Singapore Mathematics Standards by Strand: Numbers

Whole Numbers: Primary 1

• counting to tell the number of objects in a given set,
  
• comparing the number of objects in two or more sets,
  
• use of ordinal numbers (first, second, up to tenth) and symbols (1st, 2nd, 3rd, etc.),
  
• number notation and place values (tens, ones),
  
• reading and writing numbers in numerals and in words,
  
• comparing and ordering numbers,
  
• number patterns.

Exclude:

• use of the terms ‘cardinal number’ and ‘ordinal number’,
• use of the symbols > and <.
  

• concepts of addition and subtraction,
  
• use of the addition symbol (+) or subtraction symbol (-) to write a mathematical statement for a given situation,
  
• comparing two numbers within 20 to tell how much one number is greater (or smaller) than the other,
  

• recognizing the relationship between addition and subtraction,
  
• building up the addition bonds up to 9 + 9 and committing to memory,
  
• solving 1-step word problems involving addition and subtraction within 20,

• addition of more than two 1-digit numbers,
• addition and subtraction within 100 involving
  

1. a 2-digit number and ones,
2. a 2-digit number and tens,
3. two 2-digit numbers,

• addition and subtraction using formal algorithms.
  
  

• addition and subtraction within 20,
  
• addition and subtraction involving

1. a 2-digit number and ones without renaming,
2. a 2-digit number and tens.

• multiplication as repeated addition (within 40),
  
• use of the multiplication symbol (×) to write a mathematical statement for a given situation,
  
• division of a quantity (not greater than 20) into equal sets:
  

1. given the number of objects in each set,
   
2. given the number of sets,
   

• solving 1-step word problems with pictorial representation.
  

Exclude:

• use of multiplication tables,
  
• use of the division symbol (÷).

Whole Numbers: Primary 2

• counting in tens/ hundreds,
  
• number notation and place values (hundreds, tens, ones),
  
• reading and writing numbers in numerals and in words,
  
• comparing and ordering numbers,
  
• number patterns.

• addition and subtraction of numbers up to 3 digits,
  
• solving up to 2-step word problems involving addition and subtraction.

• building up the multiplication tables of 2, 3, 4, 5 and 10 and
  
• committing to memory,
  
• use of the division symbol (÷) to write a mathematical statement
• for a given situation,
  
• recognizing the relationship between multiplication and division,
  
• multiplication and division within the multiplication tables,
• solving 1-step word problems involving multiplication and
• division within the multiplication tables.

Exclude:

• division with remainder.
  

• addition and subtraction involving

1. a 3-digit number and ones,
   
2. a 3-digit number and tens,
3. a 3-digit number and hundreds.

• multiplication and division within the multiplication tables of 2, 3, 4, 5 and 10.

Whole Numbers: Primary 3

• number notation and place values (thousands, hundreds, tens,ones),
• reading and writing numbers in numerals and in words,
• comparing and ordering numbers,
• odd and even numbers,
• number patterns.

• addition and subtraction of numbers up to 4 digits,
  
• use of the terms ‘sum’ and ‘difference’,
• solving up to 2-step word problems involving addition and subtraction.

• building up the multiplication tables of 6, 7, 8 and 9 and committing to memory,
• use of the terms ‘product’, ‘quotient’ and ‘remainder’,
• multiplication and division within the multiplication tables,
• division with remainder,
• multiplication and division of numbers up to 3 digits by 1 digit,
• solving up to 2-step word problems involving the 4 operations.

• addition and subtraction involving two 2-digit numbers,
  
• multiplication and division within the multiplication tables.

Whole Numbers: Primary 4

• number notation and place values (ten thousands, thousands, hundreds, tens, ones),
• reading and writing numbers in numerals and in words,
• comparing and ordering numbers,
• number patterns,
• rounding off numbers to the nearest 10 or 100,
• use of the approximation symbol (˜).

• 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.

• 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 1-digit numbers.

Exclude 'highest common factor' (H.C.F.) and 'lowest common
multiple’ (L.C.M.).

Whole Numbers: Primary 5 (Calculator is allowed unless otherwise stated.)

• reading and writing numbers in numerals and in words,
• rounding off numbers to the nearest 1000.

• 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.

• combined operations involving the 4 operations,
• use of brackets.

Whole Numbers: Primary 6 (Calculator is allowed unless otherwise stated.)