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Record of evidence against key performance indicators

For efficiency and consistency during moderation sessions, a decision was made by the Solihull Schools’ Strategic Accountability Board in 2014 that schools would bring assessments against key performance indicators (KPI) as determined by the NAHT.

Over the years, moderation sessions have evolved so that schools can bring different types of evidence depending upon their own assessment systems in school.

For those schools which chose to moderate KPI, these forms have been designed to help teachers capture evidence against KPI constructs in mathematics.

How to use

Sample number – reference the piece of photocopied work or piece of work in a book. These are usually numbered or highlighted with ‘bookmark’ post-its.

Anecdotal evidence/ observations – not all evidence will be in a pupil’s work. This column provides teachers with the opportunity to capture observations or anecdotal evidence. Teachers must be mindful to not reiterate the construct e.g. Sam can count in multiples of two. This is a statement and not evidence. The teacher would need to report what they saw or heard Sam say to come to the conclusion that he could count in multiples of 2. For example, “when counting the pile of cubes on the table, Sam lined them up in pairs and independently counted in multiples of two to work out the total.”

Teacher/ moderator – In these columns, the teacher initially makes a judgement as to how well the pupil has achieved the construct. The moderators then have the opportunity to say whether they agree or have a different opinion based on the evidence shared.

IE – there is not enough evidence available to assess whether the pupil has achieved this construct.

WTS – the pupil has been taught this construct and shows signs of some understanding. However, they need support and prompting to achieve this construct particularly between lessons.

EXS – the pupil, on the whole, can independently achieve this construct and needs little prompting in subsequent lessons.

GDS – the pupil confidently and independently achieves this construct. They independently choose to use this piece of mathematics in situations outside of the taught lesson. They can use this piece of mathematics flexibly and can explain their strategies.

Some constructs are made up of several objectives. In these situations, teachers may need to assess ‘IE’ if all objectives have not been met or they may choose to assess each separate piece of mathematics.

Year 1 Key Performance Indicators - Mathematics

Record of Additional Evidence for Moderation

Performance Indicator Sample number (if applicable)

Anecdotal evidence/ observations Teacher Moderators

Count to and across 100 beginning with 0 or one, or from any given number

Count backwards from 100 to any given number

Count, read and write numbers to 100 in numerals

Count in multiples of twos, fives and tens

Given a number, identify one more or one less

Represent and use number bonds and related subtraction facts within 20

Add and subtract one-digit numbers to 20, including zero

Add and subtract two-digit numbers to 20, including zero

Solve one-step problems involving multiplication, by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacherSolve one-step problems involving division, by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacher

Recognise, find and name a half as one of two equal parts of a quantity

Recognise, find and name a half as one of two equal parts of an object or shape

Recognise, find and name one quarter as one of four equal parts of a quantity

Recognise, find and name one quarter as one of four equal parts of an object or shape

Compare, describe and solve practical problems for length and height

Compare, describe and solve practical problems for mass and weight

Compare, describe and solve practical problems for capacity and volume

Compare, describe and solve practical problems for time

Tell the time to the hour and draws the hands on a clock face to show these times

Tell the time to half past the hour and draws the hands on a clock face to show these timesRecognise and name common 2D shapes e.g. rectangles (including squares), circles and trianglesRecognise and name common 3D shapes e.g. cuboids (including cubes), pyramids and spheres

Year 2 Key Performance Indicators - Mathematics

Record of Additional Evidence for Moderation

Performance IndicatorSample number (if applicable) Anecdotal evidence/ observations Teacher Moderatos

Count in steps of two, three and five from 0 and in tens from any number, forward and backward

Recognise the place value of each digit in a two-digit number (tens, ones)

Compare and order numbers from 0 up to 100

Use < > and = signs correctly

Use place value and number facts to solve problems

Solve problems with addition and subtraction using concrete objects and pictorial representations, including those involving numbers, quantities and measuresSolve problems with addition and subtraction applying their increasing knowledge of mental and written methodsAdd and subtract numbers using concrete objects, pictorial representations, and mentally, including a two-digit number and onesAdd and subtract numbers using concrete objects, pictorial representations, and mentally, including a two-digit number and tensAdd and subtract numbers using concrete objects, pictorial representations, and mentally, including twotwo-digit numbersAdd and subtract numbers using concrete objects, pictorial representations, and mentally, including adding three one-digit numbers

Recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables

Recognise odd and even numbers

Solve problems involving multiplication using materials, arrays, repeated addition, mental methods, and multiplication and division facts, including problems in contextsSolve problems involving division using materials, arrays, repeated addition, mental methods, and multiplication and division facts, including problems in contextsRecognise, find, name and write fractions, 1/4, 2/4, and 3/4 of a length, shape, set of objects or quantity

Recognise, find, name and write a 1/3 of a length, shape, set of objects or quantity

Solve simple problems in a practical context involving addition and subtraction of money of the same unit including giving change

Compare and sort common 2D shapes and everyday objects

Compare and sort common 3D shapes and everyday objects

Use mathematical vocabulary to describe position, direction and movement, including movement in a straight lineDistinguish between rotation as a turn and in terms of right angles for quarter, half and three-quarter turns (clockwise and anti-clockwise)

Ask and answer questions about totalling and comparing categorical data

Year 3 Key Performance Indicators - Mathematics

Record of Additional Evidence for Moderation

Performance IndicatorSample number (if applicable) Anecdotal evidence/ observations Teacher Moderators

Count from 0 in multiples of 4, 8, 50 and 100;

Find 10 or 100 more or less than a given number

Recognise the place value of each digit in a three-digit number (hundreds, tens, ones)Solve number problems and practical problems involving these ideas.Add and subtract numbers mentally - a three-digit number and onesAdd and subtract numbers mentally - a three-digit number and tensAdd and subtract numbers mentally - a three-digit number and hundredsAdd and subtract numbers with up to three digits, using formal written methods of columnar addition and subtractionRecalls and uses multiplication and division facts for the 3 x tableRecalls and uses multiplication and division facts for the 4 x tableRecalls and uses multiplication and division facts for the 8 x tableWrites and calculates mathematical statements for multiplication and division using the x tables that are known including for 2 digit numbers x 1 digit numbers, using mental and progressing to formal written methods.

Counts up and down in tenths;

Recognises that tenths arise

from dividing an object into ten equal parts and in dividing 1 digit numbers or quantities by ten.

Recognises, finds and writes fractions of a discrete set of objects; unit fractions

Recognises, finds and writes fractions of a discrete set of objects; non unit fractions with small denominatorsRecognises and shows, using diagrams, equivalent fractions with small denominations.

Measures, compares , adds and subtracts lengths

Measures, compares , adds and subtracts mass

Measures, compares , adds and subtracts volume and capacity

Adds and subtracts amounts of money to give change, using both £ and p in practical contexts

Tells and writes the time from an analogue clock and 12 hour and 24 hour clocks

Identifies right angles, recognises that 2 right angles make a half turn, 3 make a three quarter turn and 4 a complete turn;Identify whether angles are greater than or less than a right angle.

Interprets and presents data using bar charts, pictograms and tables.

Year 4 Key Performance Indicators - Mathematics

Record of Additional Evidence for Moderation

Performance IndicatorSample number (if applicable) Anecdotal evidence/ observations Teacher Moderators

Counts in multiples of 6, 7, 9, 25 and 1,000

Counts backwards through zero to include negative numbersRecognise the place value of each digit in a four-digit number (thousands, hundreds, tens, ones)

Orders and compares numbers beyond 1,000

Rounds any number to the nearest 10, 100 or 1,000

Solves addition and subtraction two-step problems in context, deciding which operations to use and whyAdd numbers with up to 4 digits using the formal written methods of columnar addition where appropriateSubtract numbers with up to 4 digits using the formal written methods of columnar subtraction where appropriateRecalls multiplication and division facts multiplication tables 12 x 12Use place value, known and derived facts to multiply and divide mentally, including multiplying by 0 and 1; dividing by 1; multiplying together with 3 numbersMultiply two-digit and three-digit numbers by a one-digit number, using formal written layoutDivide two-digit and three-digit numbers by a one-digit number, using formal written layoutRecognises and shows, using diagrams, families of common equivalent fractions

Counts up and down in hundredthsRecognise that hundredths arise when dividing an object by 100 and dividing tenths by 10Recognises and write decimal equivalents of any numbers of tenths or hundredthsRecognise and write decimal equivalents to 1/4, 1/2 and 3/4Find the effect of dividing a one or two-digit number by 10 and 100, identifying the value of the digits in the answer as ones, tenths and hundredthsRounds decimals with one decimal place to the nearest whole numberSolves simple measure and money problems involving fractions and decimals to two decimal placesConverts between different units of measure e.g. kilometre to metre, hour to minuteRead, write and convert time between analogue and digital 12 and 24 hour clocksCompare and classifies geometric shapes, including quadrilaterals and triangles, based on their properties and sizesIdentify lines of symmetry in 2 dimensional shapes presented in different orientationsPlot specified points and draws sides to complete a given polygonSolves comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs

