Maths
Mathematics is an important part of understanding our world, one that enriches our
lives. Thus, children must be given every opportunity to become capable
mathematicians, able to use maths to solve problems and to recognise the beauty of
mathematics.
At Fulbridge Academy, we recognise that mathematical understanding is built upon a
foundation of number sense and spatial awareness. To this end, our curriculum
prioritises children’s interaction with manipulatives and their ability to represent their
understanding visually. As their mathematical knowledge and skills develop, children
continue to use concrete manipulatives and visual representations to support their
knowledge of mathematical concepts, progressing towards eventual abstract
understanding. In addition, children’s mathematical vocabulary is systematically
developed to ensure that they can articulate their understanding.
Every child at Fulbridge Academy is supported to learn the key facts of arithmetic,
such as number bonds and multiplication & division facts. These key facts are one
component of the development of mathematical fluency through which children can
choose the most efficient means to complete calculations and solve problems.
Mathematical reasoning is an essential component of all maths lessons, and children
are supported to spot patterns, suggest examples and to explain their understanding
of the mathematics being learned.
Children’s understanding is developed systematically and teachers’ ongoing assessment of children’s learning underpins their teaching and ensures that every child fulfils their potential.
Brief Overviews
Reception

Develop a strong grasp of spatial awareness, including an understanding of patterns of objects, actions and sounds

Count within 5, including accurate 1:1 counting with objects, an understanding of cardinality and counting of nontangible objects (e.g. sounds)

Perceptually subitise (i.e. recognise amount rapidly without counting) groups of objects up 5

Sort, classify and compare objects based on their characteristics or the number of objects

Understand the concept of zero in concrete terms as representing absence

Begin to learn number bonds from 25, making use of manipulatives and visual representations

Order times in the day and recognise the relative lengths of particular units of time (e.g, day, hour)

Count within 10, including accurate 1:1 counting with objects, an understanding of cardinality and counting of nontangible objects (e.g. sounds)

Conceptually subitise (i.e. recognise amount rapidly without counting but using some knowledge of number bonds) groups of objects up to 10, including those shown in a pair structure and a 5andabit structure

Understand addition in aggregation and augmentation contexts

Understand subtraction in partition and reduction contexts

Double and halve numbers inside 10

Begin to learn number bonds from 610, making use of manipulatives and visual representations

Count within 20, including accurate 1:1 counting with objects, an understanding of cardinality and counting of nontangible objects (e.g. sounds); understand that numbers 1119 can be seen as 10andabit as an introduction to an understanding of place value

Recognise common 2D and 3D shapes in different orientations

Compare and define length, mass and capacity using adjectival, comparative and superlative language (e.g. heavy, heavier, heaviest; long, longer, longest); use nonstandard measurements to measure length, mass and capacity
Year 1

Count and understand numbers within 100, including counting in 2s, 5s and 10s

Recognise and using money

Know the days of the week and months of the year

Undertake addition and subtraction inside 100

Fluently use of number bonds inside 20

Understand the concept of length, mass and capacity, including some standard units

Recognise and define basic 2D and 3D shapes

Find basic fractions of amounts

Understand basic position and direction, including turning

Begin to tell the time on an analogue clock

Understand multiplication as repeated addition and division as repeated subtraction (grouping)
Year 2

Develop awareness of place value up to 100, including partitioning numbers less than 100 in a variety of ways

Compare and order numbers up to 100

Tell the time on an analogue clock to the nearest five minutes

Develop use of equipment to measure length, mass, capacity and temperature

Add and subtract numbers inside 100 using a number line, leading to some mental calculation

Solve basic addition and subtraction problems, including word problems

Solve problems involving money

Recognise and define 2D and 3D shapes and understand basic symmetry

Solve basic problems relating to multiplication and division, including word problems

Read, interpret and complete pictograms and bar charts

Find basic fractions of shapes and quantities

Describe patterns and movements
Year 3

Understand place value up to 1,000

Add and subtract numbers up to 1,000 using expanded methods of written calculation (see the calculation policy)

