NUMBER AND ALGEBRA

SUB-STRAND: WHOLE NUMBERS

1. Numbers up to 1000

1.1 counting in tens/hundreds

1.2 number notation, representations and place values (hundreds, tens, ones)

1.3 reading and writing numbers in numerals and in words

1.4 comparing and ordering numbers

1.5 patterns in number sequences

1.6 odd and even numbers

2. Addition and Subtraction

2.1 addition and subtraction algorithms (up to 3 digits)

2.2 mental calculation involving addition and subtraction of a 3-digit number and ones/tens/hundreds

3. Multiplication and Division

3.1 multiplication tables of 2, 3, 4, 5 and 10

3.2 use of ÷

3.3 relationship between multiplication and division

3.4 multiplying and dividing within the multiplication tables

3.5 mental calculation involving multiplication and division within multiplication tables of 2, 3, 4, 5 and 10

SUB-STRAND: FRACTIONS

1. Fraction of a Whole

1.1 fraction as part of a whole

1.2 notation and representations of fractions

1.3 comparing and ordering fractions with denominators of given fractions not exceeding 12

• unit fractions

• like fractions

2. Addition and Subtraction

2.1 adding and subtracting like fractions within one whole with denominators of given fractions not exceeding 12

SUB-STRAND: MONEY

1. Money

1.1 counting amount of money in dollars and cents

1.2 reading and writing money in decimal notation

1.3 comparing two or three amounts of money

1.4 converting an amount of money in decimal notation to cents only, and vice versa

PRIMARY TWO

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MEASUREMENT AND GEOMETRY

SUB-STRAND: MEASUREMENT

1. Length, Mass and Volume

1.1 measuring

• length in metres

• mass in kilograms/grams

• volume of liquid in litres

1.2 using appropriate units of measurement and their abbreviations m, g, kg, ℓ

1.3 comparing and ordering

• lengths

• masses

• volumes

2. Time

2.1 telling time to the minute

2.2 measuring time in hours and minutes

2.3 converting time in hours and minutes to minutes only, and vice versa

SUB-STRAND: GEOMETRY

1. 2D Shapes

1.1 making/completing patterns with 2D shapes according to one or two of the following attributes

• size

• shape

• colour

• orientation

2. 3D Shapes

2.1 identifying, naming, describing and classifying 3D shapes

• cube

• cuboid

• cone

• cylinder

• sphere

STATISTICS

SUB-STRAND: DATA REPRESENTATION AND INTERPRETATION

1. Picture Graphs with Scales

1.1 reading and interpreting data from picture graphs with scales

PRIMARY TWO

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NUMBER AND ALGEBRA

SUB-STRAND: WHOLE NUMBERS

1. Numbers up to 10 000

1.1 counting in hundreds/thousands

1.2 number notation, representations and place values (thousands, hundreds, tens, ones)

1.3 reading and writing numbers in numerals and in words

1.4 comparing and ordering numbers

1.5 patterns in number sequences

2. Addition and Subtraction

2.1 addition and subtraction algorithms (up to 4 digits)

2.2 mental calculation involving addition and subtraction of two 2-digit numbers

3. Multiplication and Division

3.1 multiplication tables of 6, 7, 8 and 9

3.2 multiplying and dividing within the multiplication tables

3.3 division with remainder

3.4 multiplication and division algorithms (up to 3 digits by 1 digit)

3.5 mental calculation involving multiplication and division within multiplication tables

SUB-STRAND: FRACTIONS

1. Equivalent fractions

1.1 equivalent fractions

1.2 expressing a fraction in its simplest form

1.3 comparing and ordering unlike fractions with denominators of given fractions not exceeding 12

1.4 writing the equivalent fraction of a fraction given the denominator or the numerator

2. Addition and Subtraction

2.1 adding and subtracting two related fractions within one whole with denominators of given fractions not exceeding 12

SUB-STRAND: MONEY

1. Money

1.1 adding and subtracting money in decimal notation

PRIMARY THREE

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MEASUREMENT AND GEOMETRY

SUB-STRAND: MEASUREMENT

1. Length, Mass and Volume

1.1 measuring

• length in kilometres (km)

• volume of liquid in millilitres (ml)

