2014 New Curriculum Maths Performance Indicators Year 1

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1 2014 New Curriculum Maths Performance Indicators Year 1 29 Performance Indicators, of which 12 are KPIs (in bold) YEAR 1 NUMBER PLACE VALUE - Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given - Count, read and write s to 100 in numerals - Count in multiples of twos, fives and tens - Identify one more and one less of a given - Recognise odd and even s -Calculate doubles of s up to 10 by using and counting objects -Calculate half of even s up to 20 by sharing or grouping objets - Identify and represent s using objects and pictorial the line - Use the language of: equal to, more than, less than (fewer), most, least - Read and write s from 1 to 20 in numerals and ADDITION - Read, write and interpret mathematical statements involving addition (+), subtraction (-) and equals (=) signs - Represent and use bonds and related subtraction facts within 20 - Add and subtract onedigit and two-digit s to 20, zero - Solve one-step that involve addition and subtraction, using concrete objects and pictorial, and missing such as 7 = - 9 DIVISION - Solve one-step involving division, by calculating the answer using concrete objects, pictorial and arrays with the support of the teacher FRACTIONS MEASUREMENT GEOMETRY - Recognise, find and name a half as one of two equal parts of an object, shape or quantity - Recognise, find and name a quarter as one of four equal parts of an object, shape or quantity - Compare, describe and solve practical for: lengths and heights (e.g. long /short, longer/shorter, tall/short, double/half) mass or weight (e.g. heavy/light, heavier than, lighter than) - Compare, describe and solve practical for: capacity/volume (full/empty, more than, less than, quarter) time (quicker, slower, earlier, later) - Measure and begin to record the following: lengths and heights mass/weight capacity and volume time (hours, minutes, seconds) temperature - Recognise and know the value of different denominations of coins and notes - Sequence events in chronological order using language such as: before and after, next, first, today, yesterday, tomorrow, morning, afternoon and evening - Recognise and use language relating to dates, days of the week and months of the year in order - Tell the time to the hour and half past the hour and draw the hands on a clock face to show these times -Know the date - Recognise and name common 2D rectangles ( squares), circles and triangles) - Recognise and name common 3D shapes (e.g. cuboids ( cubes), pyramids and spheres) position & direction using language such as left, right, inside, outside, forwards & backwards, and describe movements, half, quarter and three-quarter turns -Order & arrange objects and shapes in patterns

2 2014 New Curriculum Maths Performance Indicators Year 2 36 Performance Indicators, of which 16 are KPIs (in bold) YEAR 2 NUMBER PLACE VALUE - Count on in steps of 2, 3, and 5 from 0, and in tens from any - Recognise the place value of each digit in a two-digit order s from 0 up to 100: use <, > and = signs - Read and write s to at least 100 in numerals and in - Use place value and facts to solve. ADDITION with addition and subtraction: using concrete objects and pictorial, those involving s, quantities and measures applying their increasing knowledge of mental and written methods and deciding which method is best to use - Recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to Add and subtract three one-digit s - Add and subtract two two-digit s - Add and subtract a two-digit and ones and a two-digit and tens - Show that addition of two s can be done in any order (commutative) - Show that subtraction of one from another cannot be done in any order - Recognise and use the inverse relationship between addition and subtraction and division and use this to check calculations and missing. DIVISION - Recall and use division facts for the 2, 5 and 10 tables, recognising odd and even s - Calculate mathematical statements for division within the tables and write them using the (x), division ( ) and equals (=) signs - Show that of two s can be done in any order (commutative) - Show that changing the order of s in a division calculation makes the answer change involving division, using materials, arrays, repeated addition, mental methods, and and division facts, in contexts. FRACTIONS MEASUREMENT GEOMETRY - Recognise, find, name and write fractions 1/3, 1/4, 2/4 and 3/4 of a length, shape, set of objects or quantity - Write fractions e.g. 1/2 of 6 = 3 and recognise the equivalence of 2/4 and 1/2. - Choose and use standard units to estimate and measure length/height in any direction (m/cm); mass (kg/g); temperature ( C); capacity (litres/ml) to the nearest unit, using rulers, scales, thermometers and measuring vessels order lengths, mass, volume/capacity and record the results using >, < and = - Recognise and use symbols for pounds ( ) and pence (p); combine amounts to make a particular value - Find different combinations of coins that equal the same amounts of money - Solve in a practical context involving addition and subtraction of money of the same unit, giving change sequence intervals of time - Tell and write the time to five minutes, quarter past/to the hour and draw the hands on a clock face to show these times. -Identify and describe the properties of 2- D shapes, the of sides - Identify vertical lines of symmetry in common 2D shapes - Identify and describe the properties of common 3-D shapes, the of edges, vertices and faces - Identify 2-D shapes on the surface of 3-D shapes sort common 2-D and 3-D shapes and everyday objects. - Use mathematical vocabulary to describe position, direction and movement distinguishing between rotation as a turn and in terms of right angles for quarter, half and three- quarter turns (clockwise and anticlockwise), and movement in a straight line. - Interpret and construct pictograms, tally charts, block diagrams and tables - Ask and answer questions by counting the of objects in each category and sorting the categories by quantity - Ask and answer questions about totalling and comparing data.

