1. MATHEMATICS Views

2. Aims of the Lesson To learn about 2D representations of 3D shapes. To learn about isometric drawings and views.

3. Drawings to show 3D Here is a drawing of a 3D shape It is an isometric drawing of a desk as it is drawn at an angle to demonstrate the 3D nature of the shape/object. FRONT

4. Flat ‘2D’ Views FRONT ELEVATION REAR ELEVATION Imagine looking flat on to the front of the table, with your eye-line level with the top edge of the table. You wouldn’t see the top flat surface of the table or the sides. You would see a flat 2D view of the front face as shown… Now imagine being behind the table looking flat on to the back of it, with your eye-line level with the top edge. Again, you wouldn’t see the top flat surface of the table or the sides. You would see a flat 2D view of the back face as shown...

5. More Views Now imagine standing on the left hand side of the table, eye-level with the top edge. You wouldn’t see the top, front or back faces. You would just see a flat 2D view of the left face as shown… Standing on the right hand side would give you a similar view too (but only as the table is symmetric!)… SIDE ELEVATIONS

6. Last two views… PLAN (from above) View from beneath Now imagine you are hanging from the ceiling looking directly down on to the top of the table. You would only see the top face as shown… And if the table was suspended above your head and you were looking directly upwards, you would see…

7. VIEWS without COLOURS When the 3D object does not have any distinguishing colours or your are simply drawing in black and white, the thickness of the lines you draw are important. Thicker lines are drawn to indicate items which are closer to you than others

8. VIEWS without COLOURS Here is a 2D line drawing representing a 3D situation This time it is an isometric drawing of a desk with a brick on it. The front and right faces of the brick line up with the front and right faces of the table. FRONT SIDE (from right)

9. VIEWS without COLOURS FRONT ELEVATION REAR ELEVATION SIDE ELEVATIONS From right From left This shows that the brick’s front face is in line with that of the table – all lines are the same thickness! This shows that the brick’s back face is NOT in line with the back of the table – it is further away so its lines are thinner than those of the back of the table! This shows that from the brick’s right face is in line with that of the table – all lines are the same thickness This shows that from the brick’s left face is NOT in line with the left face of the table – it is further away, so its lines are thinner that those of the left face of the table!

10. PLAN (from above) The top of the brick is higher and therefore closer to you when you are above the table and looking down at it. View from beneath The bottom of the table legs would be lower and therefore closer to you when you are under the table looking up at it. FRONT

11. What next? Print out the notes called Shape3. 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 > Plans and Elevations at: http://app.mymaths.co.uk/246-resource/plans-elevations http://app.mymaths.co.uk/246-homework/plans-elevations Save and complete the worksheet called Views-S1.xlsx Now move on to the Shape4 powerpoint