Maths

Intent

At Carden Nursery and Primary School we believe in providing high quality, active, purposeful and experiential learning opportunities. Our aim is to engage and equip pupils with the skills, knowledge and understanding they require to see themselves as mathematicians.

Our Core Values and Learning Journey Skills underpin our language rich curriculum which is mapped to include coverage of the national curriculum. We provide a consistent range of rich mathematical language throughout key stages to encourage learners to become confident in exploring and breaking down problems into simpler steps.  Our maths curriculum, influenced by NCTEM, challenges all pupils; engages their imagination; encourages their curiosity and motivates them to take the next steps in their learning. This inspiration allows them to persevere in seeking solutions and reasoning the ‘why’ of their learning through making links and generalisations within mathematics.

We believe that the curriculum is everything that happens throughout the day, both in and out of school; we value and celebrate experiences and achievements from home.

Our ultimate goal is for all learners to be fluent in basic number facts to allow for active development through contexts. This will provide them with the opportunity to be successful, confident, happy individuals, who make positive contributions within their community, respect diversity and value equality of opportunity both now and in the future. Overall, these opportunities aim to give children a curiosity of maths that they can explore in everyday life and provide them with the skills necessary for the future.

Implementation

We are developing our approach to teaching for mastery. The principles that inform this approach can be found here. Our aim is for the maths curriculum to be taught in small coherent steps to ensure all children have enough time to learn and master key skills. Pupils are taught through whole class interactive lessons which include lots of opportunities for pupils to talk and discuss their ideas, to reason mathematically, to ask questions and to demonstrate their understanding. Stem sentences are used to support children to articulate their mathematical thinking and make generalisations.  Planning incorporates the 7 steps to metacognition and pupils are encouraged to be active participants in their learning. Lessons provide the opportunity to review and consolidate previous learning as well as time for new learning. Children are taught to embrace the value of learning from mistakes and to persevere when faced with challenges.

We recognise that fluency with number facts is an important factor in enabling children’s success in mathematics. Learning key facts to automaticity helps to avoid cognitive overload in working memory and enables pupils to focus on new learning. Through the Mastering Number Programme in EYFS and Key Stage 1, children are taught about the composition of numbers using concrete, pictorial and abstract representations to develop their conceptual understanding of addition and subtractions facts. In KS2 children continue to practice accurate recall of facts and calculation procedures. They are supported to make connections and derive new facts from known facts.

Impact

Our children will have a positive “give-it a go” attitude towards mathematics and the resilience to persevere when learning gets tricky. We aim for children to demonstrate:

  • Fluent knowledge and recall of essential number facts which they can use to derive associated facts.
  • A good understanding of the number system and a wide range of mathematical vocabulary.
  • The ability to perform written and mental calculations and mathematical techniques.
  • Reasoning skills through describing, explaining, convincing, justifying and generalising mathematical ideas.
  • The ability to apply their knowledge and mathematical skills to solve problems and challenges.

Overview

Autumn 1Autumn 2Spring 1Spring 2Summer 1Summer2
NurseryBegin to use number names in play.

To sing number rhymes and songs.

Begin to recite numbers in the correct order with consistency.

Begin to count groups up to 5 (or 10) during learning times.

To recognise when a small group has ‘more’ or ‘fewer’.

To begin to use one-to-one correspondence when counting.

To sort objects into groups.

To follow simple directional vocabulary.
Begin to compare groups of objects up to 5 using mathematical language, counting them to check (support if necessary).
Singing number rhyme and songs.
To look at numerals in our environment.
To begin to recognise some numerals.
To explore more and less.
To explore pattern, looking at different patterns and making shape patterns.

