About this topic
Before you begin
Compare and round numbers to 100 000, find factors and multiples, and multiply or divide using place-value methods.
Learning goals
- Read and write numbers using place value
- 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
- Write a numeral for a number given in words
- Write a whole number in words
- 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
- Multiply using place-value parts and partial products
- Divide through place-value steps, retaining exchanges and zero places
Syllabus statements covered
- Number notation, representations and place values (ten thousands, thousands, hundreds, tens, ones)
- Reading and writing numbers in numerals and in words
- Comparing and ordering numbers
- Patterns in number sequences
- Rounding numbers to the nearest 10, 100 or 1000
- Use of ≈
- 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
- Multiplication algorithm
- up to 4 digits by 1 digit
- up to 3 digits by 2 digits
- Division algorithm (up to 4 digits by 1 digit)
Choose a lesson
Work through them in order.
- Not startedLarge numbers and useful estimatesNextUse place value to compare numbers to 100 000 and round to a stated place.
- Not startedFactors, multiples and common valuesNextFind exact whole-number divisions and use the difference between factors and multiples.
- Not startedMultiply by one or two digitsNextUse place-value partial products to keep every digit’s contribution.
- Not startedDivide four-digit numbersNextShare from the greatest place, retain zero places and interpret the remainder.