Maths Curriculum
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Maths accreditation map
In maths lessons at Markway School, pupils engage with schemes of work, based on their maths ages. Maths ages are defined by PUMA tests, which the pupils complete three times a year.
Pupil progress is monitored on learning pathways, which show the progress pupils are making against different strands of the curriculum. Once it is felt pupils have a strong enough understanding of the curriculum, they are put forward for accreditation as follows.
Generally from year 9 onwards  AQA Entry level qualification
Entry 1, 2 & 3 
After completion of Entry level 3  Pearson (Edexcel) Functional skills level 1 
After completion of Functional skills level 1  Pearson (Edexcel) Functional skills level 2 
Level 1
 Counting, ordering, comparing numbers to 20 and beyond
 Number stories, for addition / subtraction facts, doubles and counting on / back 1
 2D shapes: identifying, naming and sorting according to different properties
 reading, writing, comparing, ordering numbers to 20 and beyond; adding / subtracting 1 or 10
 number facts; representing addition and subtraction with concrete objects
 establishing position and direction, then comparing and measuring lengths with uniform units.
 counting on or back 1 / 2 / 3 and recognising coins, then finding totals
 use a variety of images to embed an understanding of 2digit numbers and place value, including finding 1 more / less
 embed a reliable recall of number facts, then using these to solve simple word problems
 use known number facts to add and subtract using unit patterns and other strategies
 naming and identifying 3D shapes and their properties, and then on rehearsing days of the week and months of the year
 counting, extending this skill to include counting in 2s, 5s, 10s and identifying patterns; counting is related to estimation and then to halves and quarters as equal parts of a whole.
 number facts, including doubles and halves, and the use of these in additions and subtractions to 20
 units of time and telling the time to the nearest half hour, and on developing understanding of how long a minute, hour, day, week, etc. are
 addition and subtraction, specifically in relation to counting on and back, sometimes crossing 10
 place value in 2digit numbers and then in relation to money: £1s, 10s, 1ps; children find 1 / 10 more / less than any number
 consolidate understanding of 2digit numbers, representing these in different ways, and partitioning into 10s and 1s
 revision of number facts and using these to solve additions and subtractions involving 1 and 2digit numbers.
 weight and capacity, comparing and using uniform nonstandard units to measure both; information is recorded in block graphs for ease and clarity
 doubling and halving numbers, and recognising halves and quarters of shapes; and on recognising coins and solving money problems
 rehearsing place value in 2digit numbers
 identify patterns in multiples of 2, 5 and 10, and relating counting in 2s to doubling and halving
 telling the time to the quarter hour; on measuring lengths, recording information in pictograms and block graphs; and on repeating patterns using 2D shapes
 use number facts to solve additions and subtractions involving 1 and 2digit numbers and finding change
 consolidate understanding of 2digit numbers; and on exploring patterns in multiples of 2, 5 and 10
Level 2
 place value in numbers 0–100 and different ways of representing, comparing and ordering these
 learn and use addition and subtraction number facts, including bonds to 10, in simple and harder calculations
 identify and classify 2D shapes, using a variety of sorting devices
 develop a good understanding of place value, comparing and ordering numbers to 100, including ordinal numbers
 add and subtract smaller 2digit numbers to and from larger ones
 understand the vocabulary associated with position and movement and then comparing and measuring lengths using cm and m
 adding, subtracting, doubling and halving 2digit numbers, using an understanding of place value
 counting in uniform steps, using coins to help us create sequences and find totals.
