Difference between revisions of "Visualising solid shapes"
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=== Process (How to do the activity) === | === Process (How to do the activity) === | ||
| − | 1. "What are some shapes that you know?" | + | {{Geogebra|g7crjrpd}} |
| + | |||
| + | 1. "What are some shapes that you know?" | ||
2. Show picture of 2d and 3d and ask difference among shapes, What's the difference between 2D and 3D shapes? | 2. Show picture of 2d and 3d and ask difference among shapes, What's the difference between 2D and 3D shapes? | ||
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Draw these views using pencil in your maths books, with a title "Top, side and bottom views of objects." | Draw these views using pencil in your maths books, with a title "Top, side and bottom views of objects." | ||
| − | + | {{Geogebra|uk9caecz}} | |
| + | |||
| + | Do you remember the Faces, Vertices and Edges of solid shapes | ||
6. Students recall the terms edge, vertex, and face. | 6. Students recall the terms edge, vertex, and face. | ||
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Edge-two faces meet at a line segment( A line where two faces meet in 3D shape) | Edge-two faces meet at a line segment( A line where two faces meet in 3D shape) | ||
| − | Vertex- three or more edges meet at a | + | Vertex- three or more edges meet at a pointuk9caecz |
Base – the bottom base of a 3D shape | Base – the bottom base of a 3D shape | ||
7. Can you see that, the two-dimensional figures can be identified as the faces of the three-dimensional shapes? | 7. Can you see that, the two-dimensional figures can be identified as the faces of the three-dimensional shapes? | ||
| + | |||
| + | '''Cuboid''' | ||
| + | |||
| + | {{Geogebra|xwfryemq}} | ||
10. Observe that shapes have two or more than two identical(congruent)faces?name them? | 10. Observe that shapes have two or more than two identical(congruent)faces?name them? | ||
| + | |||
| + | '''Cube''' | ||
| + | |||
| + | {{Geogebra|efqkt9am}} | ||
11. Which solids has all congruent faces? | 11. Which solids has all congruent faces? | ||
| + | |||
| + | '''Cylinder''' | ||
| + | |||
| + | {{Geogebra|p6fv452u}} | ||
12. What shape is the base of a cylinder? | 12. What shape is the base of a cylinder? | ||
| + | |||
| + | '''Cone''' | ||
| + | |||
| + | {{Geogebra|a74exedh}} | ||
| + | |||
| + | '''Sphere''' | ||
| + | |||
| + | {{Geogebra|m7hwxbp7}} | ||
13. Does the base of the shape change depending on how the shape is positioned? | 13. Does the base of the shape change depending on how the shape is positioned? | ||
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'''Euler’s formula : F+V=E+2 for Polyhedrons.''' | '''Euler’s formula : F+V=E+2 for Polyhedrons.''' | ||
| + | |||
| + | {{Geogebra|bhseqkhj}} | ||
Revision as of 12:37, 5 June 2021
Objectives
1. Understanding the difference between 2D figures and 3D figures
2. Identify views of 3D objects
3. Make a connection between everyday objects and 3D shapes
4. Students will be able to describe 3D shapes
5. Verifying Euler’s formula for Polyhedrons.
Estimated Time
90 minutes
Prerequisites/Instructions, prior preparations, if any
Materials/ Resources needed
Process (How to do the activity)
Download this geogebra file from this link.
1. "What are some shapes that you know?"
2. Show picture of 2d and 3d and ask difference among shapes, What's the difference between 2D and 3D shapes?
3. Invite students to share the names of 2D and 3D shapes
4. What are 3 D shapes?
15. Visualizing solid shapes is a very useful skill. You should be able to see ‘hidden’parts of the solid shape.
Different sections of a solid can be viewed in many ways:
(a) One way is to view by cutting or slicing the shape, which would result in the
cross-section of the solid.
(b) Another way is by observing a 2-D shadow of a 3-D shape.
(c) A third way is to look at the shape from different angles; the front-view, the
side-view and the top-view can provide a lot of information about the shape
observed.
-Rotate the object to find a top, side and bottom view of the solid.
Draw these views using pencil in your maths books, with a title "Top, side and bottom views of objects."
Download this geogebra file from this link.
Do you remember the Faces, Vertices and Edges of solid shapes
6. Students recall the terms edge, vertex, and face.
Face- part of a 3D shape that is flat
Edge-two faces meet at a line segment( A line where two faces meet in 3D shape)
Vertex- three or more edges meet at a pointuk9caecz
Base – the bottom base of a 3D shape
7. Can you see that, the two-dimensional figures can be identified as the faces of the three-dimensional shapes?
Cuboid
Download this geogebra file from this link.
10. Observe that shapes have two or more than two identical(congruent)faces?name them?
Cube
Download this geogebra file from this link.
11. Which solids has all congruent faces?
Cylinder
Download this geogebra file from this link.
12. What shape is the base of a cylinder?
Cone
Download this geogebra file from this link.
Sphere
Download this geogebra file from this link.
13. Does the base of the shape change depending on how the shape is positioned?
14. Observe the shape of each face and find the number of faces of the box that are identical by placing them on each other. Write down your observations.
Cuboidal box – all six faces are rectangular, and opposites faces are identical. So there are three pairs of identical faces.
Cubical box – All six faces are squares and identical
Cylindrical Box – One curved surface and two circular faces which are identical.
A net is a sort of skeleton-outline in 2-D, which, when folded results in a 3-D shape.
Euler’s formula : F+V=E+2 for Polyhedrons.
Download this geogebra file from this link.