Singapore Primary Math Explained sc-math

Updated: 6 September, 2007

Primary 1 | Primary 2 | Primary 3 |

Primary 4 | Primary 5 | Primary 6 |

The information below is from the document "Primary Mathematics Syllabus 2007" produced by Singapore's Ministry Of Education (MOE) for implementation from year 2007.

Whole Numbers | Fractions | Decimals |

Percentage | Ratio | Measurement |

Geometry | Data Analysis |

*(Calculator is allowed unless otherwise stated)*

- Numbers up to 10 million
- reading and writing numbers in numerals and in words
- rounding off numbers to the nearest 1000

- Four operations
- multiplication and division by tens, hundreds and thousands
*without using calculators* - solving word problems involving the 4 operations
- estimation of answers in calculations
- checking reasonableness of answers

- multiplication and division by tens, hundreds and thousands
- Order of operations
- combined operations involving the 4 operations
- use of brackets

- Concept of fraction as division
- association of a fraction with division
- conversion between fractions and decimals

- Four operations
- addition and subtraction of proper fractions
*without using calculators* - addition and subtraction of mixed numbers
- multiplication of two proper fractions
*without using calculators* - multiplication of an improper fraction and a proper/improper fraction
- multiplication of a mixed number and a whole number
- division of a proper fraction by a whole number
*without using calculators* - solving word problems involving the 4 operations
- (Denominators of given fractions should not exceed 12, for calculations without using calculators)
- Exclude:
- calculations involving more than 2 different denominators
- multiplication of a mixed number by a proper fraction / improper fraction / mixed number
- division of an improper fraction / mixed number by a whole number

- addition and subtraction of proper fractions

- Four operations
- multiplication and division of decimals (up to 3 decimal places) by tens, hundreds and thousands
*without using calculators* - solving word problems involving the 4 operations
- rounding off answers to a specified degree of accuracy
- estimation of answers in calculations
- checking reasonableness of answers
- Exclude:
- multiplication and division by a decimal

- multiplication and division of decimals (up to 3 decimal places) by tens, hundreds and thousands

- Percentage
- expressing a part of a whole as a percentage
- use of the percentage symbol (%)
- writing fractions and decimals as percentages, and vice versa
- finding a percentage part of a whole
- solving up to 2-step word problems involving percentage
- discount, GST and annual interest
- Exclude:
- expressing one quantity as a percentage of another, e.g. “A is 60% of B
- comparison of two quantities by percentage, e.g. “ A is 20% more than B.”

- Ratio
- interpretation of a : b and a : b : c, where a, b and c are whole numbers
- writing equivalent ratios
- expressing a ratio in its simplest form
- finding the ratio of two or three given quantities
- finding the missing term in a pair of equivalent ratios
- finding one quantity given the other quantity and their ratio
- solving up to 2-step word problems involving ratio
- Exclude:
- ratios involving fractions and decimals

- Length, mass and volume
- 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

- conversion of a measurement from a smaller unit to a larger unit in decimal form, and vice versa
- Area of triangle
- identifying the base of a triangle and its corresponding height
- use of formula to calculate the area of a triangle
- Exclude:
- finding the base / height of a triangle given its area

- 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 (cm³) / cubic metres (m³)
- use of formula to calculate the volume of a cube / cuboid
- finding the volume of liquid in a rectangular tank
- conversion between , ml and cm³
- solving up to 3-step word problems involving the volume of a cube / cuboid
- Exclude:
- conversion between cm³ and m³

- Angles
- use of the following properties to find unknown angles
- angles on a straight line
- angles at a point
- vertically opposite angles

- Triangle
- identifying and naming the following types of triangles
- isosceles triangle
- equilateral triangle
- right-angled triangle

- use of the property that the angle sum of a triangle is 180°
- finding unknown angles
- drawing a triangle from given dimensions using ruler, protractor and set squares
- Exclude:
- geometrical construction where the use of compasses is required
- finding angles involving additional construction of lines
- exterior angles

- identifying and naming the following types of triangles
- Parallelogram, rhombus and trapezium
- identifying and naming parallelogram, rhombus and trapezium
- properties of parallelogram, rhombus and trapezium
- finding unknown angles
- drawing a square / rectangle / parallelogram / rhombus / trapezium from given dimensions using ruler, protractor and set squares
- Exclude:
- the term ‘diagonal’ and its related properties
- geometrical construction where the use of compasses is required
- finding angles involving additional construction of lines

- use of the following properties to find unknown angles

- Average of a set of data
- 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 word problems involving average

The above information are summarised from Singapore's Ministry of Education website at www.moe.gov.sg (link opens in new page)

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