# Grade 5 Mathematics – Canada

### Grade 5 Mathematics

# | TOPIC | TITLE | |
---|---|---|---|

1 | Study Plan | Study plan – Grade 5 | |

Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision. | |||

2 | Basic mathematics part 2 | The Numbers 10 000 to 99 999 | |

Objective: To determine the place value of digits in, order of and name of 5-digit numbers | |||

3 | Basic mathematics part 2 | Addition up to the number 999 | |

Objective: To add up to three 2 and 3-digit numbers with and without trading | |||

4 | Basic mathematics part 2 | Addition to 9999 and beyond | |

Objective: To add up to five 3, 4 or 5-digit numbers from 0 to 99 999 | |||

5 | Basic mathematics part 2 | Subtraction up to the number 999 | |

Objective: To subtract 3-digit numbers with and without trading and find missing digits | |||

6 | Basic mathematics part 2 | Subtraction involving four-digit numbers and beyond | |

Objective: To subtract 4 or 5-digit numbers from 5-digit numbers using the Renaming Method | |||

7 | Long multiplication | Multiplying 2-digit numbers by multiples of 10 | |

Objective: To multiply 2-digit numbers by multiples of 10 using long multiplication | |||

8 | Long multiplication | Multiplying 3 and 4-digit numbers by multiples of 100 | |

Objective: To multiply 4-digit numbers by multiples of 100 using long multiplication | |||

9 | Long multiplication | Multiplying 2-digit numbers by 2-digit numbers | |

Objective: To multiply 2-digit numbers by 2-digit numbers using long multiplication | |||

10 | Basic mathematics part 1 | Strategies for division | |

Objective: To perform division by arranging objects into groups | |||

11 | Basic mathematics part 2 | Division with and without a remainder | |

Objective: To divide by 1-digit divisor with/without remainder and form division problems | |||

12 | Basic mathematics part 2 | Dividing two and three-digit numbers by a single-digit number | |

Objective: To divide 3-digit by 1-digit numbers and solve word problems | |||

13 | Fractions | Using fractions 1/2, 1/4, 1/8 to describe part of a whole | |

Objective: To name and use the fractions 1/2, 1/4 and 1/8 in describing parts of a whole | |||

14 | Fractions | Using fractions 1/2, 1/4, 1/8 to describe parts of a group or collection | |

Objective: To use the fractions 1/2, 1/4 and 1/8 to describe equal parts of a collection of objects | |||

15 | Fractions | Fractions 1/5, 1/10, 1/100 | |

Objective: To compare and represent fractions with the denominator 5, 10, 100 | |||

16 | Fractions | Comparing and ordering fractions | |

Objective: To compare and order fractions with the same and different numbers of equal parts | |||

17 | Fractions | Mixed numerals | |

Objective: To name and recognise mixed numerals | |||

18 | Fractions | Improper fractions | |

Objective: To use diagrams and number lines to recognise and represent mixed numerals and improper fractions | |||

19 | Decimals | Intro to Decimals | |

Objective: To relate the equivalent fraction to a decimal | |||

20 | Decimals | Comparing and ordering decimals to two decimal places | |

Objective: To compare and order decimals to two decimal places | |||

21 | Decimals | Decimals with whole numbers 10th and 100th | |

Objective: To use and understand place value to show whole numbers, tenths and hundredths as decimals | |||

22 | Decimals | Adding decimals to two decimal places | |

Objective: To add decimals with the same number of decimal places (to two decimal Places) | |||

23 | Decimals | Subtracting decimals to two decimal places | |

Objective: To subtract decimals with the same number of decimal places (to two decimal places) | |||

24 | Decimals | Using decimals – shopping problems | |

Objective: To read and interpret problems involving money | |||

25 | Decimals | Using decimals to record length | |

Objective: To interpret the everyday use of fractions and decimals | |||

26 | Decimals | Rounding Decimals | |

Objective: To round a number with one or two decimal places to the nearest whole number | |||

27 | Decimals | Decimals to three decimal places | |

Objective: To express a number on a thousand as a decimal in thousandths | |||

28 | Decimals | Adding decimals with a different number of decimal places | |

Objective: To add decimal numbers with a different number of decimal places | |||

29 | Decimals | Subtracting decimals with a different number of places | |

Objective: To subtract decimals with a different number of decimal places | |||

30 | Decimals | Multiplying decimals by 10, 100 and 1000 | |

Objective: To recognise the pattern formed when decimals are multiplied by 10, 100 and 1000 | |||

31 | Decimals | Dividing decimals by 10, 100 and 1000 | |

Objective: To recognise the pattern formed when decimals are divided by 10, 100 and 1000 | |||

32 | Time | am and pm time | |

Objective: To distinguish between am and pm time and to use the correct notation for am and pm time | |||

33 | Time | Quarter past and quarter to | |

Objective: To associate the numerals 3, 6 and 9 with 15, 30 and 45 minutes | |||

34 | Time | Telling the time – minutes past the hour | |

Objective: To read analogue time to the minute past the hour | |||

35 | Time | Telling the time – minutes to the hour | |

Objective: To read analogue clocks in minutes to the hour | |||

36 | Time | Relating analogue and digital time | |

Objective: To read analogue and digital clocks to the minute | |||

37 | Time | 24-hour time | |

Objective: To tell the time accurately using 24-hour time and change the time from am and pm time to 24-hour time | |||

38 | Measurement – Length | Using the metre as a formal unit to measure perimeter | |

Objective: To calculate the perimeter of shapes whose measurements are given in metres | |||

39 | Measurement – Length | Using the formal unit of the centimetre to measure length and perimeter | |