3 2014 New Curriculum Maths Performance Indicators Year 3 40 Performance Indicators, of which 17 are KPIs (in bold) YEAR 3 NUMBER PLACE VALUE - Count from 0 in multiples of 4, 8, 50 and Find 10 or 100 more or less than a given - Calculate half and double of any up to Recognise the place value of each digit in a three-digit -Compare and order s up to Identify, represent and estimate s using different - Read and write s up to 1000 in numerals and in ADDITION - Add and subtract s mentally, : a three-digit and ones a three-digit and tens a three-digit and hundreds -Add and subtract s with up to three digits, using formal written column methods - Estimate the answer to a calculation and use inverse operations to check answers, missing, using facts, place value, and more complex addition and subtraction. DIVISION - Recall and use division facts for the 3, 4 and 8 x tables - Write and calculate mathematical statements for division using the tables that they know, for two-digit s times onedigit s, using mental and progressing to formal written methods, missing, involving and division, integer scaling and correspondence in which n objects are connected to m objects. FRACTIONS MEASUREMENT GEOMETRY - Count up and down in tenths - Recognise that tenths arise from dividing an object into 10 equal parts - Recognise that tenths arise from dividing onedigit s or quantities by 10 - Recognise, find and write fractions of a discrete set of objects: unit fractions and nonunit fractions with small denominators & put these in order - Recognise and use fractions as s: unit fractions and nonunit fractions with small denominators, using language of numerator & denominator - Recognise and show, using diagrams, equivalent fractions with small denominators - Add and subtract fractions with the same denominator within one whole order unit fractions, and fractions with the same denominators - Solve fractions - Measure, compare, add and subtract: lengths (m/cm/mm) mass (kg/g) volume/capacity (l/ml) - Use names & abbreviations for units of measure - Measure the perimeter of 2D shapes - Add and subtract amounts of money to give change, using both and p in practical contexts - Estimate and read time with increasing accuracy to the nearest minute - Record and compare time in terms of seconds, minutes, hours and o clock; - Use vocabulary such as a.m./p.m., morning, afternoon, noon and midnight - Know the of seconds in a minute and the of days in each month, year and leap year - Compare durations of events, for example to calculate the time taken by particular events or tasks. - Draw 2D shapes and make 3D shapes using modelling materials - Recognise 3D shapes in different orientations and describe them - Recognise that angles are 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 and relate these to the compass positions - Identify whether angles are greater than or less than a right angle - Identify horizontal and vertical lines and pairs of perpendicular and parallel lines. - Interpret and present data using bar charts, pictograms and tables - Solve one-step and two-step questions such as How many more? and How many fewer? using information presented in scaled bar charts and pictograms and tables.

