Mathematics- Curriculum Intent
At Downland, our mathematics teachers work together to make a big difference for every pupil. We strive to shape happy, confident and resilient learners who discover that mathematics brings an exciting journey of discovery, understanding, and a lifetime of opportunities.
All pupils experience challenges in mathematics, but many pupils at Downland have a negative emotional reaction to the subject following their transition to us from primary school and are less able to deal with these. Our pupils are often anxious about aspects of mathematics and may feel a range of emotions, including frustration and anger. At Downland, we try to remove the negative pressure pupils may feel without removing the challenge.
In order to lay the foundations for learning, we embed practices that build a culture of deep understanding, confidence and competence in mathematics – a culture that produces strong, secure learning and real progress. We know our pupils and the experiences they have had and use this knowledge to make our schemes work for them, adding extra time where necessary for topics that need most attention and adapting other learning accordingly. We model positive attitudes towards mathematics throughout the whole school, ensuring that all staff encourage and model motivation, confidence, and enjoyment in mathematics for all pupils.
Our research-based schemes of learning are designed to support a mastery approach to teaching and learning and are consistent with the aims and objectives of the National Curriculum. Our schemes develop all three key areas of the National Curriculum – fluency, reasoning and problem solving – giving pupils the knowledge and skills they need to become confident mathematicians. We have constructed a curriculum that is ambitious and designed to give all learners the essential knowledge they need to engage in wider society and succeed in life.
At Downland, we use assessment to measure the performance of our pupils across the curriculum and identify gaps in their learning. Through robust and regular assessment, we have identified that many of our pupils operate significantly below their age-related expectations. If our pupils are operating significantly behind the expectations for their year group then we need to consider what is realistic for these pupils, given their needs, in terms of catching up and keeping up.
Entry Level Certificate
Every pupil at Downland studies for an Entry Level Certificate in Mathematics. Our Entry Level scheme of learning enables pupils to develop the underpinning mathematical skills and foundations they need to progress with confidence. We deepen pupils’ understanding of key concepts and build problem-solving skills so pupils can explore key concepts to their fullest. Pupils explore 8 key concepts including: properties of number; the four operations; ratio; money; the calendar and time; measures; geometry; statistics.
KS3
Our KS3 schemes of learning draw upon global best practices and cutting-edge research to boost our pupils’ confidence and give them the best preparation for progressing to GCSE study. Every topic in our KS3 schemes of learning are broken down into manageable steps that build on each other so the learning journey is complete. Our teachers focus on teaching the key objectives from the DfE’s ‘Ready-to-Progress’ criteria) – the most crucial steps in children’s learning – to help our teachers take steps to close any gaps or to revise and deepen pupils’ understanding of the most important concepts within the National Curriculum. These crucial steps lay a solid foundation for more complicated learning later on and mean our pupils will be able to more easily access many of the elements of the curriculum as they progress to Functional Skills/GCSE.
Sometimes pupils might be a little behind or ahead of the scheme schedule; we deliberately build flexibility into our schemes to allow for these variations. We also recognise that spending time on a topic does not mean that all pupils will ‘master’ it the first time they see it. They need to see it again and again in different contexts and in different years to help them truly develop their understanding on their journey to mastery, so we have built in the revisiting and reinforcing features of spiral curricula too.
KS3 Curriculum Overview
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Year 7 |
Year 8 |
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Analysing and displaying data |
Number |
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Number skills |
Area and volume |
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Expressions, functions and formulae |
Statistics, graphs and charts |
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Decimals and percentages |
Expressions and equations |
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Fractions and percentages |
Real-life graphs |
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Probability |
Decimals and ratio |
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Ratio and proportion |
Lines and angles |
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Lines and angles |
Calculating with fractions |
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Sequences and graphs |
Straight-line graphs |
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Transformations |
Percentages, decimals and fractions |
Functional Skills/GCSE
At Downland, we aspire for all pupils to achieve a recognised mathematics qualification. We use our relevant data to monitor pupil progress during KS3 and help inform pupil’s choices for KS4. We offer Functional Skills Qualifications in Mathematics at Level 1 and/or Level 2 as an alternate/addition to GCSE. These qualifications are widely accepted as equal to GCSEs by employers and aim to teach the skills that are needed in daily life and the workplace.
Functional Skills Curriculum Overview
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Positive and negative numbers |
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Order of operations and indices |
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Symmetry, angles and bearings |
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Ratio and proportion |
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Area and perimeter |
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3D shapes, volume and surface area |
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Tables, charts, graphs and averages |
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Measures |
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Fractions |
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Probability |
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Decimals |
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Percentages |
The GCSE course for Years 10 and 11 is designed to provide a broad and coherent course of study that encourages our pupils to develop confidence in, and a positive attitude towards, mathematics. Topics are taught in progressively greater depth, building on subject content knowledge that is taught at KS3. Whilst the majority of our pupils are entered for the Foundation Tier, those identified as able, gifted and talented will be entered for the Higher Tier.
