Darrick Wood Infant School - Mathematics Assessment Date/task Level P4 Mathematics Level Descriptors Using and Applying Mathematics Level Descriptors Space shape and measure Pupils are aware of cause and effects in familiar mathematical activities, e.g. knowing that in a role-play shop a coin can be exchanged for an item. Pupils search for objects that have gone out of sight, hearing or touch, demonstrating the beginning of object permanence. Pupils show awareness of changes in shape, position or quantity, e.g. grouping objects that have similar key features such as shape or recalling an object which has been placed out of sight. Pupils match big objects and small objects. Name: Mathematics Level Descriptors Number Pupils show an awareness of number activities and counting, e.g. copying some actions during number rhymes. They demonstrate interest in position and the relationship between objects. They anticipate, follow and join in familiar activities when given a contextual clue, e.g. anticipating the next chorus or action in songs and rhymes; matching cakes to plates. Pupils sort or match objects or pictures by recognising similarities, e.g. matching shoes or socks by placing next to one placed by an adult; find matching pairs from a collection of pictures; collecting objects given one criterion e.g. blue or big. P5 They make sets that have the same small number of objects in each, e.g. distributing sweets into containers so that there are one or two in each. They solve simple problems practically, e.g. selecting appropriate containers for items of different sizes; checking there is a knife for every fork. Pupils sort objects and materials according to a given criteria, e.g sorting footballs into a net and table tennis balls into a box. They copy simple patterns or sequences, e.g. copying a drumbeat; copying a simple pattern of repeated movements; copying a pattern of large and small cups. P6 Pupils search intentionally for objects in their usual place Pupils respond to and join in with familiar number rhymes, stories, songs and games. They find big and small objects on request, e.g. from a choice of two objects. Pupils can indicate 1 or 2. They compare the overall size of one object with that of another where there is a marked difference, e.g. compare objects – big boxes and small boxes. They demonstrate that they are aware of contrasting quantities, e.g. ‘one’ and ‘lots’ by making groups of one or lots of food items on plates. They explore the position of objects, e.g. placing objects inside and outside a hoop. Pupils search for objects not found in their usual place demonstrating their understanding of object permanence, e.g. looking for cups when they are not in their usual cupboard. They compare the overall size of one object with that of another where the difference is not great. They manipulate three-dimensional shapes, e.g. putting shapes into a shape sorter. They show understanding of words, signs and symbols that describe positions, e.g. responding to a request to put an object in, on, under, inside another object. Pupils demonstrate an understanding of one-to-one correspondence in a range of contexts, e.g. matching objects such as cups to saucers. Pupils join in rote counting up to five, e.g. saying or signing number names to 5 in counting activities. They count reliably to three, make sets of up to three objects and use numbers to three in familiar activities and games. They demonstrate an understanding the concept of “more”, e.g. indicating that more cups, counters, food items are required. They join in with new number rhymes, songs, stories and games. Comments Darrick Wood Infant School - Mathematics Assessment Date/task Level Mathematics Level Descriptors Using and Applying Pupils complete a range of classification activities using a given criterion, e.g. sorting a pile of coins by size; sorting all the blue Wellington boots. P7 They identify when an object is different and does not belong to a given familiar category, e.g. removing odd items from sets. They respond appropriately to key vocabulary and questions, for example, ‘How many?’ Pupils talk about, recognise and copy simple repeating patterns and sequences, e.g. recognising and describing a pattern of socks on a line; joining in a pattern of hand claps. P8 Mathematics Level Descriptors Space shape and measure Pupils respond to ‘forwards’ and ‘backwards’, e.g. moving a counter forward or backward on a board game. They pick out described shapes from a collection, e.g. finding shapes with straight edges. They use familiar words in practical situations when they compare sizes and quantities, e.g. using the words ‘heavy’ and ‘light’, ’more’ and ‘ less’, ’enough’ or ‘not enough’ to compare. Pupils compare objects directly, focusing on one dimension such as length or height where the difference is marked and can indicate ‘the long one’ or ‘the tall one’ Pupils use their developing mathematical understanding of counting up to ten to solve simple problems