Purpose of study
Mathematics is a creative and highly interconnected 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 highquality 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
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.
Mathematics at Holy Cross
Mathematics teaches us how to make sense of the world around us through developing a child’s ability to calculate, to reason and to solve problems. It enables children to understand and appreciate relationships and pattern in both number and space in their everyday lives. Through their growing knowledge and understanding, children learn to appreciate the contribution made by many cultures to the development and application of mathematics.
At Holy Cross we aim to:

promote enjoyment and enthusiasm for learning through practical activity, exploration and discussion;

promote confidence and competence with numbers and the number system;

develop the ability to solve problems through decisionmaking and reasoning in a range of contexts;

develop a practical understanding of the ways in which information is gathered and presented;

explore features of shape and space, and develop measuring skills in a range of contexts;

understand the importance of mathematics in everyday life.

help our parents in their knowledge of Numeracy through workshops on Calculation to support the childrens’ work both in school at home.
Teaching and learning Mathematics at Holy Cross
We use a variety of teaching and learning styles to develop children’s knowledge, skills and understanding in mathematics. We do this through lessons that have a high proportion of wholeclass and group teaching. During these lessons we encourage children to ask as well as answer mathematical questions and give explanations. They have the opportunity to use a wide range of resources such as number lines, number squares, number cards and small apparatus to support their work. Wherever possible, we encourage the children to use and apply their learning in everyday situations.
In all classes there are children of differing mathematical ability. We recognise this fact and provide suitable learning opportunities for all children by matching the challenge of the task to the ability of the child. We achieve this through a range of strategies – in some lessons through differentiated group work and in other lessons by organising the children to work in pairs on openended problems or games. We use Teaching Assistants to support some children and to ensure that work is matched to the needs of individuals
Clear links are made to other areas of the curriculum to make maths as meaningful and accessible as possible for our children. This encompasses:
• Practical activities;
• Problem Solving;
• Investigation;
• Pen and Paper work;
• Using ICT;
• Calculator activities;
• Mental Maths activities;
• Using the local environment.
Information and communication technology (ICT)
Calculators should not be used as a substitute for good written and mental arithmetic. They should therefore only be introduced near the end of key stage 2 to support pupils’ conceptual understanding and exploration of more complex number problems, if written and mental arithmetic are secure. In both primary and secondary schools, teachers should use their judgement about when ICT tools should be used.
Spoken language
The national curriculum for mathematics reflects the importance of spoken language in pupils’ development across the whole curriculum – cognitively, socially and linguistically. The quality and variety of language that pupils hear and speak are key factors in developing their mathematical vocabulary and presenting a mathematical justification, argument or proof. They must be assisted in making their thinking clear to themselves as well as others, and teachers should ensure that pupils build secure foundations by using discussion to probe and remedy their misconceptions.
School curriculum
The programmes of study for mathematics are set out yearbyyear for key stages 1 and 2. Schools are, however, only required to teach the relevant programme of study by the end of the key stage. Within each key stage, schools therefore have the flexibility to introduce content earlier or later than set out in the programme of study. In addition, schools can introduce key stage content during an earlier key stage, if appropriate. All schools are also required to set out their school curriculum for mathematics on a yearbyyear basis and make this information available online.
Attainment targets
By the end of each key stage, pupils are expected to know, apply and understand the matters, skills and processes specified in the relevant programme of study.
Assessment
Learning must be focused on individual pupils’ needs and abilities. Assessment for
learning is a powerful tool for making sure that learning fits individual needs.
At Holy Cross we use ongoing assessment, gaps analysis tests and child friendly
targets to help every child develop to his or her potential, help the school to improve and help parents and the public to understand the progress and performance of the school. All children have targets in their books to support their learning. This enables to take greater ownership of their own progress.
In Mathematics children’s progress throughout each year is monitored through Assertive Mentoring and NFER assessments. Teachers track children’s progress each term by making observations, marking work and engaging in assessment activities.
Parent support
In EYFS, children follow the Early Years Outcomes to develop their mathematical skills and understanding. All other year groups follow the Maths National Curriculum 2014.
