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| === Prerequisites/Instructions, prior preparations, if any === | | === Prerequisites/Instructions, prior preparations, if any === |
| + | Prior knowledge about 2D shapes and its properties |
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| === Materials/ Resources needed === | | === Materials/ Resources needed === |
| + | Digital: Laptop, geogebra file, projector and a pointer. |
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| === Process (How to do the activity) === | | === Process (How to do the activity) === |
| {{Geogebra|g7crjrpd}} | | {{Geogebra|g7crjrpd}} |
− | | + | * "What are some shapes that you know?" |
− | 1. "What are some shapes that you know?"
| + | * Show picture of 2d and 3d and ask difference among shapes, What's the difference between 2D and 3D shapes? |
− | | + | * Invite students to share the names of 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?
| + | * What are 3 D shapes? |
− | | + | * Visualizing solid shapes is a very useful skill. You should be able to see ‘hidden’parts of the solid shape. |
− | 3. Invite students to share the names of 2D and 3D shapes
| + | * Different sections of a solid can be viewed in many ways: |
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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 | | (a) One way is to view by cutting or slicing the shape, which would result in the |
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| (b) Another way is by observing a 2-D shadow of a 3-D shape. | | (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 | + | (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. |
− | side-view and the top-view can provide a lot of information about the shape
| + | * 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." |
− | 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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− | {{Geogebra|uk9caecz}}
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− | Do you remember the Faces, Vertices and Edges of solid shapes
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− | 6. Students recall the terms edge, vertex, and face.
| + | {{Geogebra|uk9caecz}} |
| + | * Do you remember the Faces, Vertices and Edges of solid shapes |
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| + | * Students recall the terms edge, vertex, and face. |
| Face- part of a 3D shape that is flat | | Face- part of a 3D shape that is flat |
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| Base – the bottom base of a 3D shape | | Base – the bottom base of a 3D shape |
− | | + | * 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?
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| '''Cuboid''' | | '''Cuboid''' |
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| {{Geogebra|xwfryemq}} | | {{Geogebra|xwfryemq}} |
− | | + | # How many sides does a cuboid have ? |
− | 10. Observe that shapes have two or more than two identical(congruent)faces?name them?
| + | # Are all sides the same ? |
| + | # Point to its vertices. How many vertices does a cuboid have ? |
| + | # Point to its edges and faces. How many are there ? |
| + | # What is the shape of each of its face ? So how many squares and rectangles are there in a cuboid ? |
| + | # Observe that shapes have two or more than two identical(congruent)faces?name them? |
| + | # What are the properties of a cuboid ? |
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| '''Cube''' | | '''Cube''' |
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| {{Geogebra|efqkt9am}} | | {{Geogebra|efqkt9am}} |
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− | 11. Which solids has all congruent faces? | + | # How many sides does a cube have ? |
| + | # Are all sides the same ? |
| + | # Point to its vertices. How many vertices does a cube have ? |
| + | # Point to its edges and faces. How many are there ? |
| + | # What is the shape of each of its face ? So how many squares are there in a cube ? |
| + | # Which solids has all congruent faces? |
| + | # What are the properties of a cube ? |
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| '''Cylinder''' | | '''Cylinder''' |
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| {{Geogebra|p6fv452u}} | | {{Geogebra|p6fv452u}} |
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− | 12. What shape is the base of a cylinder?
| + | # How many bases are in a cylinder? |
| + | # What shape is the base of a cylinder? |
| + | # How many edges does a cylinder have ? |
| + | # How many vertices does a cylinder have ? |
| + | # How many faces does a cylinder have ? |
| + | # What are the properties of a cylinder? |
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| '''Cone''' | | '''Cone''' |
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| {{Geogebra|a74exedh}} | | {{Geogebra|a74exedh}} |
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| + | # What shape is the base of a cone? |
| + | # How many edges does a cone have ? |
| + | # How many vertices does a cone have ? |
| + | # How many faces does a cone have ? |
| + | # What are the properties of a cone? |
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| '''Sphere''' | | '''Sphere''' |
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| {{Geogebra|m7hwxbp7}} | | {{Geogebra|m7hwxbp7}} |
| + | # How many edges does a sphere have ? |
| + | # How many vertices does a sphere have ? |
| + | # How many faces does a sphere have ? |
| + | # What are the properties of a sphere? |
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− | 13. Does the base of the shape change depending on how the shape is positioned?
| + | * Does the base of the shape change depending on how the shape is positioned? |
− | | + | * 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. |
− | 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. | | Cuboidal box – all six faces are rectangular, and opposites faces are identical. So there are three pairs of identical faces. |
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| Cylindrical Box – One curved surface and two circular faces which are 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. ''' ''' |
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| + | '''Euler’s formula for Polyhedrons (F+V=E+2)''' |
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| + | {{Geogebra|bhseqkhj}} |
| + | * What are polyhedrons? |
| + | Polyhedrons - Is a 3D solid which with flat polygonal faces, straight edges and sharp corners or vertices. |
| + | * Identify number of edges, faces and vertices in a given polyhedron ? |
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− | '''A net is a sort of skeleton-outline in 2-D, which, when folded results in a 3-D shape. '''
| + | * Calculate F+V and E+2 |
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− | '''Euler’s formula : F+V=E+2 for Polyhedrons.'''
| + | * F+V = E+2 (Euler's Formula or Polyhedral formula) |
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− | {{Geogebra|bhseqkhj}}
| + | * F+V-E=2 |
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| + | * The number of faces plus the number of vertices minus the number of edges equals 2. |