This is a PowerPoint presentation I put together for my Final Teaching Practice. It covers the whole symmetry topic : identifying lines of symmetry, reflecting in symmetry line and rotational symmetry. Not all slides are original - some of the slides were adapted from PowerPoints found on TES Resources however the amalgamation and several slides are original. I hope it will be useful :)

1. The first three letters of your name
• Can you fold the letters in a way that
the top half exactly covers the bottom
half?
• If you can draw a line !

2. Symmetry in Letters !

3. Symmetry

4. What is Symmetry?
• If a shape can be folded in half so that one
half fits exactly on top of the other, than we
say that the shape has got line symmetry.
• The fold is called a line of symmetry, it divides
the shape into two equal parts!
• The lines of symmetry may be vertical,
horizontal or diagonal

5. 1 LoSOne Line of Symmetry
Vertical lines of
symmetry
Horizontal lines of
symmetry
Diagonal lines of
symmetry

6. RectangleThe Rectangle Problem
A rectangle has only 2 lines of symmetry and not 4 like the square

To see this consider the following:
Half a rectangle
Mirror Line

7. The Rectangle Problem
A rectangle has only 2 lines of symmetry and not 4 like the square

To see this consider the following:
Half a rectangle
Mirror Line
A reflection in the diagonal
would produce a kite!

8. Regular
Regular Polygons
Equilateral Triangle Square Regular Pentagon
Regular Hexagon Regular Octagon
Regular polygons
have lines of
symmetry equal to
the number of
sides/angles that
they possess.

9. Identify the Lines of Symmetry

10. Identify the Lines of Symmetry

11. Identify the Lines of Symmetry

12. Symmetry in Real Life
• God made many things in nature symmetrical!
• Humans like to follow God’s footsteps when
making objects because in this way things look
nicer !

13. How many ?
• An object may have
One line of Symmetry
Many lines of Symmetry
No lines of Symmetry
A circle ?
INFINITE LINES OF SYMMETRY !

14. Mix 1
How many lines of symmetry for each shape?
4 3
5 8
5

15. Formula one Book
Pg 49 No. 1 and No.2
Get square mirror again
HAPPY WEEKEND!

16. Mix 3
2 5 3
2 4
How many lines of symmetry for each shape?

17. Mix 4
How many lines of symmetry for each shape?
6 2 4
1 2 1

18. Mix 5
How many lines of symmetry for each shape?
1 2 4
5 3

19. Tracing 1
Reflections
object
Mirror Line
Reflect the object
shape in the mirror line
shown.

20. object
Mirror Line
Reflect the shape in
the mirror line shown.
Reflections
Mark position of
vertices, draw image of
shape.

21. Mirror Line
Reflections
object image

22. Tracing 2
Reflections
Mirror Line
Reflect the object
shape in the mirror line
shown.object

23. Reflections
Mirror Line
Reflect the object
shape in the mirror line
shown.object
Mark position of
vertices and draw
image of shape.

24. Reflections
Mirror Line
Reflect the object
shape in the mirror line
shown.object
Mark position of
vertices and draw
image of shape.
image

25. What letter
would you get if
you reflected
each shape in its
corresponding
mirror line?
STARTER

26. What letter
would you get if
you reflected
each shape in its
corresponding
mirror line?
STARTER

27. What letter would
you get if you
reflected each
shape in its
corresponding
mirror line?

28. What letter
would you get if
you reflected
each shape in its
corresponding
mirror line?

29. Shape 1
• Look at this shape.
• Can you spot the vertical reflection of the
shape on the next slide? Hold up the correct
letter when asked.

30. A B
C D

31. Congratulations!
The correct answer is B!

32. Shape 2
• Look at this shape.
• Can you spot the vertical reflection of the
shape on the next slide? Hold up the correct
letter when asked.

33. A B
C D

34. Congratulations!
The correct answer is A!

35. Shape 3
• Look at this shape.
• Can you spot the horizontal reflection of the
shape on the next slide? Hold up the correct
letter when asked.

36. A B
C D

37. Congratulations!
The correct answer is D!

38. Shape 4
• Look at this shape.
• Can you spot the horizontal reflection of the
shape on the next slide? Hold up the correct
letter when asked.

39. A B
C D

40. Congratulations!
The correct answer is B!

41. Shape 5
• Look at this shape.
• Can you spot the diagonal reflection of the
shape on the next slide? Hold up the correct
letter when asked.

42. A B
C D

43. Congratulations!
The correct answer is A!

44. Shape 6
• Look at this shape.
• Can you spot the diagonal reflection of the
shape on the next slide? Hold up the correct
letter when asked.

45. A B
C D

46. Congratulations!
The correct answer is D!

47. Reflections
Vertical lines become Horizontal
Diagonal lines remain Diagonal

48. Reflections
Horizontal lines become Vertical
Vertical lines become Horizontal
Diagonal lines remain Diagonal

52. 2.

53. 3.

54. 4.

55. 5.

56. Another kind of symmetry?
What do you think we call this kind of symmetry?
TOP Centre of
rotation
Rotational Symmetry !

57. We say a shape has ROTATIONAL SYMMETRY if it
fits exactly into itself (looks exactly THE SAME)
when it is rotated.
How many times does this shape fit into itself?
TOP
We say it has rotational symmetry of order 4

58. A shape may have NO Rotational Symmetry
A shape is said to have
NO Rotational Symmetry
(Rotational Symmetry of
ORDER 1)
If it fits onto itself only
ONE TIME

59. Equilateral Triangle
An equilateral triangle has rotational symmetry of order ?
12
3
3

60. Square
A square has rotational symmetry of order ?
Square

61. Square
A square has rotational symmetry of order ?

62. Square
A square has rotational symmetry of order ?
12
3
4
4

63. Regular Pentagon
A regular pentagon has rotational symmetry of order ?

64. Regular Pentagon
A regular pentagon has rotational symmetry of order ? 5
1
23
4
5

65. Hexagon
Regular Hexagon
A regular hexagon has rotational symmetry of order ?

66. Regular Hexagon
A regular hexagon has rotational symmetry of order ?

67. 1
23
4
5 6
Regular Hexagon
A regular hexagon has rotational symmetry of order ? 6

68. Regular Polygons
What did we say a Regular Polygon is?
A regular polygon is a shape which has:
• All sides equal
• All angles equal
Examples ?
What did we say about lines of symmetry of regular
polygons?
Regular polygons have lines of symmetry equal to the
number of sides/angles that they possess.

69. What then can we conclude?
Regular polygons have order of rotational
symmetry equal to the number of
sides/angles that they have.

70. Rectangle
Rectangle
A rectangle has rotational symmetry of order ?

71. 2
1
2
Rectangle
A rectangle has rotational symmetry of order ?

72. Home Work from FORM 1 Maths Pack
Pg 17 ALL Page (short questions)
Pg 18 No.5 and No.7

73. TEST & REVISION SESSIONS
Date: Friday 4th April
Topics: Data Handling & Symmetry
Sub-topics :
• Tally Charts
• Bar Charts
• Pie Charts
• Finding the lines of symmetry of a shape
• Drawing the other half of shapes in lines of symmetry
• Finding the Order of Rotation of a shape

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

75. Worksheet 2
Rotational Symmetry
State the order of rotational symmetry for each shape below:
13 14 15 16
17 18 19 20
21 22 23 24