Key stage 1 – years 1 and 2
The principal focus of mathematics teaching in key stage 1 is to ensure that pupils develop confidence and mental fluency with whole numbers, counting and place value. This should involve working with numerals, words and the 4 operations, including with practical resources [for example, concrete objects and measuring tools].
At this stage, pupils should develop their ability to recognise, describe, draw, compare and sort different shapes and use the related vocabulary. Teaching should also involve using a range of measures to describe and compare different quantities such as length, mass, capacity/volume, time and money.
By the end of year 2, pupils should know the number bonds to 20 and be precise in using and understanding place value. An emphasis on practice at this early stage will aid fluency.
Pupils should read and spell mathematical vocabulary, at a level consistent with their increasing word reading and spelling knowledge at key stage 1.
Year 1 programme of study
Number – number and place value
Pupils should be taught to:
 count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number
 count, read and write numbers to 100 in numerals; count in multiples of 2s, 5s and 10s
 given a number, identify 1 more and 1 less
 identify and represent numbers using objects and pictorial representations including the number line, and use the language of: equal to, more than, less than (fewer), most, least
 read and write numbers from 1 to 20 in numerals and words
Number – addition and subtraction
Pupils should be taught to:
 read, write and interpret mathematical statements involving addition (+), subtraction (−) and equals (=) signs
 represent and use number bonds and related subtraction facts within 20
 add and subtract onedigit and twodigit numbers to 20, including 0
 solve onestep problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as 7 = ? − 9
Number – multiplication and division
Pupils should be taught to:
 solve onestep problems involving multiplication and division, by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacher
Number – fractions
Pupils should be taught to:
 recognise, find and name a half as 1 of 2 equal parts of an object, shape or quantity
 recognise, find and name a quarter as 1 of 4 equal parts of an object, shape or quantity
Measurement
Pupils should be taught to:
 compare, describe and solve practical problems for:
 lengths and heights [for example, long/short, longer/shorter, tall/short, double/half]
 mass/weight [for example, heavy/light, heavier than, lighter than]
 capacity and volume [for example, full/empty, more than, less than, half, half full, quarter]
 time [for example, quicker, slower, earlier, later]
 measure and begin to record the following:
 lengths and heights
 mass/weight
 capacity and volume
 time (hours, minutes, seconds)
 recognise and know the value of different denominations of coins and notes
 sequence events in chronological order using language [for example, before and after, next, first, today, yesterday, tomorrow, morning, afternoon and evening]
 recognise and use language relating to dates, including days of the week, weeks, months and years
 tell the time to the hour and half past the hour and draw the hands on a clock face to show these times
Geometry – properties of shapes
Pupils should be taught to:
 recognise and name common 2D and 3D shapes, including:
 2D shapes [for example, rectangles (including squares), circles and triangles]
 3D shapes [for example, cuboids (including cubes), pyramids and spheres]
Geometry – position and direction
Pupils should be taught to:
 describe position, direction and movement, including whole, half, quarter and threequarter turns
Year 2 programme of study
Number – number and place value
Pupils should be taught to:
 count in steps of 2, 3, and 5 from 0, and in 10s from any number, forward and backward
 recognise the place value of each digit in a twodigit number (10s, 1s)
 identify, represent and estimate numbers using different representations, including the number line
 compare and order numbers from 0 up to 100; use <, > and = signs
 read and write numbers to at least 100 in numerals and in words
 use place value and number facts to solve problems
Number – addition and subtraction
Pupils should be taught to:
 solve problems with addition and subtraction:
 using concrete objects and pictorial representations, including those involving numbers, quantities and measures
 applying their increasing knowledge of mental and written methods
 recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100