1.2 measuring length/mass/volume (of liquid) in compound units

1.3 converting a measurement in compound units to the smaller unit, and vice versa

• kilometres and metres

• metres and centimetres

• kilograms and grams

• litres and millilitres

(numbers involved should be within easy manipulation)

2. Time

2.1 measuring time in seconds

2.2 finding the starting time, finishing time or duration given the other two quantities

2.3 24-hour clock

SUB-STRAND: AREA AND VOLUME

1. Area and Perimeter

1.1 concepts of area and perimeter of a plane figure

1.2 measuring area in square units, cm2 and m2

, excluding conversion between cm2 and m2

1.3 perimeter of

• rectilinear figure

• rectangle

• square

1.4 area of rectangle/square

SUB-STRAND: GEOMETRY

1. Angles

1.1 concepts of angle

1.2 right angles, angles greater than/smaller than a right angle

2. Perpendicular and Parallel Lines

2.1 perpendicular and parallel lines

2.2 drawing perpendicular and parallel lines

STATISTICS

SUB-STRAND: DATA REPRESENTATION AND INTERPRETATION

1. Bar Graphs

1.1 reading and interpreting data from bar graphs

1.2 using different scales on axis

PRIMARY THREE

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NUMBER AND ALGEBRA

SUB-STRAND: WHOLE NUMBERS

1. Numbers up to 100 000

1.1 number notation, representations and place values (ten thousands, thousands, hundreds, tens, ones)

1.2 reading and writing numbers in numerals and in words

1.3 comparing and ordering numbers

1.4 patterns in number sequences

1.5 rounding numbers to the nearest 10, 100 or 1000

1.6 use of ≈

2. Factors and Multiples

2.1 factors, multiples and their relationship

2.2 determining if a 1-digit number is a factor of a given number within 100

2.3 finding the common factors of two given numbers

2.4 determining if a number is a multiple of a given 1-digit number

2.5 finding the common multiples of two given 1-digit numbers

3. Four Operations

3.1 multiplication algorithm

• up to 4 digits by 1 digit

• up to 3 digits by 2 digits

3.2 division algorithm (up to 4 digits by 1 digit)

SUB-STRAND: FRACTIONS

1. Mixed Numbers and Improper Fractions

1.1 mixed numbers, improper fractions and their relationship

2. Fraction of a Set

2.1 fraction as part of a set

3. Addition and Subtraction

3.1 adding and subtracting fractions with denominators of given fractions not exceeding 12 and not more than two different denominators

PRIMARY FOUR

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SUB-STRAND: DECIMALS

1. Decimals up to 3 decimal places

1.1 notation, representations and place values

(tenths, hundredths, thousandths)

1.2 comparing and ordering decimals

1.3 expressing decimals as fractions

1.4 expressing fractions as decimals when the denominator is a factor of 10 or 100

1.5 rounding decimals to

• the nearest whole number

• 1 decimal place

• 2 decimal places

2. Addition and Subtraction

2.1 adding and subtracting decimals (up to 2 decimal places)

3. Multiplication and Division

3.1 multiplying and dividing decimals (up to 2 decimal places) by a 1-digit whole number

3.2 dividing a whole number by a whole number with quotient as a decimal

3.3 rounding answers to a specified degree of accuracy

PRIMARY FOUR

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MEASUREMENT AND GEOMETRY

SUB-STRAND: AREA AND VOLUME

1. Area and Perimeter

1.1 finding one dimension of a rectangle given the other dimension and its area/perimeter

1.2 finding the length of one side of a square given its area/perimeter

1.3 finding the area and perimeter of composite figures made up of rectangles and squares

SUB-STRAND: GEOMETRY

1. Angles

1.1 using notation such as ∠ABC and ∠a to name angles

1.2 measuring angles in degrees

1.3 drawing an angle of given size

2. Rectangle and Square

2.1 properties of rectangle and square, excluding diagonal properties

2.2 drawing rectangles and squares

3. Line Symmetry

3.1 identifying symmetric figures

3.2 determining whether a straight line is a line of symmetry of a symmetric figure

3.3 completing a symmetric figure with respect to a given line of symmetry on square grid

