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
- Multiply whole numbers
- Divide whole numbers
- Calculate with whole numbers mentally
- Read and write numerical representations
- Compare and order numbers and representations
- Describe and extend number patterns
- Round, estimate and judge numerical accuracy
- Evaluate expressions with operation order and brackets
- Identify primes, factors and multiples
- Add whole numbers
- Subtract 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
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.
- Two-digit products and quotientsPartition and exchange place values for multiplication and division by one digit.
- Read and write numbers in millionsUse place-value periods to read and record whole numbers up to ten million.
- Large numbers and useful estimatesUse place value to compare numbers to 100 000 and round to a stated place.
- Add and subtract three-digit numbersExchange equal amounts across ones, tens and hundreds, then check by the inverse operation.
- Powers of ten and operation orderScale whole numbers by tens and decide the order of a calculation before working.
- Factors, multiples and common valuesFind exact whole-number divisions and use the difference between factors and multiples.