recognise their nets. To recognise and polyhedra, learn to give them their full mathematical name and recognise their nets. To recognise circular 3D shapes, learn their correct mathematical names and recognise their nets.

3. PRISMS The end (or base) shape of a prism gives it its name All the other faces are RECTANGLES (Remember this when working on nets!)

4. Example 1 To draw: End shape first Parallel lines of equal length from each corner Join the ends of the parallel lines The above is a TRIANGULAR PRISM

5. Example 2 To draw: End shape first Parallel lines of equal length from each corner Join the ends of the parallel lines The above is a RECTANGULAR PRISM otherwise known as a CUBOID

6. Prism NETs The NET of a triangular prism The NET of a hexagonal prism

7. PYRAMIDS The base shape of the pyramid gives it its name All the other faces are TRIANGLES (Remember this when working on nets!)

8. Example 1 To draw: Base shape first (flat) Choose a position for the top point of the pyramid Join each of the base’s vertices to the top point of the pyramid The above is a TRIANGLE-BASED PYRAMID otherwise known as a TETRAHEDRON

9. Example 2 To draw: Base shape first (flat) Choose a position for the top point of the pyramid Join each of the base’s vertices to the top point of the pyramid The above is a SQUARE-BASED PYRAMID

10. Pyramid NETs The NET of a square- based pyramid The net of a hexagon- based pyramid

11. POLYHEDRA ‘Poly’ means many and ‘hedron’ means face, so a polyhedron is a 3D shape with many faces (Technically all prisms and pyramids are also polyhedra) Proper polyhedra just have triangular faces (Remember this when working on nets!)

12. Example 1 To draw: Middle shape first A point above and below Join each vertex of the middle shape to each point The above is an OCTAHEDRON

13. NET This is the net of an octahedron

14. CIRCULAR 3D Shapes Sphere (or polyhedron with 1 face) Cone (or circle-based pyramid) Cylinder (or circular prism)

15. CIRCULAR 3D Shapes NET of a sphere: Sphere (or polyhedron with 1 face)

16. CIRCULAR 3D Shapes NET of a cylinder Cylinder (or circular prism)

17. CIRCULAR 3D Shapes NET of a cone Cone (or circle-based pyramid)

18. What next? Print out the notes called Shape2. Read through them and make sure you answer any questions. Work through the MyMaths lesson and its online homework called: Shape > 2D and 3D Shapes > 3D Shapes found at: http://app.mymaths.co.uk/242-resource/3d-shapes http://app.mymaths.co.uk/242-homework/3d-shapes Work through the MyMaths lesson and its online homework called: Shape > 2D and 3D Shapes > Nets of 3D Shapes found at: http://app.mymaths.co.uk/243-resource/nets-of-3d-shapes http://app.mymaths.co.uk/243-homework/nets-of-3d-shapes Now move on to the Shape3 powerpoint