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→Concept #1 - Introduction to solid figures
[[File:Mensuration.mm|flash]]
[[File:Mensuration.mm|flash]]
===Additional Resources===
===Additional Resources===
==== Resource title ====
[http://www.mathopenref.com/tocs/solidtoc.html Mensuration]
====OER====
====OER====
#Web resources:
#Web resources:
This activity explores representation of actual distances on paper using proportional distances.
This activity explores representation of actual distances on paper using proportional distances.
====== [[Scale drawing - Part 1|Scale drawing - Part 2]] ======
====== [[Scale drawing - Part 2]] ======
Activity investigates how a blue print represents actual dimensions.
Activity investigates how a blue print represents actual dimensions.
==== Concept #5. Measurements in solid figures ====
==== Concept #5. Measurements in solid figures ====
'''Concept Map'''
[[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]]
====Concept #1 - [[Introduction to solid figures]]====
====Concept #1 - [[Introduction to solid figures]]====
Group activity for children to explore different dimensions in solids.
Group activity for children to explore different dimensions in solids.
Activity 1- [[Visualising solid shapes]]
Activity 2- [[3D shapes model making]]
====Concept #2.Cube====
====Concept #2.Cube====
====Concept #3.Cylinder====
====Concept #3.Cylinder====
A cylinder is a closed solid that has two parallel (usually circular) bases connected by a curved surface. It has two ends, called bases, that are usually circular. The bases are always congruent and parallel to each other. On 'unrolling' the cylinder one would find that the side is actually a rectangle when flattened out. The height h is the perpendicular distance between the bases. The radius r of a cylinder is the radius of a base. Axis of the cylinder is a line joining the center of each base. Hollow Cylinder is the one with open top and base. Ex. cylindrical tube.
A cylinder is a closed solid that has two parallel (usually circular) bases connected by a curved surface. It has two ends, called bases, that are usually circular. The bases are always congruent and parallel to each other. On 'unrolling' the cylinder one would find that the side is actually a rectangle when flattened out. The height h is the perpendicular distance between the bases. The radius r of a cylinder is the radius of a base. Axis of the cylinder is a line joining the center of each base. Hollow Cylinder is the one with open top and base. Ex. cylindrical tube.
===== Formulas =====
CSA=<math>{2}{\pi}{r^2}{h}</math>
Volume of Cylinder=<math>{\pi}{r^2}{h}</math>
TSA of Cylinder=<math>{2}{\pi}{r}{(r+h)}</math>
Volume of Cylinder When h=h/2 is<math>{\frac{{\pi}{r^2}{h}}{2}}</math> <math>{\frac{{1}}{3}}{X}{\frac{{22}}{7}}{7^2}{14}</math>
=====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.
======[[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.
====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.
======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.
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.
====Concept #8.Prism====
====Concept #8.Prism====
===Assessments - question banks, formative assessment activities and summative assessment activities===
===Assessments - question banks, formative assessment activities and summative assessment activities===
Categories will be: (Subject), (Topic), (Class 8), (Class 9), (Class 9), (Concept Map), (Question banks), (Assessments), Formative, Summative
Categories will be: (Subject), (Topic), (Class 8), (Class 9), (Class 9), (Concept Map), (Question banks), (Assessments), Formative, Summative
[[Category:Class 8]]
[[Category:Mensuration]]