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| ==== Concept #5. Measurements in solid figures ==== | | ==== Concept #5. Measurements in solid figures ==== |
| + | '''Concept Map''' |
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| [[File:measurements_in_solids.mm|Flash|link=http://karnatakaeducation.org.in/KOER/en/index.php/File:Measurements_in_solids.mm]] | | [[File:measurements_in_solids.mm|Flash|link=http://karnatakaeducation.org.in/KOER/en/index.php/File:Measurements_in_solids.mm]] |
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| =====Activities===== | | =====Activities===== |
| ======[[Surface area of a cylinder]]====== | | ======[[Surface area of a cylinder]]====== |
| + | The shape can be thought of as a circular prism. Cylinder could be closed or open. Surface areas for a cylinder is investigated. |
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| ======[[Paint and fill the Cylinder]]====== | | ======[[Paint and fill the Cylinder]]====== |
| + | The shape can be thought of as a circular prism. Cylinder could be closed or open. Surface areas for a cylinder is investigated. |
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| ====Concept #4. Cone==== | | ====Concept #4. Cone==== |
| A cone is a three dimensional solid with a circular base that narrows toward a point, called its vertex. It has a flat circular base, has 1 side which is a curved surface. Shapes which resemble a cone are said to be conical. A cone has a lateral surface area which is the area of its curved surface. It has a total surface area which is the sum of the area of its curved surface and its circular base. | | A cone is a three dimensional solid with a circular base that narrows toward a point, called its vertex. It has a flat circular base, has 1 side which is a curved surface. Shapes which resemble a cone are said to be conical. A cone has a lateral surface area which is the area of its curved surface. It has a total surface area which is the sum of the area of its curved surface and its circular base. |
| =====Activities===== | | =====Activities===== |
| ======[[Surface area of a cone]]====== | | ======[[Surface area of a cone]]====== |
| + | Areas related to cone are introduced with geogebra sketch. |
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| ======Concept #6. Sphere====== | | ======Concept #6. Sphere====== |
| Sphere is a solid figure where all points are at an equal distance from the center point.It's a ball. It is perfectly symmetrical. It has no edges or vertices (corners). It is not a polyhedron. All points on the surface are the same distance from the center which is the radius "r" of the circular shape. Of all the shapes, a sphere has the smallest surface area for a volume. i.e it can contain the greatest volume for a fixed surface area. | | Sphere is a solid figure where all points are at an equal distance from the center point.It's a ball. It is perfectly symmetrical. It has no edges or vertices (corners). It is not a polyhedron. All points on the surface are the same distance from the center which is the radius "r" of the circular shape. Of all the shapes, a sphere has the smallest surface area for a volume. i.e it can contain the greatest volume for a fixed surface area. |
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| This activity has been taken from the website [http://www.ehow.com/info_7838171_classroom-activities-surface-area-sphere.html ehow.com] | | This activity has been taken from the website [http://www.ehow.com/info_7838171_classroom-activities-surface-area-sphere.html ehow.com] |
| ====Concept #7. Pyramid==== | | ====Concept #7. Pyramid==== |
− | A pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex. Each base edge and apex form a triangle. It is a conic solid with polygonal base. A triangular pyramid with all equilateral triangled faces becomes the regular tetrahedron, one of the Platonic solids. The base of a regular pyramid is a regular polygon and its faces are equally sized triangles. A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges. A right pyramid has isosceles triangles as its faces and its apex lies directly above the midpoint of the base. A pyramid is named based on its base as triangular pyramid, square pyramid or pentagonal pyramid. | + | A pyramid is a polyhedron formed by connecting a polygonal base and a point, called the apex. Each base edge and apex form a triangle. It is a conic solid with polygonal base. A triangular pyramid with all equilateral triangled faces becomes the regular tetrahedron, one of the Platonic solids. The base of a regular pyramid is a regular polygon and its faces are equally sized triangles. A pyramid with an n-sided base will have n + 1 vertices, n + 1 faces, and 2n edges. A right pyramid has isosceles triangles as its faces and its apex lies directly above the midpoint of the base. |
| =====Activities===== | | =====Activities===== |
| ======[[Surface area of a pyramid]]====== | | ======[[Surface area of a pyramid]]====== |
− | Investigating areas of all surfaces in a pyramid with this activity. | + | Investigating areas of surfaces in a pyramid is approached with this activity. |
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| ====Concept #8.Prism==== | | ====Concept #8.Prism==== |