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Age | Sharing and Calculating | Reading and Measuring |

Birth - 11 Months | ||

8 - 20 Months | Gets to know and enjoy daily routines, such as getting-up time, mealtimes, nappy time, and bedtime. | |

16 - 26 Months | Associates a sequence of actions with daily routines. Beginning to understand that things might happen ‘now’. | |

22 - 36 Months | Understands some talk about immediate past and future, e.g. ‘before’, ‘later’ or ‘soon’. Anticipates specific time-based events such as mealtimes or home time. Beginning to categorise objects according to properties such as shape or size. Begins to use the language of size | |

30 - 50 Months | ||

40 - 60 Months | Finds the total number of items in two groups by counting all of them. Says the number that is one more than a given number. Finds one more from a group of up to five objects, then ten objects. In practical activities and discussion, beginning to use the vocabulary involved in adding. Finds one less from a group of up to five objects, then ten objects. In practical activities and discussion, beginning to use the vocabulary involved in subtracting. | Orders two or three items by length or height. Orders two items by weight or capacity. Beginning to use everyday language related to money. |

Early Learning Goal | Children count reliably with numbers from one to 20, place them in order and say which number is one more or less than a given number. Using quantities and objects, they add and subtract two single-digit numbers and count on or back to find the answer. Children solve problems, including doubling. Children solve problems, including halving and sharing. Children solve problems, including halving. | Children use everyday language to talk about size, weight and capacity to compare quantities and objects and to solve problems. Children use everyday language to talk about money to compare quantities and objects and to solve problems. Uses everyday language related to time. Orders and sequences familiar events. Measures short periods of time in simple ways. Children use everyday language to talk about time to compare quantities and objects and to solve problems. |

Age 5-6 | Recognise, find and name a quarter as one of four equal parts of an object, shape or quantity. | Measure and begin to record the following: lengths and heights mass/weight capacity and volume time (hours, minutes, seconds) Compare, describe and solve practical problems for: lengths and heights (For example, long/short, longer/shorter, tall/short, double\half) mass weight (For example, heavy/light, heavier than, lighter than) capacity and volume (For example, full/empty, more than, less than, half, half full, quarter) time (For example, quicker, slower, earlier, later) Tell the time to the hour and half past the hour and draw the hands on the clock face to show these times Sequence events in chronological order using language (For example, before and after, next, first, today, yesterday, tomorrow, morning, afternoon and evening) Recognise and use language relating to dates, including days of the week, weeks, months and years Recognise and know the value of different denominations of coins and notes |

Age 6-7 | Write simple fractions for example, 1/2 of 6 = 3 and recognise the equivalence of 2/4 and ½ Recognise, find, name and write fractions 1/3, 1/4, 2/4 and 3/4 of a length, shape, set of objects or quantity. | Find different combinations of coins that equal the same amounts of money Recognise and use symbols for pounds (£) and pence (p); combine amounts to make a particular value Compare and sequence intervals of time Solve simple problems in a practical context involving addition and subtraction of money of the same unit, including giving change Compare and order lengths, mass, volume/capacity and record the results using <,> and = Know the number of minutes in an hour and the number of hours in a day Choose and use appropriate standard units to estimate and measure length/height in any direction (m/cm); mass (kg/g); temperature (oC); capacity (litres/ml) to the nearest appropriate unit, using rulers, scales, thermometers, and measuring vessels Tell and write the time to five minutes, including quarter past/to the hour and draw the hands on a clock to show these times |

Age 7-8 | 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. Recognise and show, using diagrams, equivalent fractions and non-unit fractions with small denominators. Add and subtract fractions with the same denominator within one whole (for example, 5/7 + 1/7 = 6/7 Compare and order unit fractions, and fractions with the same denominator. 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. | Know the number of seconds in a minute and the number of days in a each month, year and leap year Estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes and hours; use vocabulary such as o'clock, am/pm, morning, afternoon, noon and midnight Tell and write the time from an analogue clock, including using Roman numerals from I to XII, and 12 hour and 24 hour clocks Compare durations of events (For example to calculate the time taken by particular events or tasks) Add and subtract amounts of money to give change, using both £ and p in practical contexts Measure, compare, add and subtract lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml) |