4 2014 New Curriculum Performance Indicators Year 4 44 Performance Indicators, of which 18 are KPIs (in bold) YEAR 4 NUMBER PLACE VALUE - Count in multiples of 6, 7, 9, 25 and Find 10, 100 or 1000 more or less than a given - Count backwards through zero to include negative s - Recognise the place value of each digit in a four-digit - Order and compare s beyond Identify, represent and estimate s using different - Round any to the nearest 10, 100 or Solve and practical that involve all of the above and with increasingly large positive s - 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. ADDITION - Add and subtract s with up to 4 digits using the formal column written methods where - Estimate & solve addition and subtraction two-step in contexts, deciding which operations and methods to use and why, using inverse operations to check answers. DIVISION - Recall and division facts for tables up to 12 x 12 - Use place value, known and derived facts to multiply and divide mentally, : multiplying by 0 and 1; dividing by 1; multiplying together three s; doubling and halving any - Recognise and use factor pairs and commutativity in mental calculations - Multiply two-digit and three-digit s by a onedigit using formal written layout involving multiplying and adding, using the distributive law to multiply two digit s by one digit, integer scaling and harder correspondence such as n objects are connected to m objects. FRACTIONS (INCLUDING DECIMALS) - Recognise and show, using diagrams, families of common equivalent fractions - Count up and down in hundredths - Recognise that hundredths arise when dividing an object by a hundred and dividing tenths by ten involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, non-unit fractions where the answer is a whole - Add and subtract fractions with the same denominator - Recognise and write decimal equivalents of any of tenths or hundredths - Recognise and write decimal equivalents to 1/4; 1/2; 3/4 - Find the effect of dividing a one- or two-digit by 10 and 100, identifying the value of the digits in the answer as units, tenths and hundredths - Round decimals with one decimal place to the nearest whole - Compare s with the same of decimal places up to two decimal places - Solve measure and money involving fractions and decimals to two decimal places. MEASUREMENT GEOMETRY PROPERTIES OF - Convert between different units of measure (e.g. kilometre to metre; hour to minute) -Measure and calculate the perimeter of a rectilinear figure ( squares) in centimetres and metres - Estimate, calculate and compare the area of rectilinear shapes by counting squares - Estimate, compare and calculate different measures, money in pounds and pence - Read, write and convert time between analogue and digital 12 and 24-hour clocks - Tell and write the time from an analogue clock, using Roman numerals from I to XII, and 12-hour and 24- hour clocks involving converting from hours to minutes; minutes to seconds; years to months; weeks to days. classify geometric shapes, quadrilaterals and triangles, based on their properties and sizes - Identify acute and obtuse angles and compare and order angles up to two right angles by size - Identify lines of symmetry in 2-D shapes presented in different orientations - Complete a symmetric diagrams for specific lines of symmetry. positions on a 2-D grid as coordinates in the first quadrant 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. -Know what angle of turn is associated with movement between any of the 8 compass points - Interpret and present discrete and continuous data using graphical methods, bar charts and time graphs - Solve comparison, sum and difference using information presented in bar charts, pictograms, tables and other graphs.

5 2014 New Curriculum Performance Indicators Year 5 44 Performance Indicators, of which 21 are KPIs (in bold) YEAR 5 NUMBER PLACE VALUE - Read, write, order & compare s to at least & determine the value of each digit - Count forwards or backwards in steps of powers of 10 for any given up to Interpret negative s in context, count forwards and backwards with positive and negative whole s through zero - Round any up to to the nearest 10, 100, 1000, and Estimate & solve & practical that involve s up to using knowledge of factors, multiples, squares, cubes and positive & negative integers, using units of measurement - Read Roman numerals to 1000 (M) and recognise years written in Roman numerals ADDITION - Add and subtract whole s with more than 4 digits, using formal written methods (columnar addition and subtraction) - Add and subtract s mentally with increasingly large s - Use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy DIVISION - Identify multiples and factors, finding all factor pairs of a, and common factors of two s. - Know and use the vocabulary of prime s, prime factors and composite (non-prime) s - Establish whether a up to 100 is prime and recall prime s up to 19 - Multiply s up to 4 digits by a one- or two-digit using a formal written method, long for two-digit s - Multiply and divide whole s and decimals mentally drawing upon known facts, multiplying & dividing by 10, 100 & Divide s up to 4 digits by a one-digit using the formal written method of short division and interpret remainders ly for the context - Recognise and use square s and cube s, and the notation for squared ( 2 ) and cubed ( 3 ) - Solve single & multi step, involving measures, using all 4 operations and a combination of these, understanding the meaning of the equals sign - Decide & explain methods of calculation when solving single & multi step involving division, decomposing larger s into factors, and scaling by fractions and involving rates. FRACTIONS (INCLUDING DECIMALS PERCENTAGES) order fractions whose denominators are all multiples of the same - Identify, name and write equivalent fractions of a given fraction, represented visually, tenths and hundredths - Recognise mixed s and improper fractions and convert from one form to the other - Add and subtract fractions with the same denominator and related fractions writing mathematical statements that exceed 1 as a mixed (e.g. 2/5 + 4/5 = 6/5 = 11/5) - Multiply proper fractions and mixed s by whole s, supported by materials and diagrams - Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents - Round decimals with two decimal places to the nearest whole and to one decimal place - Read, write, order and compare s with up to three decimal places involving up to three decimal places - Recognise the per cent symbol (%) and understand that per cent relates to parts of a whole or quantity - Write fractions as percentages and as a decimal fraction, and decimals as fractions (e.g = 71/100) which require knowing percentage and decimal equivalents of 1/2, 1/4, 1/5, 2/5, 4/5 and those with a denominator of a multiple of 10 or 25. MEASUREMENT GEOMETRY - Understand and use equivalences between metric units and common imperial units such as inches, pounds and pints, and convert between different units of metric measure - Measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres - Calculate and compare the area of squares and rectangles using standard units, square centimetres (cm2) and square metres (m2) and estimate the area of irregular shapes - Estimate volume (e.g. using 1 cm3 blocks to build cubes and cuboids) and capacity (e.g. using water) involving converting between units of time - Identify 3-D shapes, cubes and other cuboids, from 2-D - Estimate, compare, measure & draw a given angle, using degrees, & say identify acute, obtuse, reflex, right angles & angles which are multiples of 90 - Calculate angles where there are 2 or more angles on a straight line, & where there are 2 or more angles in a whole turn - Use the properties of rectangles to deduce related facts and find missing lengths and angles - Distinguish between regular and irregular polygons based on reasoning about equal sides and angles. - Identify, describe and represent the position of a shape following a reflection or translation, using the language, and know that the shape has not changed. - Solve comparison, sum and difference using information presented in a line graph -Complete, read and interpret information in tables, timetables.

