Mathematics
At Grange Farm, we value Maths as an integral part of our curriculum. It is one of the foundations of learning both as a subject in itself and in playing a significant part of learning in other subjects and in preparation for life beyond school.
Maths is a creative and highly inter-connected discipline that has been developed over centuries and across many cultures. It provides the solution to some of history’s most intriguing questions and still poses fascinating questions that we are yet to solve. It is essential to everyday live, critical to science, technology and engineering and necessary for financial literacy and most forms of employment. It opens doors in children’s thinking that helps them to make links between and progress in other areas of the curriculum.
In following the National Curriculum, we aim to ensure that all children:
- Become fluent in the fundamentals of mathematics, including through varied and frequent practice in a variety of increasingly complex contexts over time, so that pupils are able to recall and apply their knowledge rapidly and accurately to problems
- Reason mathematically by following a line of enquiry, conjecturing relationships and generalisations, and developing an argument, justification or proof using mathematical language
- Can solve problems by applying their mathematics to a variety of routine and non-routine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions
We value each of these three tenets as foundations of our curriculum throughout school: all three will feature within the curriculum for all age groups.
We adhere to the National Curriculum expectation that a majority of pupils will move through the programmes of study at broadly the same pace. However, we recognise our children as individuals who will each need personalised challenge at times. Children who grasp concepts rapidly will be challenged through being offered rich and sophisticated problems before any acceleration through new content. Those who are not sufficiently fluent with earlier material will be supported in consolidating their understanding, including through additional practice, securing firm foundations to base their future learning on before moving on.
Our vision for Maths is that it provides, for all pupils, a foundation for understanding the world, the ability to reason mathematically, an appreciation of the beauty and power of mathematics and a sense of enjoyment and curiosity about the subject. As such, we aim to provide the children with a wide variety of mathematical experiences, both within and beyond the classroom, including: external competitions, internal times table contests, Number Day and Money Sense activities.
Key Instant Recall Facts (KIRFs)
As part of our commitment to ensuring all children develop strong mathematical foundations, we are excited to introduce a focus on Key Instant Recall Facts (KIRFs) this year. These are specific facts that child will be expected to learn and recall quickly, such as number bonds, times tables, or key measures. Mastering these facts will support their confidence and success in a wide range of maths topics.
KIRFs are essential mathematical facts that children should know instantly, without hesitation. They form the building blocks for many areas of maths and help children solve problems more efficiently. By practising these key facts, children will become more confident, fluent mathematicians. Instant recall reduces the cognitive loads during problem solving, allowing children to focus on understanding and applying maths concepts more effectively.
In school, we will teach strategies to help children to learn their KIRFs and provide regular opportunities for practice and each half-term, your child will focus on one key fact or set of facts appropriate to their year group. These can be found on the whole school overview below.
We believe that working together will make a big difference to your child’s learning. Practising KIRFs at home will help your child achieve instant recall and strengthen their confidence. Simple, short bursts of practice – just 5 to 10 minutes a day – can have a huge impact.
Some suggestions for practising KIRFs include:
- Using flashcards to test quick recall
- Playing online games or apps focussed on maths fluency e.g. ‘Hit the Button’
- Incorporating KIRFS into everyday activities, such as asking quick-fire questions in the car or while cooking.
- Displaying KIRFS in a visible place at home. E.g. on the fridge to encourage regular review.
We have broken down some further practice suggestions into year groups for parents to access at home:
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Reception Autumn 1 Name and write numbers in order to 10
download_for_offline
download_for_offlineReception Autumn 1 Name and write numbers in order to 10
- Reception Autumn 2 Recognise quantities without counting up to 5 download_for_offline
download_for_offlineReception Autumn 2 Recognise quantities without counting up to 5
- Reception Spring 1 Say one more or less than a given number to 10 download_for_offline
download_for_offlineReception Spring 1 Say one more or less than a given number to 10
- Reception Spring 2 Partition numbers to 5 into 2 groups download_for_offline
download_for_offlineReception Spring 2 Partition numbers to 5 into 2 groups
- Reception Summer 1 Recite number names in order to 20 download_for_offline
download_for_offlineReception Summer 1 Recite number names in order to 20
- Reception Summer 2 Identify triangles squares circles and rectangles download_for_offline
download_for_offlineReception Summer 2 Identify triangles squares circles and rectangles
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Year 1 Autumn 1 KIRF number bonds to 5
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download_for_offlineYear 1 Autumn 1 KIRF number bonds to 5