Age 8-9 | Recognise and write decimal equivalence of any number of tenths or hundredths Recognise and show, using diagrams, families of common equivalent fractions Recognise and write decimal equivalents to 1/4, 1/2, ¾ Solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole number. Add and subtract fractions with the same denominator | Estimate, compare and calculate different measures, including money in pounds and pence. Convert between different measures (For example, kilometre to metre, hour to minute) Solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days Read, write and convert time between analogue and digital 12 and 24 hour clocks Solve simple measures and money problems involving fractions and decimals |

Age 9-10 | Recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements, 1 as a mixed number(for example 2/5 + 4/5 = 6/5 = 1 ⅕ Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths. Compare and order fractions whose denominators are all multiples of the same number Solve problems which require knowing percentage and decimal equivalents of 1/2, 1/4, 1/5, 2/5, 4/5 and those fractions with denominator of a multiple of 10 or 25 Multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams Read and write decimal numbers as fractions(for example, 0.71 = 71/100) Recognize the percent symbol (%) and understand that per cent relates to 'number of parts per hundred' and write percentages as a fraction with a denominator 100, and as a decimal Solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates Add and subtract fractions with the same denominator and denominators that are multiples of the same number Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents | Convert between different units of metric measure (For example, kilometre and metre; centimetre and metre; centimetre and millimetre; gram and kilogram; litre and millilitre) Use all four operations to solve problems involving measure (For example, length, mass, volume, money) using decimal notation including scaling Understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pints. Complete, read and interpret information in tables, including timetables Estimate volume (For example, using one centimetre cubed blocks to build cuboids (Including cubes)) and capacity (For example using water) Solve problems involving converting between units of time |

Age 10-11 | Multiply simple pairs of proper fractions, writing the answer in its simplest form (for example 1/4 x 1/2 = 1/8) Compare and order fractions, including fractions > 1 Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions Use common factors to simplify fractions, use common multiples to express fractions in the same denomination Divide proper fractions by whole numbers(for example 1/3 divided by 2 = 1/6) Associate a fraction with division and calculate decimal fraction equivalents (for example, 0.375) for a simple fraction(for example ⅜ Solve problems involving calculation of percentages( for example, of measures, and such as 155 of 360) and the use of percentages for comparison Recall and use equivalence between simple fractions, decimals and percentages including in different contexts | Calculate, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres and cubic metres, and extending to other units (For example, millimetres cubed and kilometres cubed) Use, read, write and 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 up to three decimal places Missing numbers, lengths, coordinates and angles Describe positions on the full coordinate grid (All four quadrants) Draw and translate simple shapes on the coordinate plane, and reflect them in the axes Solve problems involving the calculation and conversion of units of measure, using decimal notation up to three decimal places where appropriate Convert between miles and kilometres |

Order positive and negative integers, decimals and fractions; use the number line as a model for ordering of the real numbers; use the symbols =, ≠, <, >, ≤, ≥ Use the four operations, including formal written methods, applied to integers, decimals, proper and improper fractions, and mixed numbers, all both positive and negative Define percentage as ‘number of parts per hundred’, interpret percentages and percentage changes as a fraction or a decimal, interpret these multiplicatively, express one quantity as a percentage of another, compare two quantities using percentages, and work with percentages greater than 100% Interpret fractions and percentages as operators Use a calculator and other technologies to calculate results accurately and then interpret them appropriately Express one quantity as a fraction of another, where the fraction is less than 1 and greater than 1 Use ratio notation, including reduction to simplest form Divide a given quantity into two parts in a given part:part or part:whole ratio; express the division of a quantity into two parts as a ratio Understand that a multiplicative relationship between two quantities can be expressed as a ratio or a fraction Relate the language of ratios and the associated calculations to the arithmetic of fractions and to linear functions Solve problems involving percentage change, including: percentage increase, decrease and original value problems and simple interest in financial mathematics | Use standard units of mass, length, time, money and other measures, including with decimal quantities Work with coordinates in all four quadrants Reduce a given linear equation in two variables to the standard form y = mx + c; calculate and interpret gradients and intercepts of graphs of such linear equations numerically, graphically and algebraically Use linear and quadratic graphs to estimate values of y for given values of x and vice versa and to find approximate solutions of simultaneous linear equations Find approximate solutions to contextual problems from given graphs of a variety of functions, including piece-wise linear, exponential and reciprocal graphs Change freely between related standard units [for example time, length, area, volume/capacity, mass] Use scale factors, scale diagrams and maps Use compound units such as speed, unit pricing and density to solve problems. |