Mathematics
Intent
Appreciate, Participate, Innovate
Appreciate - to be equipped with a breadth of mathematical vocabulary and language, and the desire to not only learn something new, but apply their knowledge to a range of situations.
Participate - all pupils are actively engaged in the entire blocked mathematics curriculum. Children will experience and develop their mathematical thinking and fluency. At the heart of our mathematics curriculum is the coherence of the learning progression through the curriculum. We use representation and structure, allowing children to make connections in their learning so that they know more and remember more.
Innovate - Children will use the ‘Keys to Success’ to be able to apply their mathematical knowledge to a range of reasoning and problem solving challenges within maths, other subjects, e.g. science, geography and technology, and the wider world.
Purpose of study (National Curriculum)
Mathematics is a creative and highly inter-connected discipline that has been developed over centuries, providing the solution to some of history’s most intriguing problems. It is essential to everyday life, critical to science, technology and engineering, and necessary for financial literacy and most forms of employment. A high-quality mathematics education therefore provides 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.
Aims (National Curriculum)
The national curriculum for mathematics aims to ensure that all pupils:
become fluent in the fundamentals of mathematics, including through varied and frequent practice with increasingly complex problems over time, so that pupils develop conceptual understanding and the ability to recall and apply knowledge rapidly and accurately.
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 nonroutine problems with increasing sophistication, including breaking down problems into a series of simpler steps and persevering in seeking solutions.
Mathematics is an interconnected subject in which pupils need to be able to move fluently between representations of mathematical ideas. The programmes of study are, by necessity, organised into apparently distinct domains, but pupils should make rich connections across mathematical ideas to develop fluency, mathematical reasoning and competence in solving increasingly sophisticated problems. They should also apply their mathematical knowledge to science and other subjects.
The expectation is that the majority of pupils will move through the programmes of study at broadly the same pace. However, decisions about when to progress should always be based on the security of pupils’ understanding and their readiness to progress to the next stage. Pupils who grasp concepts rapidly should be challenged through being offered rich and sophisticated problems before any acceleration through new content. Those who are not sufficiently fluent with earlier material should consolidate their understanding, including through additional practice, before moving on.
Implementation
How do we teach maths?
Our maths curriculum and daily maths lessons are based on the principles of maths mastery, which means that at the heart of our curriculum is the fundamental belief that all children can ‘learn maths’. We foster a positive mindset about maths. We also encourage children’s learning behaviour, such as resilience and independence skills.
At Stanmore Primary School, children develop their knowledge and understanding of mathematical concepts through a series of interconnected lessons based on small steps of learning. A ‘whole class teaching’ model is used for the vast majority of children and is interactive, enabling teachers to teach, children to practise and teachers to assess throughout the lesson.
Teachers adapt the learning for individuals through support and challenge within lessons and in their planning, ensuring children are secure in their learning before moving on. Using this model, the vast majority of children learn and move through the maths curriculum at broadly the same pace and are enabled to reach their potential.
Some children with significant learning difficulties follow a curriculum which is designed to meet their specific needs, but this will also follow the same principles of mastery. Some children may need maths interventions.
Mathematical vocabulary is an essential component to success in maths; this is taught through the use of stem sentences which help the children reason and explain their thinking, for example: ‘the whole is divided into four equal parts’ will help children understand and reason about quarters. A deep understanding of mathematical concepts is an essential element of our curriculum. For example, children will not only learn their times tables facts, but they will learn the key principles of multiplicative reasoning, such as the fact that 3 x 4 = 4 x 3.
Our curriculum builds on prior learning and children are taught to use what they do know to find out what they don’t know, for example, using their deep understanding of multiplication, they can find out what 8 x 3 is because they already know 4 x 3. We believe that fluency is vital to children progressing through the curriculum and children practise their fluency skills daily across all year groups.
Our curriculum encourages the use of a wide range of concrete resources, pictures and images to help children understand key concepts and help them to tackle more abstract maths. We recognise the importance of taking a consistent whole school approach to the teaching of mathematics in order to close any gaps and to target the highest possible number of children attaining the expected standard or higher by the end of key stage two.
