1. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Calculator

2. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd We can use a calculator to help us do addition, subtraction, multiplication and division operations.

3. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Centre of rotation

4. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd A shape with rotational symmetry is rotated about its centre of rotation. Example: The shape is rotated about the black dot. The black dot is the centre of rotation.

5. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Decimal point

6. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd A decimal point separates the whole number part from the fraction part of the number. Examples:

7. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Decreasing order

8. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Decreasing order means from the greatest to the smallest. Example: The amounts of money are arranged in decreasing order.

9. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Denominator

10. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd In a fraction, the denominator is the number below the line. Example:

11. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Divisible

12. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd A number is divisible by another number if it can be divided exactly by that number without leaving a remainder.

13. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Divisibility rule

14. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd We can use the divisibility rule to test if a number is divisible by another number.

15. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Equilateral triangle

16. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd An equilateral triangle has 3 equal sides and 3 equal angles. Example:

17. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Equivalent fraction

18. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Fractions that have different numerators and denominators, but the same value. Example: and are equivalent fractions. They both have a value of 0.6.

19. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Equivalent ratio

20. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Ratios that have different terms, but the same value. Example: If we multiply or divide the terms of a ratio by the same number, we get an equivalent ratio. 4 : 3, 8 : 6 and 16 : 12 are equivalent ratios.

21. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Estimate

22. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd A reasonable guess of the actual number.

23. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Hundredths

24. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd 10 hundredths = 1 tenth

25. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Increasing order

26. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Increasing order means from the smallest to the greatest. Example: The temperatures are arranged in increasing order.

27. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Isosceles triangle

28. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd An isosceles triangle has 2 equal sides and 2 equal angles. Example:

29. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Negative number

30. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd A negative number is a number which is smaller than zero. Example:

31. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Number sentence

32. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Example: ‘68 – 13 + 21 = 76’ is a number sentence.

33. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Numerator

34. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd In a fraction, the numerator is the number above the line. Example:

35. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd One hundred thousand

36. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Example: 10 ten thousands = One hundred thousand or 100 000

37. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd One million

38. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Example: 10 one hundred thousands = One million or 1 000 000

39. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Operations

40. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Example: Addition, subtraction, multiplication and division are types of operations.

41. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Parallel lines

42. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Parallel lines are straight lines that are always the same distance apart and will never meet. Example:

43. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Perpendicular lines

44. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Perpendicular lines are straight lines that meet each other at right angles. Example:

45. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Positive number

46. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd A positive number is a number which is greater than zero. Example:

47. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Product

48. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd When we multiply numbers, the answer is called the product.

49. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Quotient

50. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd When we divide a number by another number, the answer we get is called the quotient.

51. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Ratio

52. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd A ratio is a comparison of quantities. Example: The ratio of the number of toadstools to the number of dragonflies is 6 : 5.

53. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Reflective symmetry

54. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd A polygon has reflective symmetry if one half of the polygon is a mirror image of the other half. Example: This triangle has reflective symmetry.

55. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Remainder

56. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Remainder is the amount that is left over when a number is divided by another number.

57. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Right-angled triangle

58. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd A right-angled triangle is a triangle with 1 right angle. Example:

59. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Rotate

60. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Example: We rotate the rectangle in a clockwise direction to make one complete turn.

61. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Rotational symmetry

62. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd A shape has rotational symmetry if it can fit exactly onto itself more than once during a complete turn. Example: This square has rotational symmetry.

63. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Round to 1 decimal place

64. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd When we round a number to 1 decimal place, we look at the digits in the hundredths place. (a)If the digit < 5, we round it to the smaller tenth. (b)If the digit > 5, we round it to the bigger tenth. (c)If the digit = 5, we round it to the bigger tenth.

65. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Round to the nearest whole number

66. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd When we round a number to the nearest whole number, we look at the digits in the tenths place. (a)If the digit < 5, we round it to the smaller one. (b)If the digit > 5, we round it to the bigger one. (c)If the digit = 5, we round it to the bigger one.

67. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Scalene triangle

68. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd A scalene triangle is a triangle with 3 sides of 3 different lengths. It has no equal angles. Example:

69. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Simplest form

70. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd We get the simplest form of a ratio when we cannot divide the terms further by any other common factors, except 1. Example: 4 : 3 is the ratio in its simplest form.

71. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Tenths

72. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd 10 tenths = 1 one

73. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd Terms

74. Maths SMART Grade 5 © 2012 Alston Publishing House Pte Ltd The numbers in a ratio are known as terms. Example: The ratio of the number of toadstools to the number of dragonflies is 6 : 5. The numbers 6 and 5 are terms.