encountered in play, games or other work, e.g. using tokens or marks to tally events or scoring in games. They show awareness of time, through some familiarity with names of the days of the week and significant times in their day, such as meal times, bed times, e.g. ordering events in their day on a visual daily timetable, understanding and using names of days of the week. Pupils make simple estimates, e.g. estimating the number of cubes that will fit into a box or the number of strides across a room. They respond to mathematical vocabulary such as ‘straight’, ‘circle’, ‘larger’ to describe the shape and size of solids and flat shapes. They describe shapes in simple models, pictures and patterns, e.g. using a set of flat shapes to make pictures or patterns and naming some of the shapes used. Name: Mathematics Level Descriptors Number Pupils join in rote counting to 10. They can count at least 5 objects reliably. They recognise numerals from one to five and to understand that each represents a constant number or amount. Pupils demonstrate an understanding of ‘less’, e.g. indicating which bottle has less water in it. In practical situations they respond to ‘add one’ to a number of objects, e.g. responding to requests such as add one pencil to the pencils in the pot, add one sweet to the dish. Pupils join in with rote counting to beyond 10. They continue to rote count onwards from a given small number, e.g. continuing to say or sign the count aloud when adult begins counting the first two numbers. Pupils recognise differences in quantity, e.g. in comparing given sets of objects and saying which has more or less, which is the bigger group or smaller group. They recognise numerals from one to nine and relate them to sets of objects. In practical situations they respond to ‘add one’ to or ‘take one away’ from a number of objects, e.g. adding one more to three objects in a box and say, sign or indicate how many are now in the box; at a cake sale saying, signing or indicating how many cakes are left when one is sold. They use ordinal numbers (first, second, third) when describing the position of objects/people. Pupils estimate a small number (up to 10) and check by counting. Comments Darrick Wood Infant School - Mathematics Assessment Date/task Level Mathematics Level Descriptors Using and Applying Begin to use mathematics in some classroom activities, e.g. sorting coloured pens. Sort and classify objects, respond to questions about how they have sorted objects and why each object belongs in a set e.g. sort using one criterion or sort into 2 sets using two simple criteria such as boy/girl or thick/thin. 1C Low L1 Can make simple patterns (colour/shape/number patterns) in mathematics. Beginning to record outcomes of investigations, appropriate to the task, e.g. represent their work using the objects they have sorted as a record. Mathematics Level Descriptors Space shape and measure Describe 2-D and 3-D shapes when using them in construction and pattern, e.g. begin to refer to some features of shapes such as side and corner, and begin to name the shapes they use in the context of an activity. Use everyday words to describe position. Begin to measure using direct comparison, using everyday language, e.g. compare lengths directly and put them in order. Name: Mathematics Level Descriptors Number Count up to objects to 10 Read and write numbers to 10, perhaps with some reversal. Order numbers to 10, placing 1-10 in ascending order. Understand addition as finding the total of 2 or more sets of objects. Understand subtraction as taking away objects from a set and finding how many are left. Begin to record their own work, e.g. using pictures. Is able to talk about work and what they have done, with support, e.g. can talk about simple patterns they have made. Pupils use mathematics as an integral part of classroom activities, with support, e.g. engage with practical mathematical activities involving sorting, counting and measuring by direct comparison. Sort and classify objects and demonstrate the criterion they have used. Can also sort objects again using a different criterion. 1B Secure L1 They recognise and use simple patterns or relationships. They represent their work with objects or pictures. They discuss their work, with support, e.g. respond to questions and ideas from peers and adults, they refer to the materials they have used and talk about what they have done, patterns they have noticed, etc. When working with 2-D and 3-D shapes, pupils use everyday language to describe properties, e.g. sort shapes and say how they have sorted them by properties such as large, small, triangles, shapes that roll, etc. Recite names in order, forwards and backwards to 10 and beyond. Use everyday language to describe positions. Begin to know some addition facts, e.g. doubles up to double 5. They measure and order objects using direct comparison, e.g. check which of two objects is heavier/lighter and begin to put three objects into order. Record their