The Stanmore Approach
Stanmore works closely with the Solent Maths Hub. It is our aim that all children have an understanding that maths is integral to their wider lives and thus their learning has purpose. When talking about maths, we use a positive language script, to reduce any maths-specific anxiety that may exist within our school and wider community. For example; encouraging personal best scores using resources such as Times Tables Rockstars. To enable our children to apply their maths knowledge in a range of contexts, both in and out of school, we make cross-curricular links with other subjects. This might include measuring in science, calculating distances and using co-ordinates and compass points in geography, using ratios when mixing colours in art or chronology of dates in history. Underpinning this is a clear progression in declarative, procedural and disciplinary knowledge. Some children attend additional maths sessions with Winchester College and even take part in the Primary Maths Challenge.
BEST Values and Keys for Success
We want our children to belong to a community of mathematicians in their classroom and beyond. Therefore, we have carefully constructed a well-planned and sequenced mathematics curriculum. We are striving for academic excellence. We acknowledge the importance of challenging all of our children academically, supporting them to bounce back from challenges, have their own voice, organise themselves, work together, and celebrate their achievements. We always value effort and respect.
Inclusion
When planning lessons, we consider learners with SEND. Teachers consider the barriers of the individual children and the key learning of each lesson; identifying the specific new learning. Teachers consider how to:
present new information in a way that all learners can access
break down complex ideas into simpler parts for pupils to learn and practice
focus learner’s attention on the new content
use visuals to support the access of all learners
aid mathematical discussions, so that learners are able to engage in the internal thought processes involved in mathematics
If appropriate, we plan for an additional adult in the lesson and share their responsibilities with them in advance.
SMSC and British Values
Mathematics at Stanmore Primary School supports spiritual and cultural development by providing opportunities for children to think, reflect, discuss and wonder at the power and beauty of the natural world and the amazing developments made possible by mathematics. Through our mathematics curriculum we promote British Values by exploring how mathematics can contribute positively to the lives of others and how it is interwoven into everyday life. Our mathematics curriculum supports mutual respect by encouraging children to respect different opinions, for example when solving problems and values the views of others.
Oracy
We encourage children to ask questions and discuss their learning in oracy based sessions, using ‘agree, build, challenge’ (ABC) to enable others to build on and extend children’s mathematical thinking. Stem sentences equip all children with the language that they need to access the learning.
Impact
How is this subject assessed?
By the end of each key stage, pupils are expected to know, apply and understand the content, skills and processes specified in the relevant specific area of learning in the EYFS and the programme of study of the National Curriculum.
Teachers use assessment for learning, regular formative assessment and termly summative assessments. This informs next steps and adaptations within teaching and learning.
Assessment of Mathematics is reported to parents in the annual report.
How is this subject monitored?
The subject leader is responsible for monitoring the planning, teaching and assessment of the subject. This is triangulated through book looks, assessment data analysis, pupil conferencing, learning walks and discussions with teachers.
Governors carry out regular monitoring visits in school and update the Full Governing Body through Governor Visit reports.
Pupil voice
“I didn’t know how to count in 2s, but now I do.”
- Year 1
“In our first lesson we learnt about how to describe movement, and I was worried that I might get confused,
but now I know that I can do it because Mr du Heaume taught me the words.”
- Year 2
“Mrs Jones has taught me that a parallel line is a line that doesn’t move closer or further away ever and it never crosses. A perpendicular line is where one line crosses another one and it makes a right angle.”
- Year 3
“I was really struggling with my times tables, but now I am really confident with my times tables and I can do them all!”
- Year 4
“When Mr Viney gives us a question, I can find a shortcut and I can work it out differently from other people because
I can use the mathematical knowledge that I know and maybe other people don’t.”
- Year 5
“Before we learnt how to calculate the angles of triangles, and now I know that triangles can help you
to work out the area of other shapes.”
- Year 6
“Everyone participated in SATs, everyone came in and did the challenge and had a go. I was proud of everyone.”
- Year 6
“Before, maths would make me feel stressed out, but this year I have tried to show my workings out so I have
more of a chance of getting it right. I’m starting to feel that I’m enjoying maths more.”
- Year 6
Year R
Autumn
Getting to know you
(Transition into Year R)
Just like me!
