Primary Mathematics Syllabus 2007

Whole Numbers

1. Numbers up to 100 000
   • number notation and place values (ten thousands, thousands, hundreds, tens, ones)
   • reading and writing numbers in numerals and in words
   • comparing and ordering numbers
   • odd and even numbers
   • number patterns
   • rounding off numbers to the nearest 10 or 100
   • use of the approximation symbol (≈)
2. Multiplication and division
   • multiplication of a 4-digit number by a 1-digit number
   • multiplication of a 3-digit number by a 2-digit number
   • division of a 4-digit number by a 1-digit number
   • solving up to 3-step word problems involving the 4 operations
   • estimation of answers in calculations involving the 4 operations
   • checking reasonableness of answers
3. Factors And multiples
   • determine if a 1-digit number is a factor of a given number
   • list all factors of a whole number up to 100
   • finding the common factors of two given numbers
   • recognising the relationship between factor and multiple
   • determining if a number is a multiple of a given 1-digit number
   • listing the first 12 multiples of a given 1-digit number
   • finding the common multiples of two given 1-digit numbers
   • Exclude:
     • 'highest common factor' (H.C.F.) and 'lowest common multiple’ (L.C.M.)

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Fractions

1. Mixed numbers and improper fractions
   • concepts of mixed numbers and improper fractions
   • expressing an improper fraction as a mixed number, and vice versa
   • expressing an improper fraction / mixed number in its simplest form
   • (Denominators of given fractions should not exceed 12)
2. Addition and subtraction
   • addition and subtraction of
     • like fractions
     • related fractions
   • (Denominators of given fractions should not exceed 12)
   • Exclude:
     • calculations involving more than 2 different denominator
3. Fraction of a set of objects
   • interpretation of fraction as part of a set of objects
4. Multiplication
   • multiplication of a proper / improper fraction and a whole number
   • solving up to 2-step word problems involving addition, subtraction and multiplication
   • using unitary method to find the whole given a fractional part
   • (Denominators of given fractions should not exceed 12)

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Decimals

1. Decimals up to 3 decimal places
   • notation and place values (tenths, hundredths, thousandths)
   • identifying the values of the digits in a decimal
   • use of the number line to display decimals
   • comparing and ordering decimals
   • conversion of a decimal to a fraction
   • conversion of a fraction whose denominator is a factor of 10 or 100 to a decimal
   • rounding off decimals to
     • the nearest whole number
     • 1 decimal place
     • 2 decimal places
2. Addition and subtraction
   • addition and subtraction of decimals (up to 2 decimal places)
   • estimation of answers in calculations
   • checking reasonableness of answers
3. Multiplication and division
   • division of a whole number by a whole number with answer in decimal form
   • multiplication and division of decimals (up to 2 decimal places) by a 1-digit whole number
   • solving up to 2-step word problems involving the 4 operations
   • rounding off answers to a specified degree of accuracy
   • estimation of answers in calculations
   • checking reasonableness of answers

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Measurement

1. Time
   • measurement of time in seconds (s)
   • 24-hour clock
   • solving word problems involving time in 24-hour clock
2. Money
   • multiplication and division of money in decimal notation
   • solving word problems involving the 4 operations of money in decimal notation
3. Area and perimeter
   • finding the area of a composite figure made up of rectangles and squares
   • finding one dimension of a rectangle given the other dimension and its area / perimeter
   • finding the length of one side of a square given its area / perimeter
   • solving word problems involving the area/ perimeter of squares and rectangles
   • Exclude:
     • use of the symbol

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Geometry

1. Perpendicular and parallel lines
   • drawing of perpendicular and parallel lines using ruler and set squares
   • use of the terms ‘vertical’ and ‘horizontal’
2. Angles
   • using notation such as ∠ABC and ∠x to name angles
   • estimation and measurement of angles in degrees
   • drawing an angle using a protractor
   • associating

     • 1

       4

       turn / right angle with 90°

     • 1

       2

       turn with 180°

     • 3

       4

       turn with 270°
     • a complete turn with 360°
     • 8-point compass
   • Exclude:
     • drawing and measuring reflex angles
     • use of the notation x°
3. Rectangle and square
   • properties of rectangle and square
   • finding unknown angles
   • Exclude:
     • the term ‘diagonal’ and its related properties
     • finding angles involving additional construction of lines
4. Symetry
   • identifying symmetric figures
   • determining whether a straight line is a line of symmetry of a symmetric figure
   • completing a symmetric figure with respect to a given horizontal / vertical line of symmetry
   • designing and making patterns
   • Exclude:
     • finding the number of lines of symmetry of a symmetric figure
     • rotational symmetry
5. Tessellation
   • recognising shapes that can tessellate
   • identifying the unit shape in a tessellation
   • making different tessellations with a given shape
   • drawing a tessellation on dot paper
   • designing and making patterns

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Data Analysis

1. Tables
   • completing a table from given data
   • reading and interpreting tables
   • solving problems using information presented in tables
2. Line graphs
   • reading and interpreting line graphs
   • solving problems using information presented in line graphs
   • Exclude:
     • distance-time graph

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