Topic/Sub-topic Content Learning Outcomes
1 Whole numbers
1.1 Numbers up to 10 million Include:
  • reading and writing numbers in numerals and in words,
  • comparing and ordering numbers up to 100 000,
  • rounding off numbers to the nearest 10, 100 or 1000.
1.2 Four operations   Include:
  • addition and subtraction involving two 3-digit numbers without using calculators,
  • multiplication and division of a 2-digit number by a 1-digit number without using calculators,
  • solving up to 3-step word problems involving the 4 operations,
  • estimation of answers in calculations,
  • checking reasonableness of answers.
1.3 Mental calculation   Include:
  • addition and subtraction involving a 3-digit number and ones, tens or hundreds without using calculators,
  • multiplication and division within the multiplication tables without using calculators.
1.4 Factors and multiples   Include:
  • determining if a 1-digit number is a factor of a given number,
  • listing all factors of a given 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 numbers up to 12.
Exclude:
  • 'highest common factor' (H.C.F.) and 'lowest common multiple’ (L.C.M.)
1.5 Order of operations   Include:
  • combined operations involving the 4 operations,
  • use of brackets.
2 Fractions
2.1 Concepts of fractions Include:
  • fraction of a whole,
  • fraction of a set of objects.
2.2 Equivalent fractions Include:
  • recognising and naming equivalent fractions,
  • listing the first 8 equivalent fractions of a given fraction,
  • writing the equivalent fraction of a fraction given the denominator or the numerator,
  • expressing a fraction in its simplest form,
  • comparing fractions with respect to half,
  • comparing and ordering unlike fractions

(Denominators of given fractions should not exceed 12.)

2.3 Mixed numbers and improper fractions Include:
  • 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.)

2.4 Four operations Include:
  • addition and subtraction of proper fractions without using calculators,
  • addition and subtraction of mixed numbers,
  • multiplication of a proper/improper fraction and a whole number without using calculators,
  • multiplication of two proper/improper fractions,
  • solving up to 2-step word problems involving addition, subtraction and multiplication,
  • using unitary method to find the whole given a fractional part
Exclude:
  • calculations involving more than 2 different denominators
  • multiplication involving mixed numbers.

(Denominators of given fractions should not exceed 12, for calculations without using calculators)

3 Decimals
2.1 Decimals up to 3 decimal places   Include:
  • 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.
2.2 Addition and subtraction   Include:
  • addition and subtraction of decimals (up to 2 decimal places)without using calculators,
  • estimation of answers in calculations,
  • checking reasonableness of answers
  • solving up to 2-step word problems involving addition and subtraction (including problems involving money)
4 Percentages
5 Ratios
6 Measurement
6.1 Length, mass and volume Include:
  • conversion of 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
6.2 Time Include:
  • finding the duration of a time interval,
  • 24-hour clock,
  • solving up to 3-step word problems involving addition and subtraction of time given in hours and minutes   
6.3 Money
6.4 Area and perimeter
  • finding the perimeter of a rectilinear figure,
  • finding the area of a 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 up to 3-step word problems involving the area/ perimeter of squares and rectangles.
6.5 Volume of cube and cuboid
  • building solids with unit cubes,
  • measurement of volume in cubic units,
  • drawing cubes and cuboids on an isometric grid,
  • measurement of volume in cubic centimetres ( cm^3 )/ cubic metres ( m^3 )
Exclude:
  • conversion between cm^3 and m^3
7 Geometry
7.1 Perpendicular and parallel lines Include:
  • identifying and naming perpendicular and parallel lines
  • drawing of perpendicular and parallel lines using ruler and set squares,
  • use of the terms ‘vertical’ and ‘horizontal’
7.2 Angles Include:
  • using notation such as ∠ABC and ∠x to name angles,
  • estimation and measurement of angles in degrees,
  • drawing an angle using a protractor,
  • use of the following properties to find unknown angles
    • angles on a straight line,
    • angles at a point,
    • vertically opposite angles
Exclude:
  • drawing and measuring reflex angles,
  • use of the notation ° x
7.3 Rectangle and square Include:
  • properties of rectangle and square,
  • drawing a rectangle/square from given dimensions using ruler, protractor and set squares
Exclude:
  • the term ‘diagonal’ and its related properties,
8 DATA ANALYSIS
8.1 Tables, bar graphs, line graphs   Include:
  • reading and interpreting tables, bar graphs and line graphs,
  • completing a table/ bar graph from given data,
  • solving problems using information presented in tables/ bar graphs/ line graphs.
8.2 Average of a set of data Include:
  • interpretation of average as "total amount ÷ number of items",
  • calculation of the average number/ quantity,
  • finding the total amount given the average and the number of items,
  • solving up to 3-step word problems involving average.
Source: http://www.moe.gov.sg/education/syllabuses/sciences/files/maths-primary-2007.pdf

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Page last modified on January 11, 2009, at 03:01 PM