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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