and division based upon the numbers involved (recall a known or related fact, calculate mentally, use a jotting, written method) based upon the numbers involved (recall a known or related fact, calculate mentally, use a jotting, written method) based upon the numbers involved (recall a known or related fact, calculate mentally, use a jotting, written method) based upon the numbers involved (recall a known or related fact, calculate mentally, use a jotting, written method) Understand multiplication as repeated addition Understand division as sharing and grouping and that a division calculation can have a remainder Show that multiplication of two numbers can be done in any order (commutative) and division of one number by another cannot Understand that division is the inverse of multiplication and vice versa Understand how multiplication and division statements can be represented using arrays Understand division as sharing and grouping and use each appropriately Recognise and use factor pairs and commutativity in mental calculations Identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers Multiplication and division facts Recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables, including recognising odd and even numbers Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables Recall multiplication and division facts for multiplication tables up to 12 × 12 Know and use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers Establish whether a number up to 100 is prime and recall prime numbers up to 19 Recognise and use square numbers and cube numbers, and the notation for squared (2) and cubed (3) Identify common factors, common multiples and prime numbers Recall and use doubles of all numbers to 10 and corresponding halves Derive and use doubles of simple two-digit numbers (numbers in which the ones total less than 10) Derive and use halves of simple two-digit even numbers (numbers in which the tens are even) Derive and use doubles of all numbers to 100 and corresponding halves Derive and use doubles of all multiples of 50 to 500 Use partitioning to double or halve any number, including decimals to one decimal place Use partitioning to double or halve any number, including decimals to two decimal places Use partitioning to double or halve any number Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Number - multiplication and division
manageable standard units (m and cm) within children’s range of counting competence any direction (m/cm) to the nearest appropriate unit using rulers three decimal places Compare and describe lengths and heights (for example, long/short, longer/shorter, tall/short, double/half) Compare and order lengths and record the results using >, < and = Compare lengths (m/cm/mm) Compare lengths Understand and use approximate equivalences between metric and common imperial units such as inches Perimeter Understand that perimeter is a measure of distance around the boundary of a shape Measure the perimeter of simple 2-D shapes Measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres Measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres Recognise that shapes with the same areas can have different perimeters and vice versa Area Understand that area is a measure of surface within a given boundary Find the area of rectilinear shapes by counting squares Calculate and compare the area of rectangles (including squares), and including using standard units, square centimetres (cm2) and square metres (m2) and estimate the area of irregular shapes Calculate the area of parallelograms and triangles Recognise when it is possible to use the formulae for area and volume of shapes Mass Measure and begin to record mass/weight, using non-standard and then standard units (kg and g) within children’s range of counting competence Choose and use appropriate standard units to estimate and measure mass (kg/g) to the nearest appropriate unit using scales Measure, add and subtract mass (kg/g) Estimate and calculate mass Use, read and write standard units of mass to a suitable degree of accuracy Use, read and write standard units of mass using decimal notation to three decimal places Compare and describe mass/weight (for example, heavy/light, heavier than, lighter than) Compare and order mass and record the results using >, < and = Compare mass (kg/g) Compare mass Understand and use approximate equivalences between metric and common imperial units such as pounds Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Measurement (capacity, volume, temperature and conversion) Capacity / Measure and begin to Choose and use appropriate Measure, add and subtract Estimate and calculate Estimate (and calculate) Use, read and write
volume record capacity and volume using non-standard and then standard units (litres and ml) within children’s range of counting competence standard units to estimate and measure capacity and volume (litres/ml) to the nearest appropriate unit using measuring vessels volume/capacity (l/ml) volume/capacity volume (for example, using 1 cm3 blocks to build cuboids (including cubes)) and capacity (for example, using water) Understand the difference between liquid volume, including capacity and solid volume standard units of volume using decimal notation to three decimal places Calculate and estimate 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) Compare and describe capacity and volume (for example, full/empty, more than, less than, half, half full, quarter) Compare and order volume/capacity and record the results using >, < and = Compare volume/capacity (l/ml) Compare volume/capacity Understand and use approximate equivalences between metric and common imperial units such as pints 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) Temperature Choose and use appropriate standard units to estimate and measure temperature to the nearest degree (°C) using thermometers Continue to estimate and measure temperature to the nearest degree (°C) using thermometers Order temperatures including those below 0°C Continue to order temperatures including those below 0°C Calculate differences in temperature, including those that involve a positive and negative temperature Conversion Convert between different units of measure (e.g. kilometre to metre; hour to minute) Convert between different units of metric measure (for example, kilometre and metre; centimetre and metre; centimetre and millimetre; gram and kilogram; litre and millilitre) 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 three decimal places Convert between miles and kilometres Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Measurement (time) Time Recognise and use language relating to dates, including days of the week, weeks,
