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
- Count forwards or backwards in equal steps
- Read and write numbers using place value
- Compare and order numbers and representations
- Describe and extend number patterns
- Write a numeral for a number given in words
- Write a whole number in words
- Calculate with whole numbers mentally
- Add in place-value columns with the required exchanges
- Subtract in place-value columns, preserving value through exchanges
- Recall multiplication facts
- Multiply whole numbers
- Divide whole numbers
- Find a whole-number quotient and a remainder smaller than the divisor
- Multiply using place-value parts and partial products
- Divide through place-value steps, retaining exchanges and zero places
Syllabus statements covered
- counting in hundreds/thousands
- number notation, representations and place values (thousands, hundreds, tens, ones)
- reading and writing numbers in numerals and in words
- comparing and ordering numbers
- patterns in number sequences
- addition and subtraction algorithms (up to 4 digits)
- mental calculation involving addition and subtraction of two 2-digit numbers
- multiplication tables of 6, 7, 8 and 9
- multiplying and dividing within the multiplication tables
- division with remainder
- multiplication and division algorithms (up to 3 digits by 1 digit)
- mental calculation involving multiplication and division within multiplication tables
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.
- Thousands and place valueRead, compare and order numbers to 10 000 and follow steps across a place-value boundary.
- Add and subtract four-digit numbersKeep place values aligned, exchange through zeros and use a sensible mental method.
- Larger tables and remaindersBuild facts for 6, 7, 8 and 9 and interpret what is left after equal grouping.
- Multiply and divide three-digit numbersDistribute place-value parts, exchange when needed and check a division with multiplication.