4. Nets

4.1 identifying 2D representations of

• cube

• cuboid

• cone

• cylinder

• prism

• pyramid

4.2 drawing 2D representations of

• cube

• cuboid

• prism

• pyramid

4.3 identifying the nets of 3D solids

• cube

• cuboid

• prism

• pyramid

4.4 identifying the solid which can be formed by a given net

PRIMARY FOUR

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STATISTICS

SUB-STRAND: DATA REPRESENTATION AND INTERPRETATION

1. Tables, Line Graphs and Pie Charts

1.1 completing a table from given data

1.2 reading and interpreting data from tables/line graphs/pie charts

PRIMARY FOUR

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NUMBER AND ALGEBRA

SUB-STRAND: WHOLE NUMBERS

1. Numbers up to 10 million

1.1 reading and writing numbers in numerals and in words

2. Four Operations

2.1 multiplying and dividing by 10, 100, 1000 and their multiples without calculator

2.2 order of operations without calculator

2.3 use of brackets without calculator

SUB-STRAND: FRACTIONS

1. Fraction and Division

1.1 dividing a whole number by a whole number with quotient as a fraction

1.2 expressing fractions as decimals

2. Four Operations

2.1 adding and subtracting mixed numbers

2.2 multiplying a proper/improper fraction and a whole number without calculator

2.3 multiplying a proper fraction and a proper/ improper fractions without calculator

2.4 multiplying two improper fractions

2.5 multiplying a mixed number and a whole number

SUB-STRAND: DECIMALS

1. Four Operations

1.1 multiplying and dividing decimals (up to 3 decimal places) by 10, 100, 1000 and their multiples without calculator

1.2 converting a measurement from a smaller unit to a larger unit in decimal form, and vice versa

• kilometres and metres

• metres and centimetres

• kilograms and grams

• litres and millilitres

SUB-STRAND: PERCENTAGE

1. Percentage

1.1 expressing a part of a whole as a percentage

1.2 use of %

1.3 finding a percentage part of a whole

1.4 finding discount, GST and annual interest

SUB-STRAND: RATE

1. Rate

1.1 rate as the amount of a quantity per unit of another quantity

1.2 finding rate, total amount or number of units given the other two quantities

PRIMARY FIVE

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MEASUREMENT AND GEOMETRY

SUB-STRAND: AREA AND VOLUME

1. Area of Triangle

1.1 concepts of base and height of a triangle

1.2 area of triangle

1.3 finding the area of composite figures made up of rectangles, squares and triangles

2. Volume of Cube and Cuboid

2.1 building solids with unit cubes

2.2 measuring volume in cubic units, cm3

/m3

, excluding conversion between cm3and m3

2.3 drawing cubes and cuboids on isometric grid

2.4 volume of a cube/cuboid

2.5 finding the volume of liquid in a rectangular tank

2.6 relationship between ℓ (or ml) with cm3

SUB-STRAND: GEOMETRY

1. Angles

1.1 angles on a straight line

1.2 angles at a point

1.3 vertically opposite angles

1.4 finding unknown angles

2. Triangle

2.1 properties of

• isosceles triangle

• equilateral triangle

• right-angled triangle

2.2 angle sum of a triangle

2.3 finding unknown angles without additional construction of lines

3. Parallelogram, Rhombus and Trapezium

3.1 properties of

• parallelogram

• rhombus

• trapezium

3.2 finding unknown angles without additional construction of lines

PRIMARY FIVE

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NUMBER AND ALGEBRA

SUB-STRAND: FRACTIONS

1. Four Operations

1.1 dividing a proper fraction by a whole number without calculator

1.2 dividing a whole number/proper fraction by a proper fraction without calculator

SUB-STRAND: PERCENTAGE

1. Percentage

1.1 finding the whole given a part and the percentage

1.2 finding percentage increase/decrease

SUB-STRAND:RATIO

1. Ratio

1.1 notation, representations and interpretation of a:b and a:b:c, where a, b and c are whole numbers,

excluding ratios involving fractions and decimals

1.2 equivalent ratios

1.3 dividing a quantity in a given ratio

1.4 expressing a ratio in its simplest form

1.5 finding the ratio of two or three given quantities

1.6 finding the missing term in a pair of equivalent ratios

1.7 relationship between fraction and ratio

SUB-STRAND: ALGEBRA

1. Algebra

1.1 using a letter to represent an unknown number

1.2 notation, representations and interpretation of simple algebraic expressions such as