 understand place value in numbers to 100 and beginning to use this to add and subtract 2digit numbers
 revise, then use, bonds to 10 in addition (counting on, bridging 10), and subtraction (finding a difference, extending to calculating change)
 identify 3D shapes and their properties, including naming 2D faces; and then on rehearsing telling the time on analogue and digital clocks
 extend understanding of place value to include landmarked lines and estimation
 doubling and halving, including odd numbers, leading to counting in halves and mixed numbers; unit and nonunit fractions are then modelled using a variety of images
 clever counting’ on the number line, and introduces the × sign for multiplication
 telling the time and further develops children’s understanding of the units of time; time is then used as the context for data to be represented on pictograms and block graphs
 ‘clever counting’ using arrays as well as number lines; division is introduced as the inverse of multiplication
 rehearse coin and note values, and on writing amounts of money; money is then used as the context for adding and finding totals
 secure a robust understanding of place value, including adding and subtracting 2digit numbers by counting on/back in 10s and 1s
 use number facts to solve additions and subtractions, including adding several numbers and counting up using complements to the next multiple of 10 to find a difference
 use nonstandard and standard units to measure and compare weights and capacities; and on using this context to revise the use of block graphs
 doubling and halving as inverse operations, and relates division to fractions, including finding halves, quarters and thirds of amounts
 mental addition and subtraction strategies, using number facts and place value; and on using £.p notation and solving money problems
 relate multiplication and division to ‘clever counting’ (steps of 2, 3, 5, 10), understanding multiplication as arrays, and solving divisions as missing number problems
 estimating and measuring lengths in cm; and on telling the time to 5 minutes
 adding by partitioning; finding differences; and on multiplying and dividing by counting in steps
 Revise place value in 2digit numbers, and extending to place value in 3digit numbers
Level 3
 revise the understanding and use of place value and number facts in mental addition and subtraction
 key multiplication and division facts and on doubling and halving
 tell the time with increasing accuracy, and identifying, describing and sorting 3D shapes
 placing 2 and 3digit numbers on a line and using an empty number line to find differences
 doubling and halving, and understanding a half and other unit fractions
 understand place value, including in money, and on using partitioning in adding and subtracting
 SI units and measurement of length and capacity
 use number lines to compare and round numbers and to find differences
 revise key calculation strategies and their use in word problems
 embed a thorough understanding of place value and properties of numbers
 partitioning in addition; and on the 2, 3, 4, 5, 8 and 10 times tables
 fractions as numbers, finding equivalent fractions, placing fractions on a line, and on fractions as operators, finding fractions of amounts
 angles, including right angles, measurement of turn, and the ° symbol; and on properties of 2D shapes and finding perimeters
 secure understanding of place value underpins rounding, mental addition and subtraction, and column methods of addition
 timetelling on digital and analogue clocks, and the calculation of time intervals; these are used in solving word problems
 Use number lines to facilitate an understanding of place value in 3digit numbers, and as an efficient method of performing subtraction involving 3digit numbers
 develop multiplication strategies using doubling and halving and the grid method; division is related to multiplication and this relationship is used to solve missing number problems
 secure understanding of addition and subtraction and rehearsing sound mental strategies, extending to adding and subtracting fractions
 develop understanding and skills in multiplication and division, including using tables facts to solve scaling problems, multiplications using the grid method, and divisions using chunking
 draw and interpret pictograms and bar graphs with different scales, and on using these to record and analyse data in the context of measuring weights
 mental and written addition and subtraction, including mental strategies, column addition, subtracting by counting up, and choosing appropriate methods to solve problems
 understand the vocabulary of shape and angle, including measuring perimeters; and on telling the time 5, 10, 20 minutes later using am/pm and 24hour clock
 consolidate written multiplication and division strategies, securing understanding of the relation between division and fractions, and moving to finding tenths of amounts
 rehearse and consolidate mental and written calculation skills in addition, subtraction, multiplication and division
Level 4
mental strategies in addition and subtraction, including the use of a robust understanding of place value

 learn and use multiplication and division facts in solving more advanced problems
 tell the time, calculate time intervals and using m, cm and mm in the measurement of lengths
 use formal written methods of addition and subtraction
 fractions and decimals, and end by using place value in formal addition
 SI units in measuring, reading scales and collecting, interpreting and recording data
 use place value to underpin an understanding of different methods in subtraction and to choose between these
 develop knowledge and understanding of multiplication and division to enable children to tackle harder problems
 robust understanding of place value and numbers to 10,000, including counting in equal steps; this understanding is then used to underpin mental addition and subtraction
 written calculation methods underpinned by a secure understanding of place value: vertical subtraction and multiplication methods, and multiplication problems involving money
 mental multiplication and division strategies, which underpin the work on proper fractions that follows, including finding nonunit fractions of amounts, equivalent fractions and simplifying
 properties of 2D shapes, including angles, parallel and perpendicular lines, and symmetry
 relationship between the operations, particularly multiplication and division, and then between addition and subtraction; these important inverse relationships are linked to mental calculation
 adding and subtracting 2, 3 and 4 digit numbers; and on using knowledge of factors, products and doubling to solve multiplication problems mentally
 addition and subtraction using written column methods
 use coordinate grids; and developing that understanding to draw line graphs and know that intermediate points have meaning
 enhance mental and written strategies for multiplication and division; and link this to unit and nonunit fractions and the decimal results of dividing by 10 and 100.
