Singapore Primary Math Explained sc-math

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 | Money and Measures | Statistics |

Fractions | Decimals | Geometry |

- Number Notation And Place Values
- read and write numbers up to 100,000 in numerals and in words
- recognise the place values of numbers (ten thousands, thousands, hundreds, tens, ones)
- includes completing number sequences

- compare and order numbers up to 100,000

- Approximation And Estimation
- round off numbers to the nearest 10 and 100
- estimate the answers in calculations involving addition, subtraction and multiplication
- includes checking reasonableness of answers

- Factors And Multiples
- determine if a 1-digit number is a factor of a given whole number
- list all factors of a whole number up to 100
- includes finding common factor of 2 numbers
- excludes finding highest common factor (H. C. F.)

- determine if a whole number is a multiple of a given 1-digit whole number
- list the first 12 multiples of a given 1-digit whole number
- includes finding common multiple of 2 numbers
- excludes finding lowest common multiple (L. C. M.)

- Multiplication By A Number Up To 2 Digits
- multiply numbers up to: 4 digits by a 1-digit number 3 digits by a 2-digit number

- Division By A 1-Digit Number And By 10
- divide numbers up to 4 digits by a 1-digit number and by 10

- Word Problems
- solve up to 3-step word problems involving whole numbers
- includes units of measure
- includes checking reasonableness of answers

- solve up to 3-step word problems involving whole numbers

- Multiplication And Division Of Length, Mass, Volume And Time
- Multiply and divide in compound units: Length Mass Volume Time
- use whole numbers only
- exclude seconds
- numbers involved should be within easy manipulation

- Multiply and divide in compound units: Length Mass Volume Time
- Multiplication And Division Of Money
- multiply and divide money in compound units using decimal notation

- Units Of Measure Of Volume: Cubic Centimetre, Cubic Metre
- build solids with unit cubes and state their volumes
- excludes conversion between m³ and cm³

- visualise the relative sizes of 1 cubic metre and 1 cubic centimetre

- build solids with unit cubes and state their volumes
- Volume Of A Cube/Cuboid And Liquid
- use formula to find the volume of a cuboid
- includes use of abbreviations: m³ and cm³
- includes finding the volume of the solid made up of unit cubes of given dimension
- excludes compound units

- use formula to find volume of liquid in a rectangular container
- excludes compound units

- recognise the equivalence of 1 litre/1000 ml and 1000 cm³
- includes conversions between , ml and cm³

- use formula to find the volume of a cuboid
- Area And Perimeter Of A Square, A Rectangle And Their Related Figures
- find the area/perimeter of a figure made up of squares and/or rectangles
- includes finding the area of a figure by subtraction of areas

- find one dimension of a rectangle given the other dimension and: its perimeter its area
- find the side of a square given: its perimeter its area
- excludes use of square root sign

- find the area/perimeter of a figure made up of squares and/or rectangles
- Word Problems
- solve word problems involving: volume of solids/liquid area and perimeter of squares and rectangles
- excludes compound units

- solve word problems involving: volume of solids/liquid area and perimeter of squares and rectangles

- Tables
- complete a table from given information
- includes collecting data and presenting the data in a table form

- read and interpret tables

- complete a table from given information
- Bar Graphs
- complete a bar graph from given data

- Word Problems
- solve problems using data presented in bar graphs and tables

- Addition And Subtraction
- add and subtract: like fractions related fractions
- denominators of given fractions should not exceed 12
- excludes sums involving more than 2 different denominators

- add and subtract: like fractions related fractions
- Product Of A Proper Fraction And A Whole Number
- recognise and name fractions as parts of a set of objects
- calculate the product of a proper fraction and a whole number

- Mixed Numbers And Improper Fractions
- express an improper fraction as a mixed number, and vice versa
- includes expressing an improper fraction/mixed number in its simplest form

- express an improper fraction as a mixed number, and vice versa
- Word problems
- solve up to 2-step word problems involving fractions
- includes using unitary method to find the ‘whole’ given a fractional part
- excludes question such as ‘Express the number of girls as a fraction of the number of boys.’ as it will be dealt with under the topic ‘Ratio’

- solve up to 2-step word problems involving fractions

- Number Notation And Place Values
- read and interpret decimals up to 3 decimal places
- includes use of the number line to illustrate the concept of decimals
- includes identifying the values of the digits in a decimal
- Include sums such as the following

(i) 0.125 =

+1 10

+2 100 ? 1000

(ii) 0.125 =125 ?

(iii) 21.203 = 21 +? 1000 - excludes 0.125 =

+1 10

+1 50 ? 200

- compare and order decimals

- read and interpret decimals up to 3 decimal places
- Addition And Subtraction
- add and subtract decimals up to 2 decimal places
- includes mental calculations involving addition and subtraction of 1-digit whole numbers/tenths and tenths

- add and subtract decimals up to 2 decimal places
- Multiplication And Division
- multiply and divide decimals up to 2 decimal places by a 1-digit whole number
- includes division of whole number by whole number with decimal answers
- includes rounding off answers to 2 decimal places
- includes checking reasonableness of answers

- carry out mental calculation within the multiplication tables

- multiply and divide decimals up to 2 decimal places by a 1-digit whole number
- Conversion Between Decimals And Fractions
- express a decimal as a fraction, and vice versa

- Approximation And Estimation
- round off decimals to: the nearest whole number 1 decimal place 2 decimal places
- includes units of measure

- estimate the answers in calculations involving addition, subtraction and multiplication
- includes checking reasonableness of answers

- round off decimals to: the nearest whole number 1 decimal place 2 decimal places
- Word Problems
- solve up to 2-step word problems involving decimals
- includes rounding off answers to a specified degree of accuracy
- includes checking reasonableness of answers

- solve up to 2-step word problems involving decimals

- Perpendicular And Parallel Lines
- identify perpendicular and parallel lines
- includes use of the terms ‘vertical’ and ‘horizontal’

- draw perpendicular and parallel lines using ruler and set squares

- identify perpendicular and parallel lines
- Angles In Degrees
- estimate size of angles and measure angles in degrees using a protractor
- includes using notation such as ∠ABC and ∠x to name angles
- excludes using variable such as x° to represent size of angle
- excludes reflex angles

- associate:

turn/right angle with 90°1 4

turn with 180°1 2

turn with 270°3 4 - draw a given angle using a protractor
- excludes drawing reflex angles

- estimate size of angles and measure angles in degrees using a protractor
- Symmetry
- recognise symmetric figures
- includes identifying and visualising symmetry in the environment or in designs
- excludes rotational symmetry

- determine whether a straight line is a line of symmetry of a figure
- excludes finding the number of lines of symmetry of a symmetric figure

- complete a symmetric figure with respect to a given line of symmetry

- recognise symmetric figures
- Geometrical Figures
- identify and name the following figures: rectangle square parallelogram rhombus trapezium
- identify and name the following triangles: isosceles equilateral right-angled
- excludes use of the terms ‘scalene’, ‘acute’ and ‘obtuse’

- Properties Of A Square And A Rectangle
- state and use properties of: a square a rectangle
- includes finding angles and sides
- excludes the term ‘diagonal’ and its related properties

- state and use properties of: a square a rectangle
- 2-D Representation Of A 3-D Solid
- visualise cubes and cuboids from drawings
- state the number of unit cubes that make up a solid
- visualise and identify the new solid formed by increasing/ decreasing the number of cubes of a given solid drawn on an isometric grid.
- excludes asking pupils to draw the solid on an isometric grid

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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