 add and subtract numbers using concrete objects, pictorial representations, and mentally, including:
 a twodigit number and 1s
 a twodigit number and 10s
 2 twodigit numbers
 adding 3 onedigit numbers
 show that addition of 2 numbers can be done in any order (commutative) and subtraction of 1 number from another cannot
 recognise and use the inverse relationship between addition and subtraction and use this to check calculations and solve missing number problems
Number – multiplication and division
Pupils should be taught to:
 recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables, including recognising odd and even numbers
 calculate mathematical statements for multiplication and division within the multiplication tables and write them using the multiplication (×), division (÷) and equals (=) signs
 show that multiplication of 2 numbers can be done in any order (commutative) and division of 1 number by another cannot
 solve problems involving multiplication and division, using materials, arrays, repeated addition, mental methods, and multiplication and division facts, including problems in contexts
Number – fractions
Pupils should be taught to:
 recognise, find, name and write fractions , , and of a length, shape, set of objects or quantity
 write simple fractions, for example of 6 = 3 and recognise the equivalence of and
Measurement
Pupils should be taught to:
 choose and use appropriate standard units to estimate and measure length/height in any direction (m/cm); mass (kg/g); temperature (°C); capacity (litres/ml) to the nearest appropriate unit, using rulers, scales, thermometers and measuring vessels
 compare and order lengths, mass, volume/capacity and record the results using >, < and =
 recognise and use symbols for pounds (£) and pence (p); combine amounts to make a particular value
 find different combinations of coins that equal the same amounts of money
 solve simple problems in a practical context involving addition and subtraction of money of the same unit, including giving change
 compare and sequence intervals of time
 tell and write the time to five minutes, including quarter past/to the hour and draw the hands on a clock face to show these times
 know the number of minutes in an hour and the number of hours in a day
Geometry – properties of shapes
Pupils should be taught to:
 identify and describe the properties of 2D shapes, including the number of sides, and line symmetry in a vertical line
 identify and describe the properties of 3D shapes, including the number of edges, vertices and faces
 identify 2D shapes on the surface of 3D shapes, [for example, a circle on a cylinder and a triangle on a pyramid]
 compare and sort common 2D and 3D shapes and everyday objects
Geometry – position and direction
Pupils should be taught to:
 order and arrange combinations of mathematical objects in patterns and sequences
 use mathematical vocabulary to describe position, direction and movement, including movement in a straight line and distinguishing between rotation as a turn and in terms of right angles for quarter, half and threequarter turns (clockwise and anticlockwise)
Statistics
Pupils should be taught to:
 interpret and construct simple pictograms, tally charts, block diagrams and tables
 ask and answer simple questions by counting the number of objects in each category and sorting the categories by quantity
 askandanswer questions about totalling and comparing categorical data
Lower key stage 2 – years 3 and 4
The principal focus of mathematics teaching in lower key stage 2 is to ensure that pupils become increasingly fluent with whole numbers and the 4 operations, including number facts and the concept of place value. This should ensure that pupils develop efficient written and mental methods and perform calculations accurately with increasingly large whole numbers.
At this stage, pupils should develop their ability to solve a range of problems, including with simple fractions and decimal place value. Teaching should also ensure that pupils draw with increasing accuracy and develop mathematical reasoning so they can analyse shapes and their properties, and confidently describe the relationships between them. It should ensure that they can use measuring instruments with accuracy and make connections between measure and number.
By the end of year 4, pupils should have memorised their multiplication tables up to and including the 12 multiplication table and show precision and fluency in their work.
Pupils should read and spell mathematical vocabulary correctly and confidently, using their growing wordreading knowledge and their knowledge of spelling.
