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The world of technology

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Presentation on theme: "The world of technology"— Presentation transcript:

1 The world of technology
welcome to techni C lass In MATHEMATICS The world of technology ______________________________

2

3 Modified by Nagaraj Rotational Symmetry 7 2 1 5
© 2007 All rights reserved 5 7 2 1 Modified by Nagaraj

4 Rotational Symmetry All 2 dimensional shapes have some rotational symmetry. The degree of rotational symmetry that an object has is known as its order. For shapes that have “order 2” rotational symmetry or higher, a single centre of rotation can be located. For shapes that have only “order 1” rotational symmetry a centre of rotation can be found anywhere within it. PowerPoint XP or above is needed to view the rotations on this presentation. Order 1 Order 2 Order 3 Order 4

5 Rotational Symmetry The order of rotational symmetry that an object has is the number of times that it fits on to itself during a full rotation of 3600 Order 1

6 Rotational Symmetry 2 The order of rotational symmetry that an object has is the number of times that it fits on to itself during a full rotation of 3600 1 Order 1 Order 2

7 Rotational Symmetry 2 The order of rotational symmetry that an object has is the number of times that it fits on to itself during a full rotation of 3600 1 Order 1 Order 2 3 2 1 Order 3

8 Rotational Symmetry The order of rotational symmetry that an object has is the number of times that it fits on to itself during a full rotation of 2 1 Order 1 Order 2 3 3 4 2 1 2 1 Order 4 Order 3

9 Rotational Symmetry What is the order of rotational symmetry of the shape below?

10 Rotational Symmetry What is the order of rotational symmetry of the shape below? 5 4 1 3 2 Order 5

11 Rotational Symmetry What is the order of rotational symmetry of the shape below?

12 Rotational Symmetry What is the order of rotational symmetry of the shape below? 6 5 1 2 4 3 Order 6

13 Equilateral Triangle An equilateral triangle has rotational symmetry of order ?

14 Equilateral Triangle An equilateral triangle has rotational symmetry of order ?

15 Equilateral Triangle An equilateral triangle has rotational symmetry of order ? 3 3 2 1

16 Square A square has rotational symmetry of order ? Square

17 Square A square has rotational symmetry of order ?

18 Square A square has rotational symmetry of order ? 4 3 4 2 1

19 Pentagon Regular Pentagon
A regular pentagon has rotational symmetry of order ? Pentagon

20 Regular Pentagon A regular pentagon has rotational symmetry of order ?

21 Regular Pentagon A regular pentagon has rotational symmetry of order ? 5 5 4 1 3 2

22 Hexagon Regular Hexagon
A regular hexagon has rotational symmetry of order ? Hexagon

23 Regular Hexagon A regular hexagon has rotational symmetry of order ?

24 Regular Hexagon 6 A regular hexagon has rotational symmetry of order ?
5 6 4 1 3 2

25 Octagon Regular Octagon
A regular octagon has rotational symmetry of order ? Octagon

26 Regular Octagon 8 A regular octagon has rotational symmetry of order ?
7 8 6 1 5 2 4 3

27 Rectangle A rectangle has rotational symmetry of order ? Rectangle

28 Rectangle A rectangle has rotational symmetry of order ? 2 2 1

29 Parallelogram Parallelogram
A parallelogram has rotational symmetry of order ? Parallelogram

30 Parallelogram 2 A parallelogram has rotational symmetry of order ? 2 1

31 Isosceles Triangle An isosceles triangle has rotational symmetry of order ?

32 Isosceles Triangle 1 An isosceles triangle has rotational symmetry of order ? 1

33 Scalene Scalene Triangle
An scalene triangle has rotational symmetry of order ? Scalene

34 Scalene Triangle 1 An scalene triangle has rotational symmetry of order ? 1

35 Isos Trapezium Isosceles Trapezium
An isosceles trapezium has rotational symmetry of order ? Isos Trapezium

36 Isosceles Trapezium An isosceles trapezium has rotational symmetry of order ? 1 1

37 Trapezium A trapezium has rotational symmetry of order ? Trapezium

38 Trapezium 1 A trapezium has rotational symmetry of order ? 1

39 Kite A kite has rotational symmetry of order ? Kite

40 Kite 1 A kite has rotational symmetry of order ? 1 Kite

41 Rhombus A rhombus has rotational symmetry of order ? Rhombus

42 Rhombus 2 A rhombus has rotational symmetry of order ? 2 1

43 Ellipse An ellipse has rotational symmetry of order ? Ellipse

44 Ellipse 2 An ellipse has rotational symmetry of order ? 1 2 Ellipse

45 Rotational Symmetry State the order of rotational symmetry for each shape below: 1 2 3 4 Order 6 Order 2 Order 3 Order 2 5 6 7 8 Order 1 Order 3 Order 2 Order 5 9 10 11 12 Order 4 Order 1 Order 6 Order 8

46 Rotational Symmetry State the order of rotational symmetry for each shape below: 13 14 15 16 Order 4 Order 1 Order 2 Order 5 17 18 19 20 Order 2 Order 4 Order 6 Order 3 21 22 23 24 Order 5 Order 4 Order 3 Order 1

47 Now..it’s the time for… The POWER-TEST To ignite your minds..

48 Evaluation @ First, Observe the given Picture carefully.
@ Try to Imagine the rotation @ Concentrate on the inner designs also @ Each question carries ‘1m’ as usual @ Time limit for each Work sheet is ‘5 min.,’ only # WRITE ONLY THE ORDER OF ROTATIONAL SYMMETRY IN THE GIVEN BOXES

49 Worksheet 1 Rotational Symmetry
State the order of rotational symmetry for each shape below: 1 2 3 4 5 6 7 8 9 10 Worksheet 1

50 Worksheet 2 Rotational Symmetry
State the order of rotational symmetry for each shape below: 11 12 13 14 15 16 17 18 19 20 Worksheet 2

51 Credits & Acknowledges !
The master trainer. Mr. N. Uma Srinivas MS Office MS Encarta Perspector panel VIPS Knowledge Centre.


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