SHAPES LESSON

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By: salyd (48 month(s) ago)

All the sounds are muddled when played online, They play over or each other or the first one is repeated over and over again. A great resource that will not be able to be used in the classroom.

By: vraj (48 month(s) ago)

Dear Salyd, After your reference I found that the sounds are not proper. I will post the same in another format soon. at present mute the sound and use it. My mail ID is vraj626@yahoo.co.in. Thank you.

 

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Slide 1: 

By D. Vasu Raj, M.Sc, B.Ed., Minjur Panchayat Union Middle School, Koraikuppam, Thiruvallur District, Tamil Nadu, India “THE SHAPES” WELCOME

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About this lesson plan ITLA 2009-10 2

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OBJECTIVES ITLA 2009-10 3

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Have you seen a floor mat ? Can you climb over it? Here is a wooden box Can you climb over it? Can you identify the difference between these questions? PLANES AND SOLIDS 4

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We can only sit on the mat because it is spread flat on the floor. But We can climb on the box because it has some height. Yes this is the difference between Plane Surface and Solids Surface has two dimensions length and Breadth Yes you are right! But solids have three dimensions length , Breadth and height 5

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FIND THE GEOMETRICAL SHAPES 6

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Once again name the shapes SQUARE RECTANGLE TRIANGLE CIRCLE HEXAGON PARALLELOGRAM 7. CUBE 8. CUBOID 9. CYLINDER 10.SPHERE 11.CONE 7

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MEASUREMENTS There are various type of measurements used in geometry. Linear measurement. Surface measurement. Volumetric measurement. 8

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Linear measurement. Millimeters, Centimeters, Decimeters and Meters and kms Using meter-scale, measuring tapes, etc.. We measure Length in 9 More details 

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PERIMETER He runs 2 equal lengths (2l units)and 2 equal breadths(2b units) Consider a boy running around a rectangular field. Length ( l ) Breadth (b) 10 Length ( l ) Breadth (b) How much distance did he run? Thus he runs 2l + 2b = 2(l+b)units This is called as perimeter of the rectangle

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PERIMETER He runs 4 equal lengths s+s+s+s units)and Thus he runs s+s+s+s = 4s units This is called as perimeter of a square. Consider a boy running around a Square field. How much distance did he run? Side (s) 11 Side ( s) Side (s) Side (s)

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PERIMETER The perimeter (or ) circumference is the distance covered by the boy. The Circumference of a circle = 2r units Where  = 3.14 = 22/7 Consider a boy running around a circular field 12 Radius = r  ? Click here 

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13 Find the perimeter of the colored plane figures

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Surface measurement Area is the surface occupied by a plane figure. Area is the product of two linear measurement of same unit. It occupies several squares. We measure Surface as Areas. Ex: The mat spread on the floor occupies some space. The cost of painting the wall depends on the Space which is to be painted 14

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Basic formula for areas Area of a square= s x s Square units Area of a Rectangle= l x b Square units 15

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Parallelogram Area of a parallelogram = b x h Square units b = Base Length h = height 16

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h=height b = base Area of Right handed Triangle = ½ b x h Square units ½ bxh ½ bxh Area of Right handed Triangle 17

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Find the area of the following plane figures if each square has side 1 cm. 18

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Find the area of the following plane figures if each square has side 1 cm. 19

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20 Find the area of the colored plane figures

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21 Circle Area formula: Area of a circle =  x r x r =  r 2 sq. units  ? Click here  Diameter (d) D=2r Radius ‘r’ Major segment Minor segment Chord Sector

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22 What is  ? (sometimes written pi) is a mathematical constant whose value is the ratio of any circle‘s circumference to its diameter in Euclidean space ; this is the same value as the ratio of a circle's area to the square of its radius. It is approximately equal to 3.141593 in the usual decimal notation. (Ref: Wikipedia) Back 

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23 RECAP

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24 ACTIVITY-1 Observe the following models given to you. Equilateral triangle Side = s units Side = s units ½ s units ½ s units

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Side = s units Side = s units Side = s units 25 ACTIVITY-2 Observe the following models given to you. Hexagon Side = s units Side = s units

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26 ACTIVITY - 3 Derive a formula to find the perimeter of an equilateral triangle. Derive the formula to find the height of an equilateral triangle (Use Pythogorous theorem) Derive a formula to find the area of an equilateral triangle. Derive a formula to find the perimeter of a regular hexagon. Derive a formula to find the area of a regular hexagon. Derive the following formula using the models given to you. Pythogorous theorem 

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27 PYTHOGOROUS THEOREM Theorem: In a Right angled triangle Square of the hypotenuse = sum of the squares of other two sides  BACK NEXT LESSON  [ Hypotenuse is the side opposite to 90o ] By theorem AC2 = AB2 + BC2 i.e., z2 = x2 + y2.  x2 = z2  y2.

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28 Volume Volume is the space occupied by an object (Space is 3 dimensional) Ex: Juice in a container. Milk in a vessel. Volume is the product of three measurements of same unit. [ Length x Breadth x Height for a rectangular vessel ] More details 

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29 Volume Basics-1 10cm 5 cm 12 x 1 = 12 cm Volume = Base area x Height = A x h = (l x b) x h Cubic units

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30 Volume Basics-2 Volume = Base area x Height = ( r2 ) x h =  r2 h Cubic units Here the area of the base = Area of the circle =  r2 sq. units

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Volume of a cuboid Length = 4 units Breadth = 3 units Height = 3 units Volume of a Cuboid = Length x Breadth x Height = l x b x h = lbh cubic units.

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Volume of a cube side = 3 units Side = 3 units Side = 3 units Volume of a Cube = Side x Side x Side = SxSxS= S3 cubic units.

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33 EVALUATION-1 The Perimeter of a square is _______ Area of a square is ________ The perimeter of a rectangle is __________ Area of a Rectangle is _________ The circumference of a circle is _________ The area of a circle is __________ The area of a right angled triangle is ____________ The area of a parallelogram is __________ The perimeter of an equilateral triangle is _______ The height of an equilateral triangle _________ The area of an equilateral triangle __________ The perimeter of a regular hexagon___________ The area of a regular hexagon _____________ l x b sq. units. s2 sq. units. 4s units. 2 ( l + b ) units. 2r units. r 2 sq. units. ½ (bxh) sq. units. bxh sq. units. 3s units. 6 s units.

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EVALUATION-2 The volume of a right angular solid is ________________ The volume of a cube is ________ The volume of a cuboid is __________ The volume of a cylinder is _________ (r 2 ) h cu. units. s3 cu. units. (Base area x Height )cu.Unit ( l x bxh ) cu. units.

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Find the area of the colored plane region 9 sq. cm 2 sq. cm 2 sq. cm 1 sq.cm 10 sq. cm 6 sq. cm 2 sq. cm 1 sq.cm 1 sq.cm 35 EVALUATION-3

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Find the area of the graveled path 36 EVALUATION-4

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Find the volume of the following shapes: 37 EVALUATION-5

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Find the volume of the following shapes: 38 EVALUATION-6

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Find the volume of the following shape: 39 EVALUATION-7

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END OF THE LESSON PLAN