GCSE Curriculum Overview
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Foundation |
Higher |
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Year 1 |
Year 2 |
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Basic number |
Basic number |
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Measures and scale drawings |
Fractions, ratio and proportion |
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Charts, tables and averages |
Statistical diagrams and averages |
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Angles |
Number and sequences |
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Number properties |
Ratio and proportion |
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Approximations |
Angles |
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Decimals and fractions |
Transformations, constructions and loci |
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Linear graphs |
Algebraic manipulation |
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Expressions and formulae |
Length, area and volume |
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Ratio, speed and proportion |
Linear graphs |
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Perimeter and area |
Right-angled triangles |
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Transformations |
Exploring and applying probability |
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Probability and events |
Powers and standard form |
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Volumes and surface areas of prisms |
Equations and inequalities |
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Linear equations |
Ratio and proportion |
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Year 2 |
Year 2 |
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Percentages and compound measures |
Counting, accuracy, powers and surds |
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Percentages and variation |
Quadratic equations |
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Representation and interpretation |
Sampling and more complex diagrams |
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Construction and loci |
Combined events |
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Curved shapes and pyramids |
Properties of circles |
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Number and sequences |
Variation |
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Right-angled triangles |
Triangles |
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Congruency and similarity |
Graphs |
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Combined events |
Algebraic fractions and functions |
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Powers and standard form |
Vector geometry |
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Simultaneous equations and linear inequalities |
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Non-linear graphs |
Financial Education
On average, children begin to receive pocket money aged seven, own their first mobile phone at eight, and purchase items online at 10, with one in five having used their parents’ or older siblings’ credit or debit card to purchase these items. They can open a bank account and have a debit card at 11. At 18, they can apply for a credit card or loan and before they leave school, they have to make crucial decisions about jobs, student loans and living independently. The need for young people to develop the skills to earn and look after their money has never been stronger.
At Downland, we integrate Financial Education into maths lessons to help our pupils to develop skills, knowledge and attitudes around money, preparing them for the opportunities, responsibilities and experiences of life. Preparing our pupils to become financially capable is an essential part of their education, ensuring that they have the confidence to manage their money effectively and that they are able to make appropriate decisions once they are adults.
Mathematics and Literacy
At Downland, we aim to improve literacy in all subject areas. Every teacher communicates their subject through academic language and recognises the importance of teaching pupils’ how to read, write and communicate effectively; literacy skills are at the heart of knowing and doing every subject. In mathematics, we teach spelling, grammar and punctuation explicitly to improve pupils’ writing. We also seize chances to reinforce mathematical vocabulary, considering which words and phrases to teach as part of curriculum planning and providing multiple opportunities for pupils to hear, see and use these words.
Maths relies heavily on language skills. This is in terms of the vocabulary used and in understanding the word-based problems in the curriculum and subsequently, the language of maths test papers. Considerably more emphasis is now being placed on ‘reasoning’ and ‘problem-solving’ questions since changes to the maths curriculum were introduced several years ago. This has dramatically increased the language demands of maths as a subject. Every maths problem gives directions or asks a question of some sort and a pupil, no matter how good they are at computation, risks getting the problem wrong if they cannot understand what the question is asking them to do. When solving word-based maths problems, not only do pupils need to identify the maths operation needed, but they also need to understand the vocabulary in order to do just that.
Many pupils at Downland consistently find word problems the most difficult area of mathematics. In testing situations, many of our pupils miss questions or get them wrong, not because they did not understand how to perform the underlying equations, but because they did not understand what calculation was embedded in the language used.
We have developed an approach to teaching mathematics at Downland designed to develop reading comprehension skills for maths word problems, to support those pupils whose progress in maths is halted by their reading comprehension difficulties. Our approach uses a two-pronged approach: vocabulary work to support comprehension of the text, and visualisation work to support understanding of the situation.
The approach consists of three steps:
- Step one: vocabulary bombardment of key words to be used throughout the topic (e.g. ‘more’, ‘less’, ‘fewer’).
- Step two: introduction of visual representation.
- Step three: word problems. Maths word problems are designed, starting with those that can be solved in a single ‘step’ (e.g ‘Last year John was 125 centimetres tall. His height has increased by 9 centimetres. How tall is John now?’) and progressing to include greater numbers of steps.
Useful Links
Please find our Numeracy Strategy attached here.