Year 3 programme of study
Number – number and place value
Pupils should be taught to:
 count from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given number
 recognise the place value of each digit in a 3digit number (100s, 10s, 1s)
 compare and order numbers up to 1,000
 identify, represent and estimate numbers using different representations
 read and write numbers up to 1,000 in numerals and in words
 solve number problems and practical problems involving these ideas
Number – addition and subtraction
Pupils should be taught to:
 add and subtract numbers mentally, including:
 a threedigit number and 1s
 a threedigit number and 10s
 a threedigit number and 100s
 add and subtract numbers with up to 3 digits, using formal written methods of columnar addition and subtraction
 estimate the answer to a calculation and use inverse operations to check answers
 solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction
Number – multiplication and division
Pupils should be taught to:
 recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables
 write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for twodigit numbers times onedigit numbers, using mental and progressing to formal written methods
 solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects
Number – fractions
Pupils should be taught to:
 count up and down in tenths; recognise that tenths arise from dividing an object into 10 equal parts and in dividing onedigit numbers or quantities by 10
 recognise, find and write fractions of a discrete set of objects: unit fractions and nonunit fractions with small denominators
 recognise and use fractions as numbers: unit fractions and nonunit fractions with small denominators
 recognise and show, using diagrams, equivalent fractions with small denominators
 add and subtract fractions with the same denominator within one whole [for example, + = ]
 compare and order unit fractions, and fractions with the same denominators
 solve problems that involve all of the above
Measurement
Pupils should be taught to:
 measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml)
 measure the perimeter of simple 2D shapes
 add and subtract amounts of money to give change, using both £ and p in practical contexts
 tell and write the time from an analogue clock, including using Roman numerals from I to XII, and 12hour and 24hour clocks
 estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes and hours; use vocabulary such as o’clock, am/pm, morning, afternoon, noon and midnight
 know the number of seconds in a minute and the number of days in each month, year and leap year
 compare durations of events [for example, to calculate the time taken by particular events or tasks]
Geometry – properties of shapes
Pupils should be taught to:
 draw 2D shapes and make 3D shapes using modelling materials; recognise 3D shapes in different orientations and describe them
 recognise angles as a property of shape or a description of a turn
 identify right angles, recognise that 2 right angles make a halfturn, 3 make threequarters of a turn and 4 a complete turn; identify whether angles are greater than or less than a right angle
 identify horizontal and vertical lines and pairs of perpendicular and parallel lines
Statistics
Pupils should be taught to:
 interpret and present data using bar charts, pictograms and tables
 solve onestep and twostep questions [for example ‘How many more?’ and ‘How many fewer?’] using information presented in scaled bar charts and pictograms and tables
Year 4 programme of study
Number – number and place value
Pupils should be taught to:
 count in multiples of 6, 7, 9, 25 and 1,000
 find 1,000 more or less than a given number
 count backwards through 0 to include negative numbers
 recognise the place value of each digit in a fourdigit number (1,000s, 100s, 10s, and 1s)
 order and compare numbers beyond 1,000
 identify, represent and estimate numbers using different representations
 round any number to the nearest 10, 100 or 1,000
 solve number and practical problems that involve all of the above and with increasingly large positive numbers
 read Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of 0 and place value
Number – addition and subtraction
Pupils should be taught to:
 add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate
 estimate and use inverse operations to check answers to a calculation
 solve addition and subtraction twostep problems in contexts, deciding which operations and methods to use and why
Number – multiplication and division
Pupils should be taught to:
 recall multiplication and division facts for multiplication tables up to 12 × 12
 use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together 3 numbers
 recognise and use factor pairs and commutativity in mental calculations
 multiply twodigit and threedigit numbers by a onedigit number using formal written layout
 solve problems involving multiplying and adding, including using the distributive law to multiply twodigit numbers by 1 digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objects
Number – fractions (including decimals)
Pupils should be taught to:
 recognise and show, using diagrams, families of common equivalent fractions
 count up and down in hundredths; recognise that hundredths arise when dividing an object by 100 and dividing tenths by 10
 solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including nonunit fractions where the answer is a whole number
 add and subtract fractions with the same denominator
 recognise and write decimal equivalents of any number of tenths or hundreds
 recognise and write decimal equivalents to , ,
 find the effect of dividing a one or twodigit number by 10 and 100, identifying the value of the digits in the answer as ones, tenths and hundredths
 round decimals with 1 decimal place to the nearest whole number
 compare numbers with the same number of decimal places up to 2 decimal places
 solve simple measure and money problems involving fractions and decimals to 2 decimal places
Measurement
Pupils should be taught to:
 convert between different units of measure [for example, kilometre to metre; hour to minute]
 measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres
 find the area of rectilinear shapes by counting squares
 estimate, compare and calculate different measures, including money in pounds and pence
 read, write and convert time between analogue and digital 12 and 24hour clocks
 solve problems involving converting from hours to minutes, minutes to seconds, years to months, weeks to days
Geometry – properties of shapes
Pupils should be taught to:
 compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes
 identify acute and obtuse angles and compare and order angles up to 2 right angles by size
 identify lines of symmetry in 2D shapes presented in different orientations
 complete a simple symmetric figure with respect to a specific line of symmetry
Geometry – position and direction
Pupils should be taught to:
 describe positions on a 2D grid as coordinates in the first quadrant
 describe movements between positions as translations of a given unit to the left/right and up/down
 plot specified points and draw sides to complete a given polygon
Statistics
Pupils should be taught to:
 interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs
 solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs
Upper key stage 2 – years 5 and 6
The principal focus of mathematics teaching in upper key stage 2 is to ensure that pupils extend their understanding of the number system and place value to include larger integers. This should develop the connections that pupils make between multiplication and division with fractions, decimals, percentages and ratio.