- Year 1 Autumn 2 KIRF number bonds to 10 download_for_offline
download_for_offlineYear 1 Autumn 2 KIRF number bonds to 10
- Year 1 Spring 1 KIRF recognise numbers to 50 download_for_offline
download_for_offlineYear 1 Spring 1 KIRF recognise numbers to 50
- Year 1 Spring 2 KIRF doubles and halves to 10 download_for_offline
download_for_offlineYear 1 Spring 2 KIRF doubles and halves to 10
- Year 1 Summer 1 KIRF facts within 10 download_for_offline
download_for_offlineYear 1 Summer 1 KIRF facts within 10
- Year 1 Summer 2 KIRF nearest half an hour 1 download_for_offline
download_for_offlineYear 1 Summer 2 KIRF nearest half an hour 1
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Year 2 Autumn 1 KIRF number bonds to 20
download_for_offline
download_for_offlineYear 2 Autumn 1 KIRF number bonds to 20
- Year 2 Autumn 2 KIRF doubles and halves to 20 download_for_offline
download_for_offlineYear 2 Autumn 2 KIRF doubles and halves to 20
- Year 2 Spring 1 KIRF 2 times table download_for_offline
download_for_offlineYear 2 Spring 1 KIRF 2 times table
- Year 2 Spring 2 KIRF 10 times table download_for_offline
download_for_offlineYear 2 Spring 2 KIRF 10 times table
- Year 2 Summer 1 KIRF 5 times table download_for_offline
download_for_offlineYear 2 Summer 1 KIRF 5 times table
- Year 2 Summer 2 KIRF time to nearest five minutes download_for_offline
download_for_offlineYear 2 Summer 2 KIRF time to nearest five minutes
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Year 3 KIRFs Autumn 1 number bonds upto 20
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download_for_offlineYear 3 KIRFs Autumn 1 number bonds upto 20
- Year 3 KIRFs Spring 1 4 times table multiplication division facts download_for_offline
download_for_offlineYear 3 KIRFs Spring 1 4 times table multiplication division facts
- Year 3 KIRFs Spring 2 8 times table multiplication division facts 1 download_for_offline
download_for_offlineYear 3 KIRFs Spring 2 8 times table multiplication division facts 1
- Year 3 KIRFs Summer 1 duration of time facts download_for_offline
download_for_offlineYear 3 KIRFs Summer 1 duration of time facts
- Year 3 KIRFs Summer 2 telling the time to the nearest minute 1 download_for_offline
download_for_offlineYear 3 KIRFs Summer 2 telling the time to the nearest minute 1
- Year3 KIRFs Autumn 2 3 times table multiplication division facts download_for_offline
download_for_offlineYear3 KIRFs Autumn 2 3 times table multiplication division facts
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Year 4 KIRFS Autumn 1 number bonds to 100
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download_for_offlineYear 4 KIRFS Autumn 1 number bonds to 100
- Year 4 KIRFs Autumn 2 6 to 9 times table multiplication division facts download_for_offline
download_for_offlineYear 4 KIRFs Autumn 2 6 to 9 times table multiplication division facts
- Year 4 KIRFs Spring 1 7 to 11 times table multiplication division facts download_for_offline
download_for_offlineYear 4 KIRFs Spring 1 7 to 11 times table multiplication division facts
- Year 4 KIRFs Spring 2 all times table facts upto 12 x 12 download_for_offline
download_for_offlineYear 4 KIRFs Spring 2 all times table facts upto 12 x 12
- Year 4 KIRFs Summer 1 multiply a single digit x10 and x 100 download_for_offline
download_for_offlineYear 4 KIRFs Summer 1 multiply a single digit x10 and x 100
- Year 4 KIRFs Summer 2 recognise simple equivalent fractions download_for_offline
download_for_offlineYear 4 KIRFs Summer 2 recognise simple equivalent fractions
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Year 5 KIRFs Autumn 1 find factor pairs of a number
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download_for_offlineYear 5 KIRFs Autumn 1 find factor pairs of a number
- Year 5 KIRFs Autumn 2 identify prime numbers up to 20 download_for_offline
download_for_offlineYear 5 KIRFs Autumn 2 identify prime numbers up to 20
- Year 5 KIRFs Spring 1 recall square numbers up to 122 and their square roots download_for_offline
download_for_offlineYear 5 KIRFs Spring 1 recall square numbers up to 122 and their square roots
- Year 5 KIRFs Spring 2 recognise equivalent fractions and decimals download_for_offline
download_for_offlineYear 5 KIRFs Spring 2 recognise equivalent fractions and decimals
- Year 5 KIRFs Summer 1 decimal number bonds to 1 and 10 download_for_offline
download_for_offlineYear 5 KIRFs Summer 1 decimal number bonds to 1 and 10
- Year 5 KIRFs Summer 2 recall metric conversions download_for_offline
download_for_offlineYear 5 KIRFs Summer 2 recall metric conversions
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Year 6 KIRFs Autumn 1 identify common factors of a pair of numbers
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download_for_offlineYear 6 KIRFs Autumn 1 identify common factors of a pair of numbers
- Year 6 KIRFs Autumn 2 convert between decimals fractions and percentages download_for_offline
download_for_offlineYear 6 KIRFs Autumn 2 convert between decimals fractions and percentages
- Year 6 KIRFs Spring 1 find a fraction of an amount download_for_offline
download_for_offlineYear 6 KIRFs Spring 1 find a fraction of an amount
- Year 6 KIRFs Spring 2 find a percentage of an amount download_for_offline
- Year 6 KIRFs Autumn 2 convert between decimals fractions and percentages download_for_offline
- Year 5 KIRFs Autumn 2 identify prime numbers up to 20 download_for_offline
- Year 4 KIRFs Autumn 2 6 to 9 times table multiplication division facts download_for_offline
- Year 3 KIRFs Spring 1 4 times table multiplication division facts download_for_offline
- Year 2 Autumn 2 KIRF doubles and halves to 20 download_for_offline
- Year 1 Autumn 2 KIRF number bonds to 10 download_for_offline
- Reception Autumn 2 Recognise quantities without counting up to 5 download_for_offline