Objective: To use a ruler to find lengths and perimeters in centimetres | |||

40 | Measurement – Length | Read and calculate distances on a map using the formal unit kilometre | |

Objective: To read distances (km) from a map and calculate total distances between locations | |||

41 | Measurement – Length | Compare and convert formal units of measurement | |

Objective: To change cm to mm and then convert mm, cm, m and km from one to another | |||

42 | Measurement – Advanced area | Comparing and Ordering Areas | |

Objective: To estimate size order and count or estimate area as the number of cm squares | |||

43 | Measurement – Area | Introduction to the square centimetre | |

Objective: To determine the area of a shape by counting the number of square centimetres | |||

44 | Measurement – Area | Introducing the Rules for Finding the Area of a Rectangle and a Parallelogram | |

Objective: To calculate the areas of rectangles and parallelograms using Area of Rectangle = Length x Height and Area of Parallelogram = Base x Height | |||

45 | Measurement – Area | Finding the Area of a Triangle and Other Composite Shapes | |

Objective: To calculate the area of triangles and measure and calculate composite shape area | |||

46 | Measurement – Volume | Introduction to Volume: using the cubic centimetre as a standard unit | |

Objective: To count volume using 1 cm cubes | |||

47 | Measurement – Volume | Constructing Models | |

Objective: To develop volume of prisms as layers of a number of 1 cm cubes | |||

48 | Measurement – Volume | Using the Cubic Centimetre to Measure Volume | |

Objective: To use the 1 cm cube as the unit for volume | |||

49 | Measurement – Volume | Introducing the Formula for Volume | |

Objective: To calculate the volume of rectangular prisms using V=l x b x h | |||

50 | Measurement – Capacity | Using the cubic cm and displacement to measure volume and capacity | |

Objective: To find volume and capacity using displacement | |||

51 | Measurement – Capacity | Using the Cubic cm as a Standard Unit of measurement for Volume and Capacity | |

Objective: To understand a cubic centimetre and how it can be used to find the volume and capacity of a three-dimensional shape | |||

52 | Measurement – Capacity | The relationship between the common units of capacity: the litre and the millilitre | |

Objective: To convert L to mL and vice versa using 1000 mL = 1 L | |||

53 | Measurement – Capacity | Converting between volume and capacity using kiloliters and liters | |

Objective: To know the formal units of measurement for volume and capacity for bigger objects | |||

54 | Measurement – Capacity | Estimate, measure and compare the capacity of containers | |

Objective: To understand estimation and a way to go about it | |||

55 | Measurement – Capacity | Converting between volume and capacity using milliliters and liters | |

Objective: To solve capacity problems involving mixed dimensional units | |||

56 | Measurement – Mass | The Kilogram | |

Objective: To recognise which of two (or more) objects has the greater mass | |||

57 | Measurement – Mass | The Gram | |

Objective: To calculate net mass in grams and solve shopping problems involving mass | |||

58 | Space | Using the prefix to determine polygons | |

Objective: To continue sequences of shapes and recognise prefixes and name polygons | |||

59 | Space | Spatial properties of quadrilaterals | |

Objective: To recall and recognise properties of different quadrilaterals | |||

60 | Space | Measure and classify angles | |

Objective: To classify and measure angles and calculate angles in a triangle | |||

61 | Space | Recognise and name triangles | |

Objective: To recall properties of different triangles | |||

62 | Space | Use grids to enlarge/reduce 2-D shapes | |

Objective: To recognise shapes that tessellate and specify position on a grid | |||

63 | Space | Recognise and name prisms according to spatial properties | |

Objective: To name prisms according to the shape of the base | |||

64 | Space | Recognise and name pyramids according to spatial properties | |

Objective: To name pyramids according to the shape of the base | |||

65 | Space | Recognise nets for prisms, pyramids, cubes and cones | |

Objective: To match a net with a solid and determine whether a given net forms a solid | |||

66 | Space | Viewing 3-D Shapes | |

Objective: To recognise what a solid looks like when viewed from a given direction | |||

67 | Space | Position | |

Objective: To use positional terms such as behind, next to and above, accurately | |||

68 | Space | Mapping | |

Objective: To locate places and describe navigation on a map and use a row/column grid | |||

69 | Space | Main and intermediate compass points | |

Objective: To specify direction using the eight points of a compass | |||

70 | Space | Informal coordinate system | |

Objective: To specify location using a map coordinate system – origin top left | |||

71 | Graphs – Basic | Line Graphs | |

Objective: To read and interpret line graphs | |||

72 | Graphs – Basic | Pie and Bar Graphs | |

Objective: To read and interpret pie and bar graphs | |||

73 | Probability | Simple events | |

Objective: To find the probability of events using sample space and event set (E) and P(E) = n(E)/n(S) | |||

74 | Problem solving | Sign Words | |

Objective: To recognise words and phrases that correspond to + – x and / | |||

75 | Problem solving | Problem Solving Strategies | |

Objective: To review problem solving words and an effective problem solving approach | |||

76 | Problem solving | Word Problems with Numbers | |

Objective: To solve number word problems using + – x and / | |||

77 | Problem solving | Word Problems with Money | |

Objective: To solve money word problems using + – x and / | |||

78 | Problem solving | Word Problems with Length | |

Objective: To solve length word problems using + – x and / | |||

79 | Problem solving | Word Problems with Mass | |

Objective: To solve mass word problems using + – x and / | |||

80 | Problem solving | Word Problems with Area | |

Objective: To solve area word problems using + – x and / | |||

81 | Problem solving | Word Problems with Volume/Capacity | |

Objective: To solve volume and capacity word problems using + – x and / | |||

82 | Exam | Exam – Grade 5 | |

Objective: Exam |