At this stage, pupils should develop their ability to solve a wider range of problems, including increasingly complex properties of numbers and arithmetic, and problems demanding efficient written and mental methods of calculation. With this foundation in arithmetic, pupils are introduced to the language of algebra as a means for solving a variety of problems. Teaching in geometry and measures should consolidate and extend knowledge developed in number. Teaching should also ensure that pupils classify shapes with increasingly complex geometric properties and that they learn the vocabulary they need to describe them.
By the end of year 6, pupils should be fluent in written methods for all 4 operations, including long multiplication and division, and in working with fractions, decimals and percentages.
Pupils should read, spell and pronounce mathematical vocabulary correctly.
Year 5 programme of study
Number – number and place value
Pupils should be taught to:
 read, write, order and compare numbers to at least 1,000,000 and determine the value of each digit
 count forwards or backwards in steps of powers of 10 for any given number up to 1,000,000
 interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through 0
 round any number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000 and 100,000
 solve number problems and practical problems that involve all of the above
 read Roman numerals to 1,000 (M) and recognise years written in Roman numerals
Number – addition and subtraction
Pupils should be taught to:
 add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction)
 add and subtract numbers mentally with increasingly large numbers
 use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy
 solve addition and subtraction multistep problems in contexts, deciding which operations and methods to use and why
Number – multiplication and division
Pupils should be taught to:
 identify multiples and factors, including finding all factor pairs of a number, and common factors of 2 numbers
 know and use the vocabulary of prime numbers, prime factors and composite (nonprime) numbers
 establish whether a number up to 100 is prime and recall prime numbers up to 19
 multiply numbers up to 4 digits by a one or twodigit number using a formal written method, including long multiplication for twodigit numbers
 multiply and divide numbers mentally, drawing upon known facts
 divide numbers up to 4 digits by a onedigit number using the formal written method of short division and interpret remainders appropriately for the context
 multiply and divide whole numbers and those involving decimals by 10, 100 and 1,000
 recognise and use square numbers and cube numbers, and the notation for squared (²) and cubed (³)
 solve problems involving multiplication and division, including using their knowledge of factors and multiples, squares and cubes
 solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign
 solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates
Number – fractions (including decimals and percentages)
Pupils should be taught to:
 compare and order fractions whose denominators are all multiples of the same number
 identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths
 recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number [for example, + = = 1 ]
 add and subtract fractions with the same denominator, and denominators that are multiples of the same number
 multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams
 read and write decimal numbers as fractions [for example, 0.71 = ]
 recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents
 round decimals with 2 decimal places to the nearest whole number and to 1 decimal place
 read, write, order and compare numbers with up to 3 decimal places
 solve problems involving number up to 3 decimal places
 recognise the per cent symbol (%) and understand that per cent relates to ‘number of parts per 100’, and write percentages as a fraction with denominator 100, and as a decimal fraction
 solve problems which require knowing percentage and decimal equivalents of , , , , and those fractions with a denominator of a multiple of 10 or 25
Measurement
Pupils should be taught to:
 convert between different units of metric measure [for example, kilometre and metre; centimetre and metre; centimetre and millimetre; gram and kilogram; litre and millilitre]
 understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pints
 measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres
 calculate and compare the area of rectangles (including squares), including using standard units, square centimetres (cm²) and square metres (m²), and estimate the area of irregular shapes
 estimate volume [for example, using 1 cm³ blocks to build cuboids (including cubes)] and capacity [for example, using water]
 solve problems involving converting between units of time
 use all four operations to solve problems involving measure [for example, length, mass, volume, money] using decimal notation, including scaling
Geometry – properties of shapes
Pupils should be taught to:
 identify 3D shapes, including cubes and other cuboids, from 2D representations
 know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles
 draw given angles, and measure them in degrees (°)
 identify:
 angles at a point and 1 whole turn (total 360°)
 angles at a point on a straight line and half a turn (total 180°)
 other multiples of 90°
 use the properties of rectangles to deduce related facts and find missing lengths and angles