• a3

• a ÷ 3 

1.3 simplifying simple linear expressions excluding brackets

1.4 evaluating simple linear expressions by substitution

1.5 simple linear equations involving whole number coefficient only

PRIMARY SIX

Updated: Dec 2024 Page | 43

MEASUREMENT AND GEOMETRY

SUB-STRAND: AREA AND VOLUME

1. Area and Circumference of Circle

1.1 area and circumference of circle

1.2 finding the area and perimeter of

• semicircle

• quarter circle

1.3 finding the area and perimeter of composite figures made up of square, rectangle, triangle, semicircle

and quarter circle

2. Volume of Cube and Cuboid

2.1 finding one dimension of a cuboid given its volume and the other dimensions

2.2 finding the length of one edge of a cube given its volume

2.3 finding the height of a cuboid given its volume and base area

2.4 finding the area of a face of a cuboid given its volume and one dimension

SUB-STRAND: GEOMETRY

1. Special Quadrilaterals

1.1 finding unknown angles, without additional construction of lines, in composite geometric figures

involving

• square

• rectangle

• triangle

• parallelogram

• rhombus

• trapezium

STATISTICS

SUB-STRAND: DATA ANALYSIS

1. Average of a Set of Data

1.1 average as ‘total value number of data’

1.2 relationship between average, total value and number of data

PRIMARY SIX

Updated: Dec 2024 Page | 44

NUMBER AND ALGEBRA

SUB-STRAND: WHOLE NUMBERS

1. Numbers up to 10 million

1.1 reading and writing numbers in numerals and in words

1.2 comparing and ordering numbers up to 100 000

1.3 rounding numbers to the nearest 10, 100 or 1000

1.4 patterns in number sequences

1.5 use of

2. Four Operations

2.1 addition and subtraction algorithms (up to 3 digits) without calculator

2.2 multiplication and division algorithms (up to 2 digits by 1 digit) without calculator

2.3 multiplying and dividing by 10, 100, 1000 and their multiples without calculator

2.4 order of operations

2.5 use of brackets

2.6 mental calculation involving

• addition and subtraction of a 3-digit number and ones/tens/hundreds

• multiplication and division within the multiplication tables

3. Factors and Multiples

3.1 factors, multiples and their relationship

3.2 determining if a 1-digit number is a factor of a given number within 100

3.3 finding the common factors of two given numbers

3.4 determining if a number is a multiple of a given 1-digit number

3.5 finding the common multiples of two given 1-digit numbers

SUB-STRAND: FRACTIONS

1. Concepts of Fractions

1.1 fraction as part of a whole

1.2 fraction as part of a set

2. Equivalent Fractions

2.1 equivalent fractions

2.2 expressing a fraction in its simplest form

2.3 comparing and ordering unlike fractions, with denominators of given fractions not exceeding 12

2.4 writing the equivalent fraction of a fraction given the denominator or the numerator

3. Mixed Numbers and Improper Fractions

3.1 mixed numbers and improper fractions and their relationships

4. Four Operations

4.1 adding and subtracting fractions with denominators of given fractions not exceeding 12 and not more

than two different denominators without calculator

4.2 adding and subtracting mixed numbers

4.3 multiplying a proper/improper fraction and a whole number without calculator

4.4 multiplying a proper fraction and a proper/improper fraction without calculator

PRIMARY FIVE (FOUNDATION)

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SUB-STRAND: DECIMALS

1. Decimals up to 3 decimal places

1.1 notation, representations and place values (tenths, hundredths, thousandths)

1.2 comparing and ordering decimals

1.3 expressing decimals as fractions

1.4 expressing fractions as decimals when the denominator is a factor of 10 or 100

1.5 rounding decimals to

• the nearest whole number

• 1 decimal place

• 2 decimal places

2. Four operations

2.1 adding and subtracting decimals (up to 2 decimal places) without calculator

2.2 multiplying and dividing decimals (up to 3 decimal places) by 10,100,1000 without calculator

2.3 converting a measurement from a smaller unit to a larger unit in decimal form, and vice versa

