Lower key stage 2
Place value, counting
Year 3
- Count from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given number
Autumn 1 and 3
Year 4
- Count in multiples of 6, 7, 9 25 and 1000
- Count backwards through zero to include negative numbers
Autumn 1
Place value, represent
Year 3
- Identify, represent and estimate numbers using different representations
- Read and write numbers up to 1000 in numerals and in words
Autumn 1
Year 4
- Identify, represent and estimate numbers using different representations
- Read Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of zero and place value
Autumn 1
Place value context and compare
Year 3
- Recognise the place value of each digit in a three-digit number (hundreds, tens, ones)
- Compare and order numbers up to 1000
Autumn 1
Year 4
- Find 1000 more or less than a given number
- Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens and ones)
- Order and compare numbers beyond 1000
Autumn 1
Place value, problems and rounding
Year 3
- Solve number problems and practical problems involving these ideas
Autumn 1
Year 4
- Round any number to the nearest 10, 100 or 1000
- Solve number and practical problems that involve all of the above and with increasingly large positive numbers
Autumn 1
Addition and subtraction, recall, represent use
Year 3
- Estimate the answer to a calculation and use inverse operations to check answers
Autumn 2
Year 4
- Estimate and use inverse operations to check answers to a calculation
Autumn 2
Addition and subtraction, calculations
Year 3
- Add and subtract numbers mentally, including:
- A three-digit number and ones
- A three-digit number and tens
- A three-digit number and hundreds
- Add and subtract numbers with up to three digits, using formal written methods of columnar addition and subtraction
Autumn 2
Year 4
- Add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate
Autumn 2
Addition and subtraction, solve problems
Year 3
- Solve problems, including missing number problems, using number facts, place value and more complex addition and subtraction
Autumn 2
Year 4
- Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why
Autumn 2
Multiplication and division, recall, represent use
Year 3
- Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables
Autumn 3
Year 4
- Recall multiplication and division facts for multiplication tables up to 12 x 12
- Use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together three numbers
- Recognise and use factor pairs and commutativity in mental calculations
Autumn 2
Multiplication and division, calculations
Year 3
- Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods
Autumn 3, spring 1
Year 4
- Multiply two-digit and three-digit numbers by a one-digit number using formal written layout
Spring 1
Multiplication and division, solve problems
Year 3
- 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
Spring 1
Year 4
- Solve problems involving multiplying and adding, including using the distributive law to multiply two digit numbers by one digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objects
Spring 1
Fractions, recognise and write
Year 3
- Count up and down in tenths; recognise that tenths arise from dividing an object into 10 equal parts and in dividing one-digit numbers or quantities by 10
- Recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators
- Recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators
Spring 5
Year 4
- Count up and down in hundredths; recognise that hundredths arise when dividing an object by one hundred and dividing tenths by ten
Spring 3
Fractions, compare
Year 3
- Recognise and show, using diagrams, equivalent fractions with small denominators
- Compare and order unit fractions and fractions with the same denominators
Summer 1
Year 4
- Recognise and show, using diagrams, families of common equivalent fractions
Spring 3
Fractions, calculations
Year 3
- Add and subtract fractions with the same denominator within one whole (for example 5/7 + 1/6 = 6/7)
Summer 1
Year 4
- Add and subtract fractions with the same denominator
Spring 3
Fractions, solve problems
Year 3
- Solve problems that involve adding and subtracting fractions with the same denominator and comparing and ordering fractions with the same denominator.
Spring 5, summer 1
Year 4
- Solve problems that involve increasingly harder fractions to calculate quantities and fractions to divide quantities, including non-unit fractions where the answer is a whole number
Spring 3
Decimals, recognise and write
Year 4
- Recognise and write decimal equivalents of any number of tenths or hundredths
- Recognise and write decimal equivalents to ¼, ½ and ¾
Spring 4, summer 1
Decimals, compare
Year 4
- Round decimals with one decimal place to the nearest whole number
- Compare numbers with the same number of decimal places up to two decimal places
Summer 1
Decimals, calculations and problems
Year 4
- Find the effect of dividing a one or two-digit number by 10 or 100, identifying the value of the digits in the answer as ones, tenths and hundredths
Spring 4
Fractions, decimals and percentages
Year 4
- Solve simple measure and money problems involving fractions and decimals to two decimal places
Spring 3 and 4, summer 1
Algebra
Year 3
- Solve problems, including missing number problems
Throughout the year, although algebraic notation is not introduced until Year 6
Measurement: using measures
Year 3
- Measure, compare, add and subtract: lengths (m, cm, mm), mass (kg/g), volume/capacity (l/ml)
Spring 4, summer 4
Year 4
- Convert between different units of measure (ie. Km to m; hour to minute)
- Estimate, compare and calculate different measures
Autumn 3, spring 2, summer 3
Measurement: money
Year 3
- Add and subtract amounts of money to give change, using both £ and p in practical contexts
Spring 2
Year 4
- Estimate, compare and calculate different measures, including money in pounds and pence
Summer 2
Measurement: time
Year 3
- Tell and write the time from an analogue clock, including using Roman numerals from I to XII and 12 hour and 24 hour clocks
- Estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes and hours using vocabulary such as o’clock, am/pm, morning, afternoon, noon and midnight
- Know that there are 60 seconds in a minute and the number of days in each month, year and leap year
- Compare durations of events (ie. Time taken by particular events or tasks)
Summer 2
Year 4
- Read, write and convert between analogue and digital 12 and 24 hour clocks
- Solve problems involving converting from hours to minutes, minutes to seconds, years to months and weeks to days
Summer 3
Measurement: perimeter, area, volume
Year 3
- Measure the perimeter of simple 2D shapes
Spring 4
Year 4
- Measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres
- Find the area of rectilinear shapes by counting squares
Autumn 3, spring 2
Geometry: 2D shapes
Year 3
- Draw 2D shapes
Summer 3
Year 4
- Compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes
- Identify lines of symmetry in 2D shapes presented in different orientations
Summer 5
Geometry: 3D shapes
Year 3
- Make 3D shapes using modelling materials; recognise 3D shapes in different orientations and describe them
Summer 3
Geometry: Angles and lines
Year 3
- Recognise angles as a property of shape or a description of a turn
- Identify right angles, recognise that two right angles make a half-turn, three make three quarters of a turn and four a complete turn
- Identify whether angles are greater than or less than a right angle
- Identify horizontal and vertical lines and pairs of parallel and perpendicular lines
Summer 3
Year 4
- Identify acute and obtuse angles and compare and order angles up to two 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
Summer 3
Geometry: position and direction
Year 4
- 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
Summer 6
Statistics: present and interpret
Year 3
- Interpret and present data using bar charts, pictograms and tables
Spring 3
Year 4
- Interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs
Summer 4
Statistics: solve problems
Year 3
- Solve one-step and two-step questions (ie. How many more? How many fewer?) using information presented in scaled bar charts, pictograms and tables
Spring 3
Year 4
- Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs
Summer 4