 distinguish between regular and irregular polygons based on reasoning about equal sides and angles
Geometry – position and direction
Pupils should be taught to:
 identify, describe and represent the position of a shape following a reflection or translation, using the appropriate language, and know that the shape has not changed
Statistics
Pupils should be taught to:
 solve comparison, sum and difference problems using information presented in a line graph
 complete, read and interpret information in tables, including timetables
Year 6 programme of study
Number – number and place value
Pupils should be taught to:
 read, write, order and compare numbers up to 10,000,000 and determine the value of each digit
 round any whole number to a required degree of accuracy
 use negative numbers in context, and calculate intervals across 0
 solve number and practical problems that involve all of the above
Number – addition, subtraction, multiplication and division
Pupils should be taught to:
 multiply multidigit numbers up to 4 digits by a twodigit whole number using the formal written method of long multiplication
 divide numbers up to 4 digits by a twodigit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context
 divide numbers up to 4 digits by a twodigit number using the formal written method of short division where appropriate, interpreting remainders according to the context
 perform mental calculations, including with mixed operations and large numbers
 identify common factors, common multiples and prime numbers
 use their knowledge of the order of operations to carry out calculations involving the 4 operations
 solve addition and subtraction multistep problems in contexts, deciding which operations and methods to use and why
 solve problems involving addition, subtraction, multiplication and division
 use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy
Number – Fractions (including decimals and percentages)
Pupils should be taught to:
 use common factors to simplify fractions; use common multiples to express fractions in the same denomination
 compare and order fractions, including fractions >1
 add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions
 multiply simple pairs of proper fractions, writing the answer in its simplest form [for example, × = ]
 divide proper fractions by whole numbers [for example, ÷ 2 = ]
 associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example, ]
 identify the value of each digit in numbers given to 3 decimal places and multiply and divide numbers by 10, 100 and 1,000 giving answers up to 3 decimal places
 multiply onedigit numbers with up to 2 decimal places by whole numbers
 use written division methods in cases where the answer has up to 2 decimal places
 solve problems which require answers to be rounded to specified degrees of accuracy
 recall and use equivalences between simple fractions, decimals and percentages, including in different contexts
Ratio and proportion
Pupils should be taught to:
 solve problems involving the relative sizes of 2 quantities where missing values can be found by using integer multiplication and division facts
 solve problems involving the calculation of percentages [for example, of measures and such as 15% of 360] and the use of percentages for comparison
 solve problems involving similar shapes where the scale factor is known or can be found
 solve problems involving unequal sharing and grouping using knowledge of fractions and multiples
Algebra
Pupils should be taught to:
 use simple formulae
 generate and describe linear number sequences
 express missing number problems algebraically
 find pairs of numbers that satisfy an equation with 2 unknowns
 enumerate possibilities of combinations of 2 variables
Measurement
Pupils should be taught to:
 solve problems involving the calculation and conversion of units of measure, using decimal notation up to 3 decimal places where appropriate
 use, read, write and convert between standard units, converting measurements of length, mass, volume and time from a smaller unit of measure to a larger unit, and vice versa, using decimal notation to up to 3 decimal places
 convert between miles and kilometres
 recognise that shapes with the same areas can have different perimeters and vice versa
 recognise when it is possible to use formulae for area and volume of shapes
 calculate the area of parallelograms and triangles
 calculate, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres (cm³) and cubic metres (m³), and extending to other units [for example, mm³ and km³]
Geometry – properties of shapes
Pupils should be taught to:
 draw 2D shapes using given dimensions and angles
 recognise, describe and build simple 3D shapes, including making nets
 compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons
 illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius
 recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles
Geometry – position and direction
Pupils should be taught to:
 describe positions on the full coordinate grid (all 4 quadrants)
 draw and translate simple shapes on the coordinate plane, and reflect them in the axes
Statistics
Pupils should be taught to:
 interpret and construct pie charts and line graphs and use these to solve problems
 calculate and interpret the mean as an average
Mathletics
The children work individually on a laptop and compete against children across the world in a online mental maths test. The children could also access this at home through their passwords.
