1. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Area

2. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Area is the amount of space inside a flat shape or figure. We find the area of a square or rectangle by using: Area = Length × Breadth We can also find the area of a composite figure.

3. Area Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Example: Find the area of JKLMNO below.

4. Area Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Example: Find the area of JKLMNO below. The area of JKLMNO is 72 cm 2.

5. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Average

6. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd An average is a ‘typical’ value of the data set. It is usually a middle value and tells us approximately what most of the values in the data set are close to or similar to.

7. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Composite figure

8. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd A composite figure is made up of two or more different shapes joined together. Example:

9. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Conversion graph

10. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd A conversion graph is a type of line graph. It shows the relationship between two units of measurement. It can be used to help us convert from one unit of measurement to another.

11. Conversion graph Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Example: This conversion graph shows the conversion between US dollars and pounds on a particular day.

12. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Coordinated Universal Time (UTC)

13. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Coordinated Universal Time (UTC) is a global time standard used to calculate local times around the world.

14. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Desired outcome

15. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd A desired outcome is a result that we want.

16. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Experimental probability

17. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Experimental probability is the probability of an event found through experiments. Experimental probability of an event =

18. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Foot (ft)

19. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd 1 foot 1 ft = 12 in. An imperial unit of measurement for length. Example: The length from the 0 mark to the 12 mark on an inch ruler is 1 foot (or 1 ft).

20. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Gallon (gal)

21. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd An imperial unit of measurement for capacity. Example: The capacity of the water barrel is 5 gallons (or 5 gal). 1 gal = 4 qt = 8 pt

22. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Imperial units

23. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Imperial units are units of measurement used in the imperial system of measurement. Some parts of the world still use this imperial system that was originally developed for the British Empire in 1824. Some imperial units of measurement for length are inch (in.), foot (ft), yard (yd) and mile (mi). Some imperial units of measurement for mass are ounce (oz) and pound (lb). Some imperial units of measurement for capacity are pint (pt), quart (qt) and gallon (gal).

24. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Inch (in.)

25. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd An imperial unit of measurement for length. Example: The length from the 0 mark to the 1 mark on an inch ruler is 1 inch (or 1 in.). 1 inch

26. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Local time

27. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd The current time in a particular city is called the local time. The local times in different parts of the world are different.

28. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Mean

29. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd The mean is the total number or amount divided by the number of items. The mean is the most common way of finding an average. In real life, when we use the word average (such as average salary or average height), we are most likely talking about the mean.

30. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Median

31. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd The median is the middle value of a set of data when it is arranged in order. When there is an even number of values arranged in order, the median is the mean of the two middle values. The median is a good average when there is a very high or very low value in the data set.

32. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Metric units

33. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Metric units are units of measurement used in the metric system, an international system of measurement that is used in almost every country in the world. Units of measurement such as millimetre, centimetre, metre, kilometre, gram, kilogram, millilitre and litre are known as metric units.

34. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Mile (mi)

35. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd 1 mi = 1760 yd An imperial unit of measurement for length. Example: The distance between Tom’s house and the airport is 5 miles (or 5 mi).

36. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Mode

37. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd The mode is the value that occurs the most often or has the highest frequency in the data. The mode is a good average when there are many identical values in the data set.

38. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Ounce (oz)

39. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd An imperial unit of measurement for mass. Example: The mass of a slice of bread is about 1 ounce (or 1 oz).

40. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Perimeter

41. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd The perimeter of a figure is the total distance around all the sides of the figure. We find the perimeter of a figure by adding up the lengths of all its sides.

42. Perimeter Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Example: Find the perimeter of the paper below. The perimeter of the paper is 40 cm.

43. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Pie chart

44. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd A pie chart is a type of graph that is in the shape of a circle. It is divided into different parts to represent the quantities of different items. A pie chart represents 1 whole or 100%. Each part of the pie chart represents the quantity of each item in the form of a number, a fraction or a percentage.

45. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Pint (pt)

46. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd An imperial unit of measurement for capacity. Example: The capacity of the tub of ice-cream is 3 pints (or 3 pt).

47. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Possible outcome

48. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd A possible outcome is a result that we can get.

49. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Pound (lb)

50. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd An imperial unit of measurement for mass. Example: The laptop has a mass of about 5 pounds (or 5 lb). 1 lb = 16 oz

51. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Quart (qt)

52. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd An imperial unit of measurement for capacity. Example: The capacity of the cooler box is 9 quarts (or 9 qt). 1 qt = 2 pt

53. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Random

54. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd When an event occurs at random, it means that each possible outcome has an equal chance of being chosen.

55. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Range

56. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd The range is the difference between the greatest value and the smallest value in a set of data. It shows us how the data in the set is spread out.

57. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Theoretical probability

58. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd We can find theoretical probability in this way: Theoretical probability of an event =

59. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Time difference

60. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd The difference in time between two cities. Example: The time difference between the local times in London and Mumbai is 5 h 30 min.

61. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Time zone

62. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd The world is divided into 24 main time zones. The parts of the world that are in the same time zone have the same local time. Example: This is a time zone map. We can use this map to find the time zone of a particular city.

63. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd Yard (yd)

64. Maths SMART Grade 6 © 2012 Alston Publishing House Pte Ltd An imperial unit of measurement for length. Example: The length of a standard soccer field is 100 yards (or 100 yd). Its breadth is 60 yards (or 60 yd). 1 yd = 3 ft 100 yd 60 yd