About this topic
Before you begin
Review place value, whole-number calculations, factors and multiples, then use powers of ten and operation order in Foundation problems.
Learning goals
- Multiply using place-value parts and partial products
- Divide through place-value steps, retaining exchanges and zero places
- Write a whole number in words
- Write a numeral for a number given in words
- Compare and order numbers and representations
- Describe and extend number patterns
- Round whole numbers to tens, hundreds and thousands
- Write a rounded value using approximate equality
- Calculate mentally with addition and subtraction
- Calculate mentally with multiplication and division
- Add in place-value columns with the required exchanges
- Subtract in place-value columns, preserving value through exchanges
- Multiply whole numbers by 10, 100 or 1000
- Divide whole numbers by 10, 100 or 1000
- Multiply whole numbers by a multiple of 10, 100 or 1000
- Divide whole numbers by a multiple of 10, 100 or 1000
- Evaluate expressions with operation order and brackets
- Determine whether one whole number is a factor of another
- Determine whether one whole number is a multiple of another
- Find the complete common factors of two positive whole numbers
- Find distinct positive common multiples of two whole numbers
Syllabus statements covered
- Reading and writing numbers in numerals and in words
- Comparing and ordering numbers up to 100 000
- Rounding numbers to the nearest 10, 100 or 1000
- Patterns in number sequences
- Use of ≈
- Addition and subtraction algorithms (up to 3 digits) without calculator
- Multiplication and division algorithms (up to 2 digits by 1 digit) without calculator
- Multiplying and dividing by 10, 100, 1000 and their multiples without calculator
- Order of operations
- Use of brackets
- Mental calculation involving
- Addition and subtraction of a 3-digit number and ones/tens/hundreds
- Multiplication and division within the multiplication tables
- Factors, multiples and their relationship
- Determining if a 1-digit number is a factor of a given number within 100
- Finding the common factors of two given numbers
- Determining if a number is a multiple of a given 1-digit number
- Finding the common multiples of two given 1-digit numbers
Choose a lesson
Work through them in order.
- Not startedTwo-digit products and quotientsNextPartition and exchange place values for multiplication and division by one digit.
- Not startedRead and write numbers in millionsNextUse place-value periods to read and record whole numbers up to ten million.
- Not startedLarge numbers and useful estimatesNextUse place value to compare numbers to 100 000 and round to a stated place.
- Not startedChoose a short mental routeNextChange ones, tens or hundreds. Cross a hundred with a helpful stop.
- Not startedUse a multiplication fact you knowNextAdd one equal group. Double the groups. Use multiplication to divide.
- Not startedAdd and subtract three-digit numbersNextAdd and subtract with equal exchanges. Check by going back.
- Not startedPowers of ten and operation orderNextScale whole numbers by tens and decide the order of a calculation before working.
- Not startedFactors, multiples and common valuesNextFind exact whole-number divisions and use the difference between factors and multiples.