# Maths

### Core Subjects - Home

At Lime Tree, we use Power Maths as a basis of our maths lesson. This is an exciting class mastery approach, which has been recommended by the DfE, that works for every child. It is based upon the concrete, pictorial and abstract approach.

Every lesson is divided into sections that involve plenty of discovery, sharing, collaboration, practice and reflection. Children are encouraged to solve problems each day through the use of concrete resources, pictorial representations and abstract thinking.

At the heart of this programme is the idea that all children can achieve and be successful mathematicians with the right growth mindset. It promotes five child friendly characters, each with their own positive skillset, to inspire and motivate children.

### Assessment

Ready to Progress criteria form the basis for assessing the conceptual knowledge and understanding that pupils need as they progress from year 1 to year 6. These criteria are grouped into six key areas:

• Place Value - incorporating measurement and statistics

• Fluency

• Multiplication and Division

• Fractions

• Geometry - incorporating elements of measurement that relate to shape

For pupils to be able to successfully access the curriculum in the next academic year, they should leave their current year group being able to understand and use the mathematical skills and knowledge listed in the linked tables. ## EYFS Milestones

• Combine objects like stacking blocks and cups. Put objects inside others and take them out again

• Take part in finger rhymes with numbers

• React to changes of amount in a group of up to three items

• Compare amounts, saying "lots, "more" or "same"

• Counting-like behaviour, such as making sounds, pointing or saying some numbers in sequence

• Count in everyday contexts, sometimes skipping numbers -"1,2,3,5"

• Climb and squeezing selves into different types of spaces

• Build with a range of resources

• Complete inset puzzles

• Compare sizes, weights etc, using gesture and language - "bigger/little/smaller", "high/low", "tall", "heavy"

• Notice patterns and arrange things in patterns

## Year 1 Milestones

NUMBER: PLACE VALUE

• Count within 100, forwards and backwards

• Compare numbers using < > and =

NUMBER: FLUENCY

• Develop fluency in addition and subtraction facts within 10

• Count forwards and backwards in multiples of 2, 5 and 10, up to 10 multiples, beginning with any multiple

• Count forwards and backwards through the odd numbers

• Make numbers to 10 from two parts, for example, recognising that 8 + 2 = 10

• Partition numbers to ten into parts and recognise odd and even numbers

• Read, write and interpret mathematical statements containing +, - and = symbols

• Relate additive expressions and equations to real life contexts

MULTIPLICATION AND DIVISION

GEOMETRY

• Recognise common 2D and 3D shapes presented in different orientations

• Know that rectangles, triangles cuboids and pyramids are not always similar to one another

• Compose 2D and 3D shapes from smaller shapes to match an example, including manipulating shapes to place them in particular orientations.

FRACTIONS

• Recognise, find and name a half as one of two equal parts of an object, shape or quantity

• Recognise, find and name one quarter as one of four equal parts of an object, shape or quantity

## Year 2 Milestones

NUMBER: PLACE VALUE

• Recognise the place value of each digit in two-digit numbers

• Compose and decompose two-digit numbers using standard and non-standard partitioning

• Reason about the location of any two-digit number, including identifying the previous and next multiple of 10

NUMBER: FLUENCY

• Secure fluency in addition and subtraction facts within 10 through continue practice

• Add and subtract across 10

• Recognise the subtraction structure of ‘difference’ and answer questions, for example, ‘How many more….?’

• Add and subtract within 100 by applying related one-digit addition and subtraction facts

• Add and subtract any two-digit numbers

MULTIPLICATION AND DIVISION

• Recognise repeated addition, representing them with multiplication equations and calculating the product, within the 2, 5 and 10 multiplication tables

• Relate grouping problems where the number of groups is unknown to multiplication equations with a missing factor, and to division equation.