• kilometres and metres

• metres and centimetres

• kilograms and grams

• litres and millilitres

SUB-STRAND: RATE

1. Rate

1.1 rate as the amount of a quantity per unit of another quantity

1.2 finding rate, total amount or number of units given the other two quantities

PRIMARY FIVE (FOUNDATION)

Updated: Dec 2024 Page | 46

MEASUREMENT AND GEOMETRY

SUB-STRAND: MEASUREMENT

1. Time

1.1 measuring time in hours and minutes

1.2 converting time in hours and minutes to minutes only, and vice versa

1.3 finding the starting time, finishing time or duration given the other two quantities

1.4 24-hour clock

SUB-STRAND: AREA AND VOLUME

1. Area and Perimeter

1.1 concept of area and perimeter of a plane figure

1.2 measuring area in square units, cm² and m², excluding conversion between cm² and m²

1.3 area and perimeter of rectangle/square

1.4 finding one dimension of a rectangle given the other dimension and its area/perimeter

1.5 finding the length of one side of a square given its area/perimeter

1.6 finding the area and perimeter of composite figures made up of rectangles and squares

2. Volume of Cube and Cuboid

2.1 building solids with unit cubes

2.2 measuring volume in cubic units, cm³ and m³ excluding conversion between cm³ and m³

2.3 drawing cubes and cuboids on isometric grid

SUB-STRAND: GEOMETRY

1. Perpendicular and Parallel Lines

1.1 perpendicular and parallel lines

1.2 drawing perpendicular and parallel lines

2. Angles

2.1 using notation such as ABC and a to name angles

2.2 measuring angles in degrees

2.3 drawing an angle of a given size

2.4 angles on a straight line

2.5 angles at a point

2.6 vertically opposite angles

2.7 finding unknown angles

3. Rectangle and Square

3.1 properties of rectangle and square, excluding diagonal properties

3.2 drawing rectangle and square

PRIMARY FIVE (FOUNDATION)

Updated: Dec 2024 Page | 47

STATISTICS

SUB-STRAND: DATA REPRESENTATION AND INTERPRETATION

1. Tables, Bar Graphs and Line Graphs

1.1 reading and interpreting data from tables/graphs

1.2 completing a table from given data

PRIMARY FIVE (FOUNDATION)

Updated: Dec 2024 Page | 48

NUMBER AND ALGEBRA

SUB-STRAND: FRACTIONS

1. Fraction and Division

1.1 dividing a whole number by a whole number with quotient as a fraction

1.2 expressing fractions as decimals

2. Four Operations

2.1 dividing a proper fraction by a whole number

2.2 dividing a whole number/proper fraction by a proper fraction

SUB-STRAND: DECIMALS

1. Multiplication and Division

1.1 multiplying and dividing decimals

1.2 dividing a whole number by a whole number with quotient as a decimal without calculator

1.3 rounding answers to a specified degree of accuracy

SUB-STRAND: PERCENTAGE

1. Percentage

1.1 expressing a part of a whole as a percentage

1.2 use of %

1.3 finding a percentage part of a whole

1.4 finding discount, GST and annual interest

MEASUREMENT AND GEOMETRY

SUB-STRAND: AREA AND VOLUME

1. Area of Triangle

1.1 concepts of base and height of a triangle

1.2 area of triangle

1.3 finding the area and perimeter of composite figures made up of squares, rectangles and triangles

2. Volume of cube and cuboid

2.1 volume of a cube/cuboid

2.2 finding the volume of liquid in a rectangular tank excluding conversion between cm3

and m3

2.3 relationship between ml with cm3

SUB-STRAND: GEOMETRY

1. Rectangle, square and triangle

1.1 properties of

• isosceles triangle

• equilateral triangle

• right-angled triangle

1.2 angle sum of a triangle

1.3 finding unknown angles, without additional construction of lines, in composite geometric figures

involving

• square

• rectangle

• triangle

PRIMARY SIX (FOUNDATION)

Updated: Dec 2024 Page | 49

STATISTICS

SUB-STRAND: DATA REPRESENTATION AND INTERPRETATION

1. Pie Charts

1.1 reading and interpreting data from pie charts

SUB-STRAND: DATA ANALYSIS

1. Average of a set of data

1.1 average as ‘total value number of data’

1.2 relationship between average, total value and number of data