# Maths

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

Addition and Subtraction

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

## 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

ADDITION AND SUBTRACTION

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

ADDITION AND SUBTRACTION

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

ADDITION AND SUBTRACTION

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)

ADDITION AND SUBTRACTION

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)

ADDITION AND SUBTRACTION

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

ADDITION AND SUBTRACTION

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