work, e.g. with pictures, diagrams. Respond to and use the language of comparison: longer, longest, shorter, shortest, more, less, heavier, lighter. Order events, e.g. order everyday events and describe the sequence, use the vocabulary of time including days of the week. Say what number comes next, is one more/less to 10. Add and subtract numbers of objects to 10. Comments Darrick Wood Infant School - Mathematics Assessment Date/task Level Mathematics Level Descriptors Using and Applying Work with some confidence on their own on class mathematical activities. Sort and classify objects, and discuss their sorting, e.g. talk about which set has most, talk about how they have represented their work. Sort objects into a given large scale Venn or Carroll diagram Shows confidence in creating and describing pattern in number and S.S.M. Pictorial representation of work is beginning to show organisation. Use objects/pictures to create simple block graphs. 1A High L1 Draw simple conclusions from their work, with support, e.g. describe the different ways they have sorted objects, what is the same about objects in a set, how sets differ, identify which set has most, which object is biggest, smallest, tallest, etc., explain numbers and calculations, how many altogether, how many left, etc. Mathematics Level Descriptors Space shape and measure Use appropriate mathematical language to describe 2-D and 3-D shapes. Measure using direct comparison, using mathematical language, e.g. find objects that are longer/shorter than a metre, heavier/lighter than 500 grams, hold more/less than 1 litre. Order time events and read the time on an analogue clock at the hour and begin to know the half hour time. Use positional and directional language, e.g. respond to and use positional language, such as “behind’, ‘under’, ‘on top of’, ‘next to’, ‘in between’… Also respond to and use directional language in talk about objects and movement, e.g. ‘forwards’, ‘backwards’, ‘turn’. Name: Mathematics Level Descriptors Number Begin to count in 2s. Estimate, count and record a number of objects. Begin to use the fraction, one-half, e.g. halve shapes by folding, fill containers “half-full”, halve an even number of objects. Count on/back from a given number and relate to addition/subtraction. Solve addition/subtraction problems, e.g. make a given total using selected pairs of numbers. Solve simple measuring problems and/or money problems. Begin to use symbols +, -, = to record their work. Comments Darrick Wood Infant School - Mathematics Assessment Date/task Level Mathematics Level Descriptors Using and Applying Begin to choose and use appropriate mathematics in problem solving. Use mathematical names for common 3-D and 2-D shapes. Sort objects and classify them using more than one criterion, e.g. sort a given set of shapes using two criteria such as triangle/not triangle and blue/not blue. Begin to describe properties of common 3-D and 2-D shapes. Understand vocabulary relating to handling data, e.g. understand vocabulary such as sort, group, set, list, table, most common, most popular. Pictorial representation of work shows some organisation. Beginning to use symbols/diagrams. Discuss solutions when solving problems in class activities. 2C Low L2 Mathematics Level Descriptors Space shape and measure Name: Mathematics Level Descriptors Number Know number names, recite in order forwards and backwards to 100. Count set of objects reliably. Describe the position of objects when giving directions (“The book is on top of the radiator, next to the blue basket”) and use ordinal numbers (first, second, third…) to describe the position of objects in a row. Begin to know what each digit in a two digit number represents. Begin to understand and distinguish between straight and turning movements. Begin to understand subtraction as “difference”, e.g. knows that 18-15 is 3 because there is a difference of 3 between the numbers. Begin to understand the need for standard measures, e.g. know which measuring tools to use to find, for example, how much an object weighs, how tall a child is, how long it takes to run around the edge of the playground, how much water it takes to fill the water tray. Begin to recognise sequences of numbers, including odd and even numbers. Understands – is the opposite of + Use addition/subtraction facts to 10. Recall doubles to 10+10. Begin to understand x as repeated addition, division as sharing. Solve number problems involving money and measures. Use +, - and = to record mental calculations. Comments Darrick Wood Infant School - Mathematics Assessment Date/task Level Mathematics Level Descriptors Using and Applying Mathematics Level Descriptors Space shape and measure Select the mathematics used in some classroom activities, e.g. selects apparatus to solve a problem and diagrams to represent the problem. Use mathematical names for common 3-D and 2-D shapes, e.g. identify 2-D and 3-D shapes from pictures of them in different orientations, e.g. square, triangle, hexagon, pentagon, octagon, cube, cylinder, sphere, cuboid, pyramid. Know number names, recite in order forwards/backwards, from given number to/back from 100. Use mathematical names to describe properties of 2-D and 3-D, including number of sides, corners and faces. Recognise sequences of numbers, including odd and even numbers, counting in 2s and 10s. Collect, sort, represent and discuss data, e.g. favourite flavours of crisps. Record data handling results in simple lists, tables, pictograms and block graphs. Pictorial representation of work shows organisation. Beginning to represent work using symbols and simple diagrams. Predict what comes next in a simple number, shape or spatial pattern or sequence and give reasons for their opinions. 