Solve addition and subtraction problems, including word problems

Begin to convert between units of measurement for length, mass and capacity

Calculate the perimeter of simple shapes

Recall multiplication and division facts relating to the 2, 3, 4, 5, 8 and 10 x table

Understand tenths as parts of one, using both fraction and decimal notation

Find fractions of amounts and compare different fractions

Read analogue clocks to the nearest minute and solve problem relating to time

Multiply 1digit numbers by 2digit numbers using a grid method, learning to mental calculation

Solve problems relating to basic multiplication and division

Read and interpret data from a variety of charts and diagrams

Understand the properties of a variety 2D and 3D shapes including reference to angles

Solve multistep problems relating fractions
Year 4

Understand place value up to 10,000

Calculate using negative numbers in context

Solve problems relating to all four operations, including word problems

Read 12hour and 24hour digital clocks and solve related time problems

Recall multiplication and division facts relating to all times tables up to 12x12

Develop a repertoire of mental methods calculating with all four operations

Add and subtract numbers up to 10,000 using a contracted written method of calculation (see the calculation policy)

Round numbers to the nearest 10, 100 and 1,000 using an understanding of place value

Multiply numbers up to 1,000 with 1digit numbers using a contracted method of calculation (see the calculation policy)

Read coordinates in one quadrant

Understand place value for numbers including tenths and hundredths, both as fractions and decimals

Recognise and find equivalent fractions and solve fraction problems

Understand symmetry, translation and types of angles

Round decimals to the nearest one

Solve problems involving money and measures, including word problems

Read and interpret a variety of charts and diagrams, including pie charts

Find the perimeter and area of rectangles and complex shapes
Year 5

Understand place value up to 1,000,000

Round numbers to the nearest 10,000 and 100,000

Continue sequences relating to place value up to 1,000,000 and relating to decimals

Compare and order negative numbers

Estimate, measure and draw angles to the nearest degree, and identify types of angle

Understand decimals including thousandths

Round numbers to the nearest tenth

Use contracted methods of addition and subtraction for numbers up to 1,000,000 and decimals (see calculation policy)

Solve multistep problems for all four operations, including word problems

Understand and solve problems relating to factors, multiples and squares numbers

Multiply numbers up to 10,000 by 2digit numbers using a contracted written method (see calculation policy)

Divide numbers up to 10,000 by 1digit numbers using a short written method (see calculation policy)

Solve problems relating to ratio and proportion

Read, interpret and construct a variety of charts and diagrams, including line graphs and timetables

Convert between different metric units of measurement and between metric & imperial units of measurement

Solve multistep problems relating to measures, including word problems that require conversion of units

Compare, order and simplify fractions through reference to equivalent fractions, and convert between improper fractions and mixed numbers

Add, subtract and multiply fractions

Find the area and perimeter of complex shapes and the volume of cuboids

Understand percentages and the equivalence between these and fractions & decimals

Identify, define and visualise 2D and 3D shapes
Year 6

Understand place value up to 10,000,000, including decimals to three decimal places

Round numbers to various degrees, from the nearest tenth up to the nearest million

Calculate using decimals

Use contracted written methods of calculation for addition, subtraction and multiplication

Use short division or long division to divide by 2digit numbers

Choose between mental and written methods to ensure efficiency of calculation

Solve multistep problems (including word problems) for all four operations, including division problems that require interpretation of context to understand how to round

Calculate using fractions, including find fractions of amounts, and solve fractions problems

Find the area of triangles and parallelograms and the volume of cuboids, interpreting simple formulae

Solve problems relating to the perimeter and area of 2D shapes

Understand the conventional order of operations used when different operations appear in the same expression or equation

Solve multistep problems (including word problems) relating to money and measures, including those that require conversion between units

Plot and use coordinates on all four quadrants of a coordinate grid

Divide fractions by 1digit numbers

Solve problems (including word problems) relating to ratio and proportion

Read, interpret and construct a variety of charts, graphs and diagrams

Understand that angles in a triangle sum to 180 degrees, angles around a point on a straight line sum to 180 degrees and that a angles on a complete turn sum to 360 degrees; solve problems using this knowledge
Our calculation policy shows the methods that the children will be taught and used in school.
Please click the document below to view.