Singapore Primary Math Explained sc-math

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Updated: 29 December, 2004

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The information below is from the document "Primary Mathematics Syllabus 2001" produced by Singapore's Ministry Of Education (MOE).

Whole Numbers | Mensuration | Statistics |

Fractions | Decimals | Geometry |

Average, Rate And Speed | Ratio And Proportion | Percentages |

- Number Notation And Place Values
- read and write numbers up to 10 million in numerals and in words

- Multiplication And Division
- multiply and divide numbers up to 4 digits by a 2-digit whole number
- multiply and divide numbers by tens, hundreds and thousands

- Approximation And Estimation
- round off numbers to the nearest 1,000
- includes use of the approximation symbol ‘≈’
- estimate the answers in calculations involving addition, subtraction and multiplication

- round off numbers to the nearest 1,000
- Order Of Operations
- state the order of operations and carry out combined operations involving the 4 operations
- includes use of brackets

- state the order of operations and carry out combined operations involving the 4 operations
- Word Problems
- solve word problems involving whole numbers
- includes rounding off answers to a specified degree of accuracy

- solve word problems involving whole numbers

- Conversion Of Measurements Involving Decimals And Fractions
- convert measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa
- excludes measurements involving decimals for time
- numbers involved should be within easy manipulation

- convert measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa
- Volume Of A Cube/Cuboid
- find one dimension of a cuboid given its volume and other dimensions
- excludes finding the area of a face given its volume and one dimension

- find the edge of a cube given its volume
- excludes use of cube-root sign

- solve up to 2-step word problems involving volume of a cube/cuboid and liquid
- includes problems involving the height of water level in rectangular tank
- excludes finding volume of solid by the volume of liquid displaced

- find one dimension of a cuboid given its volume and other dimensions
- Area Of A Triangle
- use formula to find the area of a triangle
- includes identifying the base and its corresponding height
- excludes finding the base or height of a triangle given its area

- use formula to find the area of a triangle

- Line Graphs
- read and interpret line graphs
- excludes distance - time graphs

- solve problems using information presented in line graphs

- read and interpret line graphs

- Addition And Subtraction
- add and subtract: mixed numbers unlike fractions
- includes listing of equivalent fractions to identify fractions with common denominator
- denominators of given fractions should not exceed 12

- add and subtract: mixed numbers unlike fractions
- Product Of Fractions
- calculate the product of 2 fractions
- excludes mixed numbers

- calculate the product of 2 fractions
- Concept Of Fraction As Division
- associate a fraction with division
- includes conversion between fractions and decimals

- associate a fraction with division
- Division Of A Proper Fraction By A Whole Number
- divide a proper fraction by a whole number

- Word Problems
- solve word problems involving fractions

- Multiplication And Division
- multiply decimals up to 2 decimal places by a 2-digit whole number
- includes checking reasonableness of answers by estimation

- multiply and divide decimals up to 3 decimal places by tens, hundreds and thousands
- excludes cases where the first non-zero digit in the answer is at the 4th decimal place such as 0.12 ÷ 1000 = 0.00012

- solve word problems involving decimals
- includes rounding off answers to a specified degree of accuracy
- includes checking reasonableness of answers

- multiply decimals up to 2 decimal places by a 2-digit whole number

- Angles
- identify and name: angles on a straight line angles at a point vertically opposite angles
- excludes angles between parallel lines such as alternate angles, interior angles, corresponding angles
- excludes use of the terms ‘complementary’ and ‘supplementary’

- recognise that angles on a straight line add up to 180° and angles at a point add up to 360°
- recognise that vertically opposite angles are equal
- find unknown angles involving: angles on a straight line angles at a point vertically opposite angles

- identify and name: angles on a straight line angles at a point vertically opposite angles
- 8-Point Compass
- tell direction in relation to the 8-point compass

- Properties Of A Parallelogram, A Rhombus, A Trapezium And A Triangle
- state and find unknown angles involving the properties of: a parallelogram a rhombus a trapezium
- excludes the term ‘diagonal’ and its related properties
- excludes additional construction of lines

- recognise and use the property that the angle sum of a triangle is 180°
- excludes problems where the skill of solving equations is required

- state and find unknown angles involving the properties of: an isosceles triangle an equilateral triangle a right-angled triangle
- recognise that the exterior angle of a triangle is equal to the sum of the interior opposite angles

- state and find unknown angles involving the properties of: a parallelogram a rhombus a trapezium
- Geometrical Construction
- draw squares, rectangles, parallelograms, rhombuses and triangles from given dimensions
- use ruler, protractor and set squares
- excludes cases where compasses are required

- draw squares, rectangles, parallelograms, rhombuses and triangles from given dimensions
- Tessellation
- recognise shapes that can tessellate
- identify the shape used in a tessellation
- make different tessellations with a given shape
- draw a tessellation on dot paper

- Average
- calculate the average
- find the total amount given the average and the number of items

- Rate
- calculate rate

- Word Problems
- solve up to 3-step word problems involving average and rate

- Ratio
- use ratio to show the relative sizes of: 2 quantities 3 quantities
- introduce the sign ‘ : ’

- interpret a given ratio: a : b a : b : c
- includes sums such as the following:

(i) 1 : 2 = ? : 8

(ii) 2 : ? = 1 : 4

- includes sums such as the following:
- recognise equivalent ratios
- reduce a given ratio to its lowest terms
- includes reducing a : b : c to its lowest terms

- solve up to 2-step word problems involving ratio

- use ratio to show the relative sizes of: 2 quantities 3 quantities

- Concept Of Percentage
- change fractions and decimals to percentages, and vice versa
- includes use of the percentage notation ‘%’
- includes recognising the equivalence between percentage and fraction/decimal

- express a part of a whole as a percentage

- change fractions and decimals to percentages, and vice versa
- Percentage Of A Quantity
- calculate part of a whole given the percentage and the whole

- Word Problems
- solve up to 2-step word problems involving percentage
- excludes use of the terms ‘profit’ and ‘loss’

- solve up to 2-step word problems involving percentage

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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