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