In the classroom, the programme allows the children to work independently at their own level/stage supporting their learning with different tasks and activities set by the teacher. Homework can also be set up for children to complete.
Dividing to make fractions
Children worked in partners A and B to understand how dividing makes fractions.
Year 4 enjoyed a 6 times table party. We did lots of different activities to help us learn our 6 times tables.
Learning our 6, 7 and 9 times tables
Year 4 have been working hard to learn all their times tables up to 12 x 12! We have been singing lots of different songs and playing different games to help us remember.
Understanding Place Value
We used numicon to help us work out what one more than a number is.
We have been using a range of Maths equipment to represent different two digit numbers.
Reading and writing numbers in words
Today we have practised reading and writing 3 digit numbers in words. We had to find our partners to match numerals to words. We then challenged our partners to write numbers in words. Activity was then completed in books.
Today we have begun to look at place value up to hundreds. Using dienes we have shown what each digit in a three digit number represents. After, we selected three cards and explored numbers we could make using these cards.
Today we have recapped our understanding of place value. Using 9 counters we investigated all the numbers that we could make by changing the amount of tens and ones. Afterwards we reflected on the importance of the place value holder. We looked at numbers such as 22 and discussed how each number represents a different value.
The children have been focusing on measuring angles and calculating missing angles. In today’s lesson the children selected different shapes and measured the angles in each of the shapes and labelled each of the angles.
Year 2 have been using clocks to tell the time to half past, quarter past, quarter to and o’clock
Today we learnt that we can measure length using a ruler. We learnt that we were measuring in centimetres. We can sometimes write this as CM. We practised using a ruler to measure. We learnt that we need to start on 0 when measuring.
This week we have been learning all about the properties of 2d shapes. We used feely bags to describe the properties for our partners to guess the shape. We then found the lines of symmetry in shapes. We drew lines of symmetry onto 2d shapes.
This week we have been learning all about symmetry. We used numicon and counters to create symmetrical patterns. We enjoyed working with our partners to ensure both halves were exactly the same.
Weighing objects in our classroom!
Today we made predictions about the weight of objects in our classroom. We then used scales to find out which object was the heaviest.
Today Year one have been learning to make arrays to solve multiplication equations. We used whiteboards to practise making lots of. We understand that multiplication means lots of and can recognise the symbol.
Today Year one have looked at division through sharing. We shared some pies between teddies for a teddy bear picnic. We then used our teddies and and pies to practise ourselves. We shared/divided between 2 and 5 teddies today. We have also learnt what the symbol for division looks like and practised writing some equations.
Multiplication: Making 'lots of'
Today in Year 1 we began learning about multiplication. Three lots of teddies went for a picnic! They each took two apples. We used our teddies and apples to work out how many they had all together. Three lots of two make six! We then learnt how we could represent the teddies as circles and food they take as dots on our whiteboards. We changed the lots of teddies and how many items they took to see how many they had altogether.
Today in Year 2 we used blank number lines to place fractions.
Pupils took part in a competition for Maths, where they had to design a bedroom with a budget of £800. There were essential items that they had to include and then they could buy additional extras with the money left over. The activity included working out the area of the walls, floor and window in order to buy wallpaper, carpet and blinds.
Dividing decimals using counters
The pupils in Year 6 used counters and a place value chart to divide decimals. The chart helped pupils understand the value of each number and reinforced that the decimal point does not move.
Using objects to subtract
Today the children have been practising taking away using their blocks. We learnt how to write our equations using the subtraction symbol.
Today Year 1 have been learning all about are number bonds to 10 and practised recalling these. We used sticky fingers to share number bonds to 10. We then worked with our partners to write our number bonds to 10 In a running reporter activity, We are beginning to recall some of our number bonds!
On Wednesday 8th December our Maths Ambassadors went on a trip to Imagine That! Underwater. They had fun taking part in lots of educational activities.
In Year 4 we had a 9 times tables party
Year 4 enjoyed the problem solving workshop, working as a team to created a lego model. Only one person could look at the construction at a time. They had to give clear instructions and use mathematical vocabulary to create their lego construction.