months and years Compare and describe time (for example, quicker, slower, earlier, later) Sequence events in chronological order using language (for example, before and after, next, first, today, yesterday, tomorrow, morning, afternoon and evening Compare and sequence intervals of time Record and compare time in terms of seconds, minutes and hours; use vocabulary such as o’clock, a.m./p.m., morning, afternoon, noon and midnight Convert between different units of time, e.g. hour to minute Convert between units of time in a problem solving context Measure and begin to record time (hours, minutes, seconds) Know the number of minutes in an hour and the number of hours in a day Know the number of seconds in a minute, and the number of days in each month, year and leap year Tell the time to the hour and half past the hour and draw the hands on a clock face to show these times 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 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 Read, write and convert time between analogue and digital 12 and 24-hour clocks Continue to read, write and convert time between analogue and digital 12 and 24-hour clocks Use, read and write standard units of time Compare durations of events (for example to calculate the time taken by particular events or tasks) Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Measurement (money and solving problems) Money Recognise and know the value of different denominations of coins and notes Recognise and use symbols for pounds (£) and pence (p) Continue to recognise and use symbols for pounds (£) and pence (p) and understand that the decimal point separates pounds and pence Write amounts of money using decimal notation Combine amounts to make a particular value Find different combinations Recognise that ten 10p coins are equivalent to £1 and that each coin is of £1 Recognise that one hundred 1p coins are equivalent to £1 and that each coin is of £1
of coins that equal the same amounts of money Add and subtract money of the same unit, including giving change Add and subtract amounts of money to give change, using both £ and p in practical contexts Estimate, compare and calculate money in pounds and pence Solving problems involving money and measures Solve practical problems for: - lengths and heights - mass/weight - capacity and volume - time Solve simple problems in a practical context involving addition and subtraction of money and measures (including time) Solve problems involving money and measures and simple problems involving passage of time Solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days and problems involving money and measures Use all four operations to solve problems involving measure (for example, length, mass, volume, money) using decimal notation including scaling Solve problems involving converting between units of time Solve problems involving the calculation and conversion of units of measure (including money and time), using decimal notation up to three decimal places where appropriate Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Geometry - properties of shapes Properties of shape Recognise and name common 2-D shapes, including rectangles (including squares), circles and triangles Identify and describe the properties of 2-D shapes, including the number of sides and line symmetry in a vertical line Identify 2-D shapes on the surface of 3-D shapes, (for example, a circle on a cylinder and a triangle on a pyramid) Draw 2-D shapes and describe them Compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes Identify lines of symmetry in 2-D shapes presented in different orientations Complete a simple symmetric figure with respect to a specific line of symmetry Distinguish between regular and irregular polygons based on reasoning about equal sides and angles Compare and classify geometric shapes based on their properties and sizes Draw 2-D shapes using given dimensions and angles Identify horizontal and vertical lines and pairs of perpendicular and parallel lines Continue to identify horizontal and vertical lines and pairs of perpendicular and parallel lines Use the properties of rectangles to deduce related facts and find missing lengths and angles Illustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radius
Describe movements between positions as translations of a given unit to the left/right and up/down 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 Draw and translate simple shapes on the coordinate plane, and reflect them in the axes Year 1 Year 2 Year 3 Year 4 Year 5 Year 6 Statistics Sorting and classifying Sort objects, numbers and shapes to a given criterion and their own Compare and sort objects, numbers and common 2-D and 3-D shapes and everyday objects Use sorting diagrams to compare and sort objects, numbers and common 2-D and 3-D shapes and everyday objects Use a variety of sorting diagrams to compare and classify numbers and geometric shapes, including quadrilaterals and triangles, based on their properties and sizes Complete and interpret information in a variety of sorting diagrams (including those used to sort properties of numbers and shapes) Continue to complete and interpret information in a variety of sorting diagrams (including those used to sort properties of numbers and shapes) Present and interpret data Present and interpret data in block diagrams using practical equipment Interpret and construct simple pictograms, tally charts, block diagrams and simple tables Interpret and present data using bar charts, pictograms and tables Interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs Complete, read and interpret information in tables, including timetables Interpret and construct pie charts and line graphs and use these to solve problems Solve problems using data Ask and answer simple questions by counting the number of objects in each category Ask and answer questions by comparing categorical data Ask and answer simple questions by counting the number of objects in each category and sorting the categories by quantity Ask and answer questions about totalling and comparing categorical data Solve one-step and two-step questions (for example, ‘How many more?’ and ‘How many fewer?’) using information presented in scaled bar charts and pictograms and tables Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs Solve comparison, sum and difference problems using information presented in all types of graph including a line graph Solve comparison, sum and difference problems using information presented in all types of graph Averages Calculate and interpret the mode, median and range Calculate and interpret the mean as an average