It’s me 1, 2, 3!
Light and dark
Spring
Alive in 5!
Growing 6, 7, 8
Building 9 and 10
Consolidation
Summer
To 20 and beyond
First, then, now
Find my pattern
On the move
Year 1
Autumn
Number: Place value (within 10)
Number: Addition and subtraction (within 10)
Geometry: Shape
Consolidation
Spring
Number: Place value (within 20)
Number: Addition and subtraction (within 20)
Number: Place value (within 50)
Measurement: Length and height
Measurement: Mass and volume
Summer
Number: Multiplication and division
Number: Fractions
Geometry: Position and direction
Number: Place value (within 100)
Measurement: Money
Measurement: Time
Consolidation
Year 2
Autumn
Number: Place value
Number: Addition and subtraction
Geometry: Shape
Spring
Measurement: Money
Number: Multiplication and division
Measurement: Length and height
Measurement: Mass, capacity and temperature
Summer
Statistics
Number: Fractions
Geometry: Position and direction
Problem solving
Measurement: Time
Year 3
Autumn
Number: Place value
Number: Addition and Subtraction
Number: Multiplication and division
Spring
Number: Multiplication and division
Measurement: Length and perimeter
Number: Fractions
Measurement: Mass and capacity
Summer
Number: Fractions
Measurement: Money
Measurement: Time
Geometry: Shape
Statistics
Consolidation
Year 4
Autumn
Number: Place value
Number: Addition and subtraction
Measurement: Area
Number: Multiplication and division
Consolidation
Spring
Number: Multiplication and division
Measurement: Length and perimeter
Number: Fractions
Number: Decimals
Summer
Number: Decimals
Measurement: Money
Measurement: Time
Consolidation
Geometry: Shape
Statistics
Geometry: Position and Direction
Year 5
Autumn
Number: Place value
Number: Addition and subtraction
Number: Multiplication and division
Number: Fractions (A)
Spring
Number: Multiplication and Division
Number: Fractions (B)
Number: Decimals and percentages
Measurement: Perimeter and area
Statistics
Summer
Geometry: Shape
Geometry: Position and Direction
Number: Decimals
Number: Negative numbers
Measurement: Converting units
Measure ment: Volume
Year 6
Autumn
Number: Place value
Number: Addition, subtraction, multiplication and division
Number: Fractions (A)
Number: Fractions (B)
Measurement: Converting units
Spring
Number: Ratio
Number: Algebra
Number: Decimals
Number: Fractions, decimals and percentages
Measurement: Area, perimeter and volume
Statistics
Summer
Geometry: Shape
Geometry: Position and direction
Time
Consolidation, problem solving and preparation for transition to KS3
Progression in Mathematical Vocabulary (YR-6)
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Year R
count, subitise, order/ordinal, compare, forwards, backwards, numeral, digit, one more, one less, equal to, more than, less than (fewer)
Year 1
sort, represent, multiples, partitioning, ones, tens
Year 2
count in steps, count in multiples, place value, estimate, compare
Year 3
ascending, descending, 10 or 100 more, 10 or 100 less, hundreds
Year 4
negative number, Roman numerals, 1000 more, 1000 less, thousands, round/rounding
Year 5
ten thousands, one hundred thousands, powers of, integer
Year 6
millions, ten millions
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Year R
add, plus, altogether, total, take away/minus, number bonds, part, whole, digit
Year 1
add, plus, altogether, total, take away/minus, number bonds, part, whole, digit
Year 2
sum, 3-digit number, commutative
Year 3
column addition, column subtraction, exchange, estimate
Year 4
4-digit number, operations, methods
Year 5
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Year 6
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Year R
double, half, twice as many, equal, unequal, share, group, odd, even
Year 1
multiplication, division, arrays
Year 2
multiplication tables, commutative, repeated addition
Year 3
exchange, mathematical statements, missing number problems, integer scaling problems, correspondence problems, derived facts
Year 4
factor pairs, formal written layout, distributive laws, remainders
Year 5
multiples, factors, prime numbers, square numbers, cube numbers, short division, product, dividend, divisor, quotient, operations
Year 6
multi-digit numbers, long division
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Year R
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Year 1
whole, half, quarter, equal parts
Year 2
three quarters, third, equivalent fractions, unit fractions, non-unit fractions, numerator, denominator, one whole
Year 3
tenths
Year 4
decimal equivalence, hundredths, convert, proper fraction,s improper fractions, decimal point
Year 5
fifth, thousandths, mixed numbers, per cent %, factors, integers, complements
Year 6
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Year R
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Year 1
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Year 2
