class with june class with june.pptx

Math for kids

1. Hello June!!! It's Time to Learn Geometry !!!

2. Geometry Geometry consists of : Points Lines and Types Planes and Types Solids and Types Measuring Instruments

3. Point

4. P oint Has no direction Usually represented by a small dot A The above is called point A. Note the point is represented with a capital letter.

5. Lines Horizontal Line Vertical Line Slanting Line Curved Line

6. Basics of Geometry • • Extend in two direction Represented with straight line with two arrowheads to indicate that the line extends without end in two directions. L ine B l A This is Line l , (using the lower case scr i p t l e t t e r ) o r sym b o l i c a l l y w e c al l it A B NOTICE: The arrowheads are in both directions on the symbol AB

7. Horizontal Line - Pencil Vertical Line - Candle

8. Slant Line - Ladder Curved Line - Cord

9. Planes Circle Triangle Square Rectangle

10. Basics of Geometry P lane Extend in four direction . Represented by a slanted 4 sided figure, but you must envision it extends without end, even though the representation has edges. A B C M This is Plane M or plane ABC (be sure to only use three of the points when naming a plane)

11. Circle - Wheel Triangle – Traffic Signal Board

12. Square – Chess Board Rectangle - Frame

13. Solids Cube Cone Cylinder Pyramid Sphere Cuboid

14. Cube – Rubik's Cube Cone – Road Closed Board

15. Measuring Tools Ruler Compass Protractor Divider Set Squares

16. Compass Ruler Learn more about measuring tools

17. Sphere - Ball Cylinder - Battery

18. Basics of Geometry Ray S y m bo l i zed by AB The initial point is always the first letter in naming a ray. Notice the difference in symbols from both a line and segment. A B A is called the initial point Ray AB extends in one direction without end. Le t ’ s loo k a t a ray:

19. Ray A ray extends in one direction and has one end point.

20. Basics of Geometry Not all symbols are created equal! Symbol alert! A B i s th e sa m e a s BA A B BA is the same as B U T … A B A B

21. Basics of Geometry AB is not the same as B A Symbol alert!! A B A B A B B A Initial point 1 st The ray is different! Notice that the initial point is listed first in the symbol. Also note that the symbolic ray always has the arrowhead on the right regardless of the direction of the ray.

22. Basics of Geometry Opposite Rays If C is between A and B, A C B then CA and CB are opposite rays. C is the common initial point for the rays!

23. Basics of Geometry Rays are important because they help us define something very important in geometry… Angles ! An angle consists of two different rays that have the same initial point. The rays are sides of the angles. The initial point is called the v e rt e x . An g les Notation: We denote an angle with three points and  symbol. The middle point is always the vertex. We can also name the angle with just the vertex point. This angle can be denoted as:  BA C ,  CAB, or  A v e r te x s i d e s A B C

24. Basics of Geometry Classifying Angles Angles are classified as acute , right , obtuse , and straight , a c cor d in g t o th e i r me a sure s . An g le s hav e m e asure s gr e ater than 0° and less or equal to 180°. A Acute angle ° < m  A < 90° A Right angle m  A = 9 ° A Obtuse angle 9 ° < m  A < 180° A Straight angle m  A = 180°

25. A N G L E S

26. You will learn to classify angles as acute , obtuse , right , or straight .

27. What is an angle? Two rays that share the same endpoint form an angle . The point where the rays intersect is called the vertex of the angle. The two rays are called the sides of the angle.

28. Here are some examples of angles .

29. We can identify an angle by using a point on each ray and the vertex . The angle below may be identified as angle ABC or as angle CBA; you may also see this written as ABC or as CBA. The vertex point is always in the middle.

30. Angle Measurements We measure the size of an angle using degrees . Here are some examples of angles and their degree measurements.

31. Acute Angles An acute angle is an angle measuring between 0 and 90 degrees. The following angles are all acute angles.

32. Obtuse Angles An obtuse angle is an angle measuring between 90 and 180 degrees. The following angles are all obtuse.

33. Right Angles A right angle is an angle measuring 90 degrees. The following angles are both right angles.

34. Straight Angle A straight angle is 180 degrees.

35. GAME TIME! The object of the game is to be the first to raise your hand and correctly name what type of angle you see . The correct answer will be on the following slide!! Good luck!

36. Acute Angle

37. Obtuse Angle

38. Right Angle

39. Straight Angle

40. GREAT JOB!!

41. Greek prefix mono- 1 di- 2 tri- 3 tetra- 4 penta- 5 hexa- 6 hepta- 7 octa- 8 nona- 9 deca - 10

42. Triangle (Latin word tres )

43. Quadrilateral (quad – from latin word quadri )

44. Pentagon

45. Hexagon

46. heptagon

47. octagon

48. Nonagon 

49. Decagon

50. Various polygons

51. So which polygon is our star?

52. Quadrilateral ……………………… It is a figure which has four sides Parallelogram …………………. It has four side and opposite sides are parallel. Parallelogram is a quadrilateral with opposite sides parallel.

53. Rectangle It has four sides Opposite sides would be parallel and equal All angles should be of 90 o Rectangle is basically a parallelogram with all angles of 90 o All rectangles are quadrilateral but all quadrilateral are not rectangle

54. Square Four equal sides All angles should be of 90 o is a square a rectangle ? Yes/no? Is a square a quadrilateral? (yes/no) Is a rectangle a square? Yes/no

55. Quadrilaterals But only those quadrilateral which has opposite sides parallel are called And only those parallelogram are called rectangle in which angle is 90 And only those rectangles are square in which all side are equall

56. A square is also a Rectangle Parallelogram Quadrilateral

57. Perimeter It is the sum of the lengths of all sides

58. If the length of a side of square is 4 meters. what would be its perimeter?

59. If I have a 20 meter rope. And I make a square out of this rope. So what would be the length of the of square?

60. I make a square with the help of a rope. The length of each side is 6 meters. what was the length of the rope?