GEOMETRY

• Use precise language to describe the properties of 2D and 3D shapes

• Compare shapes by reasoning about similarities and differences to properties

FRACTIONS

• Recognise, find, name and write fractions ½, ¼ ¾ of a length, shape, set of objects of quantity

• Recognise the equivalence of ½ and 2/4

## Year 3 Milestones

NUMBER: PLACE VALUE

• Know that 10 tens are equivalent to 100

• Know that 100 is ten times the size of 10

• Identify and work out how many tens there are in other three-digit multiples of 10

• Recognise the place value of each digit in three-digit numbers

• Compose and decompose three-digit numbers using standard and non-standard partitioning

• Reasoning about the location of any three-digit number

• Divide 100 into 2, 4, 5 and 10 equal parts

• Read scales and numbers lines marked in multiples of 100 with 2, 4, 5 and 10 equal parts

NUMBER: FLUENCY

• Secure fluency in addition and subtraction facts that bridge 19 through continued practice

• Recall multiplication facts for 10, 5, 2, 4 and 8 multiplication tables

• Apply place value knowledge to known multiplication number facts

• Calculate complements (number bonds) to 100, for example 63 + 37 =100

• Add and subtract up to three-digit numbers using columnar methods

• Understand the inverse relationship between addition and subtraction

• Understand and use the commutative property of addition and understand the relates property for subtraction

MULTIPLICATION AND DIVISION

• Apply known multiplication and division facts to solve contextual problems with different structures, including quotative and partitive division

GEOMETRY

• Recognise right angles as a property of a shape or a description of a turn

• Identify right angles in 2D shapes presented in different orientations

• Draw polygons by joining marked points, and identify parallel and perpendicular sides

FRACTIONS

• Interpret and write proper fractions to represent 2 or several parts of a whole that is divided into equal parts

• Find unit fractions of quantities using known division facts

• Reasoning about the location of any fraction within in 1 in the linear number system

• Add and subtract fractions with the same denominator, within 1

## Year 4 Milestones

NUMBER: PLACE VALUE

• Know that 10 hundreds are equivalent to 1 thousand

• Know that 1,000 is 10 ten times the size of 100

• Work how many 100’s there are in other four-digit multiples of 100

• Recognise the place value of each digit in four-digit multiples

• Compose and decompose four-digit numbers using standard and non-standard partitioning

• Reason about the location of any four-digit number

• Divide 1000 into 2, 4, 5 and 10 equal parts

• Read scales/number lines marked in units of 1 with 2, 4, 5 and 10 equal parts

• Convert between units of measure, including using common decimals and fractions

NUMBER: FLUENCY

• Recall multiplication and division facts up to 12 x 12 and recognise products in multiplication tables as multiples of the corresponding number

• Solve division problems, with two-digit dividends and one-digit divisors that involve remainders, and interpret remainders appropriately according to the context

• Apply place-value knowledge to known additive and multiplicative number facts (Scaling facts by 100)

• Add and subtract numbers with up to four digits using columnar methods

• Estimate and use inverse operations to check answers to calculations

MULTIPLICATION AND DIVISION

• Multiply and divide whole numbers by 10 and 100 (keeping to whole number quotients)

• Understand this as equivalent to making a number 10 or 100 times the size

• Manipulate multiplication and division equations, and understand and apply the commutative property of multiplication

• Understand and apply the distributive property of multiplication

GEOMETRY

• Draw polygons, specified by coordinates in the first quadrant and translate within the first quadrant

• Identify regular polygons, including equilateral triangles and squares as those in which the side lengths and angles are equal. Find the perimeter of regular and irregular polygons

• Identify line symmetry in 2D shapes presented in different orientations

• Reflect shapes in a line of symmetry and complete a symmetrical figure or pattern with a specific line of symmetry

FRACTIONS

• Reason about the location of mixed numbers in the linear number system

• Convert mixed numbers to improper fractions and vice versa

• Add and subtract improper and mixed fractions with the same denominator, including bridging whole numbers

