techno pedogogic content knowlege analysis

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2. Standard
IX
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3. THE NATIONAL ANTHEM
Jana-gana-mana adhinayaka, jaya he
Bharatha-bhagya-vidhata.
Punjab-sindh-Gujarat-Martha
Dravida-Utkala-Banga
Vindhya-Himachala-Yamuna-Ganga
Uchchala-Jaladhi-taranga
Tava subha name jage,
Tava subha asisa mage,
Gahe tava jaya gatha.
Jana-gana-mangala-dayaka jaya he
Bharatha-bhagya-vidhata.
Jaya he, jaya he, jaya he,
Jaya jaya jaya, jaya he!
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4. Dear children.
We are studying this chapter “PRISMS” in continuation of the study of rectangular prisms. Apart from finding the volume and surface area of the prisms by using the formula the study of this chapter enable the student to attain the aptitude to apply the knowledge they gained in necessary situation in daily life. Through this chapter the students understand the changes taking place in the volume and surface area while joining the prisms or cutting them into smaller prisms applying logically the knowledge obtained from the previous classes about the geometrically figures.
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5. Content
Page No:
Prisms
6
Types of Prisms and its properties
7-8
Surface area of prisms
9
Volume of prisms
11
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6. Prism S
A solid with two congruent parallel faces, where any cross section parallel to those faces is congruent to them.
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7. TYPES OF PRISMS
Triangular prism Square prism
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8. Rectangular prisms
Hexagonal prism
Cylinder
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9. Surface Area of Prisms
The surface area of prisms is the sum of its base area and lateral surface area
The lateral surface area of any prism is equal to the product of its base perimeter and height.
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10. Prisms
Lateral Surface area
Base area
Total Surface area
Rectangular
2hl+2bh
2lb
2( lb + bh + lh)
Square
2a2h
a2
2a(a + 2h)
Hexagonal
3ab
6ab + 6bh
Cylinder
Cylindrical surface area= πr2h
2πr
2πr(r + h)
Triangular
(a + b + c )H
bh
(a + b + c )H x bh
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11. Volume of Prism
Prism
Volume
Rectangular
lbh
Square
a2h
Hexagonal
3√3h/a2
Cylinder
πr2h
Triangular
½ (lxbxh)
Volume of a prism is the product of its base area and height
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12. Triangular prism
It has two triangular bases and three rectangular faces
It consist of 5 faces and 6 vertices.
If the base face of the triangular prism is equilateral triangle and the other faces are squares, then the triangular prism is said to be semi regular
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13. Square prism
A solid figure whose bases are squares
Another name of square prism is cuboid
Opposite sides and angles are congruent
Faces of square prisms are rectangles
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14. Rectangular prism
A rectangular prism has six rectangular faces
The opposite faces are equal and parallel
The bases are congruent to each other
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15. Hexagonal prism
•Hexagonal prism has hexagonal base
•It has 8 faces, 18 edges and 12 vertices
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16. Cylinder
Cylinder has two circular bases
The bases are always congruent and parallel to each other
Height of the cylinder is the perpendicular distance between the bases
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