 consolidate place value in 4 and 5digit numbers, extending to decimals; including multiplying and dividing by 10 and 100, placing numbers (including negative) on lines, and adding and subtracting powers of 10
 extend knowledge of times tables, using this to develop understanding of harder written multiplication algorithms; and on division as the inverse of multiplication
 calculate perimeters and areas of shapes, and on properties of 2D and 3D shapes
 develop and enhance the concept of decimal number, including relating decimal fractions to proper fractions and recognising equivalents
 add and subtract 2, 3 and 4 digit numbers; and on using knowledge of factors, products and doubling to solve multiplication problems mentally
 addition and subtraction using written column methods
 use coordinate grids; and developing that understanding to draw line graphs and know that intermediate points have meaning
 enhance mental and written strategies for multiplication and division; and link this to unit and nonunit fractions and the decimal results of dividing by 10 and 100
Level 5
 establish a robust understanding of place value and using this in the development of addition and subtraction calculation strategies
 multiplying and dividing to get decimal numbers, and then on mental strategies in multiplication and division
 calculate time intervals and on measuring lengths in cm and mm including perimeters
 use formal written subtraction and counting up as appropriate, including when finding change
 multiplication and division, and extend children’s understanding of fractions
 concept of angles as degrees of ‘turn’, and on comparison, identification and measurement of angles
 compare and order whole numbers and decimals, and on equivalence in relation to proper fractions and decimals
 indepth revision of the four operations, including calculation strategies and the inverse relation between addition and subtraction, multiplication and division
 develop a robust understanding of place value in larger whole numbers and in decimals; this is used to enable children to round any number to the nearest required power of ten
 rehearse and develop mental calculation strategies for addition and subtraction
 rehearse and develop mental calculation strategies for multiplication and division, and on identifying patterns and rules
 explore the properties of triangles, naming and identifying the different types; and then on SI units of measure, reading scales and conversion problems
 column addition of decimal numbers, and on mental subtraction of decimal numbers
 develop written methods for multiplication and division; division is linked to finding fractions of large amounts
 develop understanding of polygons and angles, particularly in relation to quadrilaterals; metric units are then revised and regularly used imperial units are taught
 revise proper fractions and equivalent fractions, and then mixed numbers and improper fractions; proper fractions are multiplied by whole numbers
 rehearse column subtraction and extend to larger / more difficult numbers; column addition and subtraction are used to solve problems
 adding and subtracting numbers in the context of money and contextual problems
 Multiply and convert fractions; and on short and long multiplication of whole numbers
 place value in decimals, including multiplying and dividing by 10 and 100
 plotting, reflecting and translating shapes on coordinate grids; and on extending understanding of properties of 2D and 3D shapes
 written methods of addition and subtraction, and choosing efficient strategies to solve problems
 factors and multiples; on securing the concept of equivalent fractions to enable calculations with fractions; and on further developing written methods of multiplication and division
 calculate areas, perimeters and volumes, and understanding the difference between measurement in one, two and three dimensions
 percentages and how they relate to fractions and decimals, and solving problems by finding percentages of amounts
 revision of: line graphs; calculating time intervals; finding cubes of numbers; using factors to multiply; and solving scaling problems involving fractions and measures
Level 6
 understand place value in relation to whole numbers and decimals, which is then used in written methods and mental strategies in addition
 algebra – developing the use of trial and improvement methods, knowledge of the order of operations including brackets, and the manipulation of sentences containing unknowns
 measurement in and conversion of SI and imperial units; it also covers the use of 24hour clock and calculation of time intervals
 mental strategies and written methods in subtracting and the appropriate use of both with whole and decimal numbers, including money
 mental strategies and written methods in multiplying; both long and short multiplication are rehearsed, alongside a range of mental tactics
 positive and negative whole numbers, and then comparing, ordering, adding and subtracting fractions, including mixed numbers
 2D shapes, their properties, areas, and perimeters, and 3D shapes, their nets, volumes and properties
 division and fractions; mental strategies and short division, giving remainders as fractions; fractions are added, subtracted, multiplied and divided; finding percentages is also covered
 understand place value in large numbers, which underpins the subtraction work that follows
 understand decimal and proper fractions and their equivalences; calculations including multiplication of these numbers are rehearsed
 2D shapes, particularly quadrilaterals, in relation to their diagonals and interior angles; circles are also taught, along with relevant terminology
 mental and written addition and subtraction methods, including solving word problems
 number patterns involving factors and multiples, and on long division
 solve addition and subtraction problems involving money and decimals
 data representation and manipulation, including line graphs, pie charts and the use and calculation of averages
 position on a 4quadrant coordinate grid, with polygons being plotted, translated and reflected; the week concludes with angle theorems
 use of written algorithms in multiplying and dividing large numbers; both long and short versions of these methods are taught
 use of generalisations and simple formula, including to find the nth term in a sequence; then moves on to ratio
 revision of place value in large numbers and in decimal fractions
 revision of: mental and written strategies in addition and subtraction; finding percentages; order of operations; and finding unknowns in equations
 revision of: written algorithms for multiplication and division and mental strategies including the use of factors; finding fractions of amounts; and calculating mean average
 revision of: equivalence in fractions; and using this to add, subtract, multiply and divide fractions; and solving ratio problems
 revision of: properties of 2D shapes; angle types and theorems; perimeter, area and volume; 24hour clock time intervals; and tables, graphs and charts
 explore a variety of interesting mathematical concepts and processes, including binary numbers and Napier’s bones; playing with numbers, discovering patterns and solving mathematical puzzles