## Year 5 Milestones

NUMBER: PLACE VALUE

• Know that 10 tenths are equivalent to 1 one

• Know that 1 is 10 times the size of 0.1

• Know that 100 hundredths are equivalent to 1 one

• Know that 1 is 100 times the size of 0.01

• Know that 10 hundredths are equivalent to 1 tenth

• Recognise the place value of each digit in numbers with up to 2 decimal places

• Compose and decompose numbers with up to 2 decimal places using standard and nonstandard partitioning

• Reason about the location of any number with up to 2 decimal places, including identifying the previous and next multiple of 1 and 0.1 and rounding to the nearest o each

• Divide 1 into 2, 4, 5 and 10 equal parts

• Read scales/number lines marked in units of 1, 2, 4, 5 and 10 equal parts

• Convert between units of measure, including using common decimals and fractions

NUMBER: FLUENCY

• Secure fluency in multiplication table facts, and corresponding division facts, through continued practice

• Apply place value knowledge to know additive and multiplicative number facts (Scaling facts by 1 tenth or 1 hundredth)

• Add and subtract numbers with more than four digits using columnar methods

• Use rounding to check calculations and determine, in the context of the problem, levels of accuracy

MULTIPLICATION AND DIVISION

• Multiply and divide numbers by 10 and 100

• Understand this as equivalent to making a number 10 or 100 times the size, or 1 tenth or 1 hundredth times the size

• Find factors and multiples of positive whole numbers, including common factors and common multiples, and express a given number as a product of 2 or 3 factors

• Multiply any whole number with up to 4 digits by any one-digit number using a formal written method

• Divide a number with up to 4 digits by a one-digit number using a formal written method

• Interpret any remainders appropriately for the context

GEOMETRY

• Compare angles, estimate and measure angles in degrees and draw angles of a given size

• Compare areas and calculate the area of rectangles (including squares) using standard units

FRACTIONS

• Find non-unit fractions of quantities

• Find equivalent fractions and understand that they have the same value and the same position in the linear number system

• Recall decimal fraction equivalents for ½ ¼ 1/5 and 1/10 and for multiples of these proper fractions

## Year 6 Milestones

NUMBER: PLACE VALUE

• Understand the relationship between powers of ten from 1 hundredth to 10 million

• Use this knowledge to make a given number 10, 100, 1000, 1 tenth, 1 hundredth or 1 thousandth times the size (multiply and divide by 10, 100 and 1000)

• Recognise the place value of each digit I numbers up to 10 million, including decimal fractions

• Compose and decompose numbers up to 10 million using standard and nonstandard partitioning

• Reason about the location of any number up to 10 million including decimal and fractions

• Round numbers, as appropriate, including in contexts

• Divide powers of 10, from 1 hundredth to 10 million, into 2, 4, 5 and 10 equal parts.

• Read scales / number lines with labelled intervals divided into 2, 4, 5 and 10 equal parts

NUMBER: FLUENCY

• Understand that 2 numbers can be can be related through addition or multiplication

• Identify additive and multiplicative relationships

• Use a given additive or multiplicative calculation to derive or complete a related calculation, using arithmetic properties, inverse relationships, and place value understanding.

• Solve problems involving ratio relationships

• Solve problems with 2 unknowns

MULTIPLICATION AND DIVISION

• Understand that 2 numbers can be can be related through addition or multiplication

• Identify additive and multiplicative relationships

• Use a given additive or multiplicative calculation to derive or complete a related calculation, using arithmetic properties, inverse relationships, and place value understanding.

• Solve problems involving ratio relationships

• Solve problems with 2 unknowns

GEOMETRY

• Draw, compose, and decompose shapes according to given properties, including dimensions, angles and area, and solve related problems

FRACTIONS

• Recognise when fractions can be simplified, and use common factors to simplify fractions

• Express fractions in a common denomination and use this to compare fractions that are similar in value

• Compare fractions with different denominators, including fractions greater than 1, using reasoning, and choose between reasoning and common denomination as a comparison strategy