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Year 3
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Year 4
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Year 5
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Year 6
relative size, missing value, integer multiplication, percentages, scale factor, unequal sharing and grouping
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Year R
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Year 1
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Year 2
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Year 3
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Year 4
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Year 5
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Year 6
formulae, linear number sequences, algebraically, equation, unknowns, combinations, variables
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Year R
measure, wide(r), narrow(er), compare, long(er/est), short(er/est), length
Year 1
compare
Year 2
standard units, estimate, order, record results, centimetre (cm), metre (m)
Year 3
millimetre (mm), perimeter
Year 4
kilometre (km), rectilinear shape, area
Year 5
decimal notation, scaling, metric units, iImperial units, inches, compound shape, irregular shapes, centimetres squared, square metres
Year 6
conversion, miles, formulae, parallelograms, triangles, feet
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Year R
height, longer(er), short(er), weight, capacity, heavy/light, heavier than, lighter than, big(ger/gest), full/empty, more than, less than, full/half full
Year 1
mass, volume
Year 2
kilogram (kg), gram (g), quarter full, three quarters full, litres (l), millilitres (ml), temperature, Celcius
Year 3
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Year 4
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Year 5
cubic centimetre, pounds,
pintYear 6
cubic metre, cubic millimetre, cubic kilometre, gallons, stones, ounces
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Year R
time, quick(er)/slow(er), earlier/later, before/after, first, next,
today, yesterday, tomorrow, morning/afternoon, day, evening,
day, week, hour, minutesYear 1
chronological order, days of the week, months of the year, month,
year, o’clock, half past, secondYear 2
intervals of time, quarter past/to, duration
Year 3
analogue clock, Roman numerals, 12-hour clock, 24-hour clock, a.m./p.m., noon, midnight, leap year, digital
Year 4
convert
Year 5
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Year 6
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Year R
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Year 1
money, coins, notes, pounds (£), pence (p)
Year 2
value, change
Year 3
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Year 4
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Year 5
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Year 6
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Year R
2-D shapes, rectangle, square, circle, triangle, characteristics, 3-D shapes, cuboids, cubes, cones, spheres, curved, straight, flat
Year 1
sides, corners, properties, pyramids, faces
Year 2
pentagon, hexagon, lines of symmetry, properties, cylinder, edges, vertices, vertex
Year 3
right-angle, triangle, heptagon, octagon, polygon, properties, prism, orientations, angles, acute/obtuse, angles, turn,
right angle, quarter/half turn, three quarter turn, greater than a right angle, less than a right angle, horizontal/vertical, parallel/perpendicularYear 4
isosceles, equilateral, scalene, trapezium, rhombus, parallelogram, kite, geometric, shapes, quadrilaterals
Year 5
regular polygon, irregular polygon, reflect angles, degrees,
one whole turn, straight line, angles, angles around a point, vertically opposite, missing anglesYear 6
radius, diameter, circumference, dimensions
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Year R
over/under, between, around, through, on/in, next to, behind, beneath, order, repeat, patterns, on top of
Year 1
direction, movement, whole turn, quarter/half turn, three quarter turn
Year 2
clockwise, anti-clockwise, straight line, rotation, arrange, sequences
Year 3
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Year 4
co-ordinates, first quadrant, grid, translation, plot, polygon, axis
Year 5
reflection
Year 6
four quadrants, co-ordinate, plane
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Year R
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Year 1
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Year 2
pictogram, tally chart, block diagram, category, sorting, totalling, comparing, horizontal, vertical
Year 3
table, bar chart, one-step problem, two-step problem
Year 4
time graph, discrete data, continuous data, line graph, comparison problem, sum problem, difference problem, calculate, interpret
Year 5
timetable, two-way tables
Year 6
pie chart, Mean (average)