Geometry

Presentation Transcript

1. Geometry

   Three-Dimensional Shapes
2. Three-dimensional Shapes (3D) These shapes are solid or hollow. They have three dimensions – length, width and height.
3. Face Part of a shape that is flat.(Or curved) E.g. A cube has 6 of these.
4. Edge The line where two faces meet. E.g. A cube has 12 of these.
5. Vertex (Vertices) The place where three or more edges meet. This pyramid has 4 of these.
6. Cube A three-dimensional shape which has 6 square faces all the same size. Some faces parallel Some edges parallel Some faces perpendicular Some edges perpendicular
7. Face of a cube
8. 2 3 1 5 6 4
9. Rectangular Prism A three-dimensional shape which has 6 rectangular faces. Some faces parallel Some edges parallel Some faces perpendicular Some edges perpendicular
10. Faces of a rectangular prism
11. 3 1 2 2 4 1
12. Cone A three dimensional shape with a circle at its base and a pointed vertex. No parallel faces or edges No perpendicular faces or edges
13. Face of a cone
14. 1
15. Cylinder A three-dimensional shape with circular ends of equal size. Some faces parallel Some edges parallel Some faces perpendicular No edges perpendicular
16. Face of a cylinder
17. 1 1 2
18. Pyramid A three-dimensional shape which has a polygon for its base and triangular faces which meet at one vertex. E.g. Triangular pyramid Square pyramid Hexagonal pyramid Pentagonal pyramid
19. Face of a pyramid
20. Square base pyramid No faces parallel Some edges parallel No faces perpendicular Some edges perpendicular
21. 1 2 1 4 3
22. Sphere A perfectly round three-dimensional shape, like a ball. It has only one curved face. No parallel faces or edges No perpendicular faces or edges
23. Real World Representations 1. What solid shape does it represent? 2. How many faces does it have? 3. How many edges does it have? 4. How many vertices does it have? A cube 6 faces 12 edges 8 vertices
24. Real World Representations 1. What solid shape does it represent? 2. How many faces does it have? 3. How many edges does it have? 4. How many vertices does it have? A sphere 0 faces 0 edges 0 vertices
25. Real World Representations 1. What solid shape does it represent? 2. How many faces does it have? 3. How many edges does it have? 4. How many vertices does it have? A square pyramid 5 faces 8 edges 5 vertices
26. Real World Representations 1. What solid shape does it represent? 2. How many faces does it have? 3. How many edges does it have? 4. How many vertices does it have? A cylinder 2 faces 0 edges 0 vertices
27. Real World Representations 1. What solid shape does it represent? 2. How many faces does it have? 3. How many edges does it have? 4. How many vertices does it have? A rectangular prism 6 faces 12 edges 8 vertices
28. Real World Representations 1. What solid shape does it represent? 2. How many faces does it have? 3. How many edges does it have? 4. How many vertices does it have? A cone 1 faces 0 edges 1 vertex
29. Real World Representations
30. Creating 3- Dimensional Shapes Cut out the shape along the outer edge. Fold all the edges of the shape first. Use a small amount of glue on the shaded areas. Carefully fold and press the shaded areas to the back of the faces.