6 2014 New Curriculum Performance Indicators Year 6 49 Performance Indicators, of which 24 are KPIs (in bold) YEAR 6 NUMBER PLACE VALUE - Read, write, order and compare s up to and determine the value of each digit - Round any whole to a required degree of accuracy - Use negative s in context, adding and subtractin g them and calculating intervals across zero ADDITION,, DIVISION - Multiply multi-digit s up to 4 digits by a two-digit whole using the formal written method of long - Divide s up to 4 digits by a two-digit whole using the formal written method of long division, and interpret remainders as whole remainders, fractions, or by rounding, as for the context - Perform mental calculations, with mixed operations and large s. - Identify common factors, common multiples and prime s - Use their knowledge of the order of operations to carry out calculations involving the four operations - Solve addition and subtraction multi-step in contexts, deciding which operations and methods to use and why involving addition, subtraction, division - Use estimation to check answers to calculations and determine, in the context of a problem, levels of accuracy. FRACTIONS (INCLUDING DECIMALS PERCENTAGES) - Use common factors to simplify fractions; use common multiples to express fractions in the same denomination order fractions, those >1 - Add and subtract fractions with different denominators and mixed s, using the concept of equivalent fractions - Multiply pairs of proper fractions, writing the answer in its st form - Divide proper fractions by whole s - Associate a fraction with division and calculate decimal fraction equivalents for a fraction - Identify the value of each digit to three decimal places and multiply and divide s by 10, 100 and 1000 where the answers are up to three decimal places - Multiply one-digit s with up to two decimal places by whole s - Use written division methods in cases where the answer has up to two decimal places which require answers to be rounded to specified degrees of accuracy - Recall and use equivalences between fractions, decimals and percentages, in different contexts. RATIO PROPORTION involving the relative sizes of two quantities where missing values can be found by using integer and division facts involving the calculation of percentages (e.g. of measures) such as 15% of 360 and use percentages for comparison - Solve involving similar shapes where the scale factor is known or can be found involving unequal sharing and grouping using knowledge of fractions and multiples. - Recognise equivalent ratios & reduce a given ratio to its lowest terms ALGEBRA MEASUREMENT GEOMETRY PROPERTIES OF SHAPE - Express missing algebraically - Use formulae expressed in - Generate, describe & extend linear sequences - Find pairs of s that satisfy sentences involving two unknowns - Work out all possibilities of combinations of two variables. involving the calculation and conversion of units of measure, using decimal notation up to three decimal places where - 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 d.p. - Convert between miles and kilometres - Recognise that shapes with the same areas can have different perimeters and vice versa - Recognise when it is possible to use formulae for area and volume of shapes - Calculate the area of parallelograms and triangles - Calculate, estimate and compare volume of cubes and cuboids using standard units, cm 3 and m 3, and extending to other units such as mm 3 and km 3. - Draw 2-D shapes using given dimensions and angles - Recognise, describe and build 3-D shapes, making nets classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals, and regular polygons - Illustrate and name parts of circles, radius, diameter and circumference and know that the diameter is twice the radius - Recognise angles where they meet at a point, are on a straight line, or are vertically opposite, and find missing angles within the above, and in triangles and squares. positions on the full coordinate grid (all four quadrants) - Draw and translate shapes on the coordinate plane, and reflect them in the axes. - Interpret and construct pie charts and line graphs and use these to solve - Calculate and interpret the mean, median & mode as averages. -Solve different types of using averages.