Year 5 Key Performance Indicators - Mathematics

Record of Additional Evidence for Moderation

Performance IndicatorSample number (if applicable) Anecdotal evidence/ observations Teacher Moderators

Read, write, order and compare numbers to at least 1,000,000 and determine the value of each digit

Interpret negative numbers in context

Count forwards and backwards with positive and negative whole numbers, including through zeroRound any number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000 and 100,000Add whole numbers with more than 4 digits, including using formal written methods (columnar addition)Subtract whole numbers with more than 4 digits, including using formal written methods (columnar subtraction)

Add and subtract numbers mentally with increasingly large numbers

Identify multiples and fractions, including finding all factors pairs of a number, and common factors of two numbersMultiply numbers up to 4 digits by a one or two-digit number using a formal written method, including long multiplication for two-digit numbersDivide numbers up to 4 digits by a one-digit number using a formal written method of short division and interpret remainders appropriately for the contextMultiply and divide whole numbers and those involving decimals by 10, 100 and 1,000Solve problems involving multiplication and division including using their knowledge of factors and multiples, squares and cubesSolve problems involving multiplication and division including scaling by simple fractions and problems involving simple ratesCompare and order fractions where denominators are all multiples of the same number

Add and subtract fractions with the same denominator and denominators that are multiples of the same numberMultiply proper fractions and mixed number by whole numbers, supported by materials and diagrams

Read and write decimal numbers as fractions (e.g. 0.71 = 71/100)

Round decimals with two decimal places to the nearest whole number and to one decimal place

Read, write, order and compare numbers with up to 3 decimal places

Recognise the % symbol and understand that per cent relates to ‘no of parts per 100’ and write percentages as a fraction with denominator 100 and as a decimalSolves problems 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 25Convert between different units of metric measures (for example, kilometre and metre; centimetre and metre; centimetre and millimetre; gram and kilogram; litre and millilitre)Measure and calculate the perimeter of composite rectilinear shapes in centimetres and metresCalculate 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 shapesUse all four operations to solve problems involving measure (for example length, mass, volume, money) using decimal notation, including scaling

Draw given angles, and measure them in degrees (o)

Distinguish between regular and irregular polygons based on reasoning about equal sides and anglesComplete, read and interpret information in tables, including timetables

Year 6 Key Performance Indicators - Mathematics

Record of Additional Evidence for Moderation

Performance IndicatorSample number (if applicable) Anecdotal evidence/ observations Teacher Moderators

Round any whole number to a required degree of accuracyUse negative numbers in context, and calculate intervals across zeroMultiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplicationDivide numbers up to 4 digits by a two-digit whole number using the formal written method of long division, and interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the contextSolve addition and subtraction multi-step problems in context, deciding which operations and methods to use and whyUse estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracyAdd and subtract fractions with different denominations and mixed numbers, using the concept of equivalent fractionsMultiply simple pairs of proper fractions, writing the answer in its simplest form, e.g. 1/4 x 1/2 = 1/8Divide proper fractions by whole numbers e.g. 1/3 divided by 2 = 1/6Use written division methods in cases where the answer has up to two decimal placesSolve problems which require answers to be rounded to specified degrees of accuracyRecall and use equivalences between simple fractions, decimals and percentages,

including in different contextsSolve problems involving the relevant sizes of two quantities where missing values can be found by using integer multiplication and division factsSolve problems involving the calculation of percentages (for example, of measures, and such as 15% of 360) for the use of percentages for comparisonSolve problems involving unequal sharing and grouping using knowledge of fractions and multiples

Use simple formulae

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 up to three decimal placesCalculate, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres (cm3) and metres (m3), and extending to other units (for example mm3 and km3)Compare and classify geometric shapes based on their properties and sizes and find unknown angles in any triangles, quadrilaterals and regular polygonsIllustrate and name parts of circles, including radius, diameter and circumference and know that the diameter is twice the radiusDraw and translate simple shapes on the coordinate plane and reflect them in the axesInterpret and construct pie charts and line graphs and use these to solve problems

Calculate and interpret the mean as an average