To look at conservation of number in a range of contexts with adult support.
To use numbers in games with adult support – scoring points, writing tallies etc.
To continue simple patterns using colour / shape / size.
To spot numbers in the environment.
To explore shapes through a junk modelling project (3D and 2D). For children to select shapes with a purpose in mind.
Sorting basic shapes and naming them (circle / square / triangle / cuboid / sphere / cylinder) with support.
To sing number rhymes and songs focusing on one more / one less for numbers up to 5.
To use numbers in games with adult support (counting jumps / board games / skittles etc)
To introduce using a large number-line when counting. (numbers to 10)
Sorting basic shapes and naming them (circle / square / triangle / cuboid / sphere / cylinder).
Creating repeating patterns using colour, shape and size.
Exploring length and weight.
To learn to subitise numbers to 5.
Exploring addition and subtraction.
To practise counting things which we can’t touch or move (e.g. counting claps, jumps) with adult support.
Exploring capacity and volume comparing vessels and using correct vocab e.g. full, empty, half full, more, less.
Exploring time, seconds, minutes, hours, days of the week.
To subitise and compare numbers to 5 in terms of ‘more’ and ‘fewer’.

To know that you can count to check.

Exploring addition and subtraction.

To practise counting things which we can’t touch or move (e.g. counting claps, jumps) with some adult support.

To explore / understand that when a group of items are moved around and displayed in different ways the total remains the same.

Exploring money and naming coins to 10p.
ReceptionSubitising within 3

Counting skills

Explore how all numbers are made of 1s

Composition of 3 and 4

Subitise objects

Comparison of sets- ‘just by looking’

Language of comparison- more than, fewer than

Counting skills

The ‘Five-ness of 5’

Comparison of sets by matching

Language of comparison- more than, fewer than, an equal number to

Explore the concept of ‘whole’ and ‘part’

Composition of 3,4, and 5

Practise object counting skills

Match numerals with quantities within 10

Verbal counting beyond 20
Subitise within 5 using die patterns

Match numerals to quantities within 5

Counting- focus on ordinality and the ‘staircase’ pattern

See that each number is one more than the previous number

Focus on 5

Focus on 6 and 7 as ‘5 and a bit’

Compare sets and use language of comparison- more than, fewer than, an equal number to

Make unequal sets equal
Focus on the ‘staircase’ pattern and ordering numbers

Focus on ordering numbers to 8

Use language less than

Focus on 7

Doubles- explore how some numbers can be made with 2 equal parts

Sorting numbers based on attributes- odd and even numbers
Counting- larger sets and things that cannot be seen

Subitising to 6

Composition- ‘5 and a bit’

Composition of 10

Comparison- linked to ordinality

Play track games
Subitise to 5

Introduce the rekenrek

Automatic recall of bonds to 5

Composition of numbers to 10

Comparison

Number patterns

Counting
Year 1Previous Reception experiences and counting within 100Comparison of quantities and part-whole relationships

Numbers 0-5
Recognise, compose, decompose and manipulate 2D and 3D shapes

Numbers 0-10
Additive structures

Addition and subtraction facts within 10
Numbers 0-20

Unitising and coin recognition
Position and direction

Time
Year 2Numbers 10 to 100

Calculations within 20
Fluently add and subtract within 10

Addition and subtraction of two digit numbers
Introduction to multiplication

Introduction to division structures
Shape

Addition and subtraction of two-digit numbers
Money

Fractions

Time

Position and direction
Multiplication and division- doubling, halving, quotitive and partitive division

Measurement- capacity, volume and mass
Year 3Adding across 10Numbers to 1000Right angles

Securing mental calculations
Column addition

2,4,8 times tables

Column subtraction
Unit fractionsNon- unit fractions

Parallel and perpendicular sides

Time
Year 4Review of column addition and subtraction

Numbers to 10,000
Perimeter

3,6,9 times tables
7 times tables and patternsUnderstanding and manipulating multiplicative relationships

Co- ordinates
Review of fractions

Fractions greater than 1
Symmetry in 2D shapes

Time

Division with remainders
Year 5Decimal fractions

Money
Negative numbers

Short multiplication and division
Area and scalingfractions

Factors, multiples and primes
FractionsConverting units

Angles
Year 6Calculating using knowledge of structuresMultiples of 1,000

Numbers up to 10,000,000

Draw, compose and decompose shapes
Multiplication and division

Area, perimeter and direction
Fractions and percentages

Statistics
SATsRatio and proportion

Calculating and using knowledge of structures

Solving problems with two unknowns

Order of operations

Mean average