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