Numbers and relationships
Build and connect the representations and methods in numbers and relationships.
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Before you begin
Build and connect the representations and methods in numbers and relationships.
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)
Lessons
Work through them in order.
About lesson progress
Lesson marks record what you have studied. Checks show understanding separately. Guest marks come from this device.
- Large numbers and useful estimatesUse place value to compare numbers to 100 000 and round to a stated place.
- Factors, multiples and common valuesFind exact whole-number divisions and use the difference between factors and multiples.
- Multiply by one or two digitsUse place-value partial products to keep every digit’s contribution.
- Divide four-digit numbersShare from the greatest place, retain zero places and interpret the remainder.