2B Secure L2 Name: Discuss work using mathematical language, describing strategies and methods. Sort 2-D and 3-D shapes according to a single criterion, e.g. shapes that are pentagons or shapes with a right angle. Understand straight and turning movements and distinguish between left and right and between clockwise and anticlockwise and use these when giving directions, e.g. instruct a programmable robot, combining straight-line movements and turns, to move along a defined path or reach a target. Understand angle as a measurement of turn. Recognise right angles in turns. They begin to use everyday nonstandard and standard units to measure length and mass, e.g. measure a width book using cubes, measure length of a table using hands. Mathematics Level Descriptors Number Begin to understand the place value of each digit up to 100. Order whole numbers to 100. Begin to use halves and quarters, e.g. sharing sweets between 2 to get half each, work out halves of numbers to 20. Use the knowledge that subtraction is the inverse of addition, e.g. if given numbers 14, 6 and 8, pupils make related number sentences 6 + 8 = 14, 8 + 6 = 14, 14 – 8 = 6, 14 – 6 = 8. Use addition/subtraction facts to 10 and place value to add or subtract multiples of 10, e.g. I know 3+7 = 10 so 30+70 = 100. Use mental calculation strategies to solve number problems, including money and measures problems, e.g. I know 50+50 = 100, so 50p + 50p is 100p or £1. Record their work in writing, e.g. record mental calculations as number sentences. Begin to use x and ÷ to record mental calculations. Comments Darrick Wood Infant School - Mathematics Assessment Date/task Level Mathematics Level Descriptors Using and Applying Choose and use appropriate mathematics to solve a problem, adopting a systematic approach. Collect and sort data to test a simple hypothesis, e.g. ‘most children in our class are in bed by 7:30pm’. Name and describe the properties of common 3-D and 2-D using appropriate mathematical language. Pictorial representation of work shows good organisation. Recognise and explain that a shape stays the same even when it is held up in different orientations and recognise the properties that are the same even when a shape is enlarged, e.g. when comparing squares, circles, similar triangles, cubes or spheres of different sizes. Can represent work using symbols and simple diagrams, and developing their own methods of recording. Begin to understand the difference between shapes with two dimensions and those with three. Can communicate their findings, using the simple lists, tables, pictograms and block graphs they have recorded, e.g. respond to questions about the data they have presented, such as how many of our names have 5 letters? Pupils pose similar questions about their data for others to answer. Use angles as measurement of turn, including right angles, e.g. can make whole turns, half turns and quarter turns Present information in lists, tables and simple graphs where one symbol or block represents one unit. 2A High L2 Mathematics Level Descriptors Space shape and measure Discuss work and explain why an answer is correct. Able to use standard units to measure length, mass, e.g. read scales to the nearest labelled division and begin to make sensible estimates in relation to familiar units. Begin to use a wider range of measures. Name: Mathematics Level Descriptors Number Know number names, recite in order to and from 0-100 and beyond (1000). Secure understanding of place value to 100. Count objects reliably by grouping in 10s, 5s, 2s. Recognise and continue numbers sequences that increase or decrease in regular steps. Relate concept of halves and quarters to shapes, e.g. shade 1 quarter of a shape, including those divided into equal regions. Understand halving as a way of “undoing” doubling and vice versa, e.g. use knowledge of doubles up to 10+10 to derive corresponding halves. Use a range of strategies for + e.g. counting on/back, doubling, halving, bridging through 10, 20. Understand and use x and ÷. Use known number facts and place value to carry out simple mental x and ÷. Choose the appropriate operation when solving number problems involving addition and subtraction, e.g. uses repeated addition to solve multiplication