## Maths Curriculum

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

Autumn Term

• 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

Spring Term

• use a variety of images to embed an understanding of 2-digit 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 2-digit numbers and then in relation to money: £1s, 10s, 1ps; children find 1 / 10 more / less than any number

Summer Term

• consolidate understanding of 2-digit 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 2-digit numbers.
• weight and capacity, comparing and using uniform non-standard 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 2-digit 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 2-digit numbers and finding change
• consolidate understanding of 2-digit numbers; and on exploring patterns in multiples of 2, 5 and 10

Level 2

Autumn Term

• 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 2-digit 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 2-digit numbers, using an understanding of place value
• counting in uniform steps, using coins to help us create sequences and find totals.

Spring Term

• understand place value in numbers to 100 and beginning to use this to add and subtract 2-digit 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 non-unit 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

Summer Term

• secure a robust understanding of place value, including adding and subtracting 2-digit 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 non-standard 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 2-digit numbers, and extending to place value in 3-digit numbers

Level 3

Autumn Term

• 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 3-digit 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

Spring Term

• 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
• time-telling 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 3-digit numbers, and as an efficient method of performing subtraction involving 3-digit 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

Summer Term

• 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 24-hour 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

Autumn Term

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

Spring Term

• 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 non-unit 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 non-unit fractions and the decimal results of dividing by 10 and 100.

Summer Term

• consolidate place value in 4- and 5-digit 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 non-unit fractions and the decimal results of dividing by 10 and 100

Level 5

Autumn Term

• 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
• in-depth revision of the four operations, including calculation strategies and the inverse relation between addition and subtraction, multiplication and division

Spring Term

• 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

Summer Term

• 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

Autumn Term

• 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 24-hour 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

Spring Term

• 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 4-quadrant 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

Summer Term

• 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; 24-hour 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

ANNOUNCEMENTS
• 27th-31st MAY HALF TERM
• 19TH JUNE -YEAR 11 PROM
• 21ST JUNE- LEAVERS ASSEMBLY
• 24TH-28TH JUNE YEAR 11 WORK EXPERIENCE
• YEAR 6 INDUCTION DAY 1ST & 2ND JULY
• INSET DAY 04TH SEPTEMBER 2019
• INSET DAY 29TH NOVEMBER
• INSET DAY 20th DECEMBER
• INSET DAY 31st JANUARY 2020
• INSET DAY 10th JULY 2020
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