problems (3+3+3+3 to solve 4x3). Comments Darrick Wood Infant School - Mathematics Assessment Date/task Level Mathematics Level Descriptors Using and Applying Mathematics Level Descriptors Space shape and measure Mathematics Level Descriptors Number Select mathematics they use in wider range of classroom activities, e.g. recognising similarities to previous work, put the problem into their own words, choose equipment appropriate to task, including calculators. Begin to be able to classify 3-D shapes in a variety of ways, e.g. sort objects and shapes using more than one criterion, e.g. pentagon, not pentagon and all edges the same length/not the same length. Understand place value in numbers to 1000, can read, write, compare and order numbers to 1000. Beginning to try different approaches and find ways of overcoming difficulties when solving problems. Recognise shapes in different orientations. Extract and interpret information presented in simple tables, lists, bar charts and pictograms, e.g. compare data, e.g. say how many more… than… and recognise the category that has most/least, and respond to questions of a more complex nature such as ‘How would the data differ if we asked the children in Year 6?’ 3C Low L3 Name: Gather information, e.g. decide what data to collect to answer a question, such as what is the most common way to travel to school, make appropriate choices for recording data, e.g. a tally chart. Construct bar charts and pictograms, where the symbol represents a group of units. Use Venn and Carroll diagrams to record their sorting and classifying of information. Shows signs of beginning to organise work and check results, e.g. begin to develop own ways of recording. Can discuss their mathematical work and begin to explain their thinking, e.g. talk about their findings by referring to their written work. Beginning to use and interpret mathematical symbols and diagrams. Beginning to show understanding of a general statement by finding examples to match it, Recognise and name common 3-D shapes, e.g. triangular prism, square based pyramid. Relate 3-D shapes to drawings and photographs of them, including from different viewpoints. Recognises a wider range of sequences, e.g. recognises sequences of multiples of 2, 5, 10. Begin to use decimal notation in contexts such as money, e.g. writes £1.50, knows £3.06 = 306p. Understand and use fractions such as 1/2, 1/4, 1/3,1/5, 1/10, and find those fractions of shapes and sets of objects, e.g. find ¼ of a circle and ¼ of a set of 20. Begin to understand symmetry in 2D shapes, e.g. demonstrate that a shape has reflection symmetry by folding and recognise when a shape does not have a line of symmetry. Recognise and record fractions that are several parts of the whole such as 3/4, 2/5. Reflect shapes, presented on a grid, in a vertical or horizontal mirror line. Use mental recall of addition and subtraction facts to 20 when solving problems involving larger numbers. Recognise right angles in shapes in different orientations. Mental recall of 2, 3, 4, 5, and 10 multiplication tables. Describe position and movement, e.g. use terms such as left/right, clockwise/anticlockwise, quarter turn/90° turn to give directions along a route. Use known multiplication facts to solve x and ÷ calculations, e.g. I know 2x10 is 20 so 4x10 will be 40 and 202 must equal 10. Use standard and non-standard measurements for length and mass, e.g. measure a length to the nearest 1/2 cm. Begin to understand the role of =, e.g. solve “balancing” problems such as 55+17 = 82 - ? Begin to use measurement of time. Add and subtract two digit numbers mentally, e.g. 36 + 19, 63 – 26. Recognise ÷. as inverse of x. Solve one and two-step problems involving addition and subtraction using appropriate operation. Comments Darrick Wood Infant School - Mathematics Assessment Date/task Level Mathematics Level Descriptors Using and Applying Pupils try different approaches and find ways of overcoming difficulties that arise when they are solving problems, including checking their work and making appropriate corrections. Interpret information presented in range of tables & graphs, e.g. use a key to interpret represented data, read scales labelled in 2s, 5s, 10s, including reading between labelled divisions such as halfway between 40-50. 3B Secure L3 Gather data and decide how best to represent data, e.g. whether Venn diagram or pictogram would show the information most clearly, and construct bar charts and pictograms, where the symbol represents a group of units, such as labelled divisions of 2 or 10, or, for a pictogram, one symbol to represent 2 or 5. In context of data relating to everyday situations, understand idea of ‘certain’ & ‘impossible’ relating to probability. Beginning to organise their work and check results, e.g. develop an organised approach as they get into recording their work on a problem. Pupils discuss their work and are able to explain their thinking, using appropriate mathematical vocabulary. They use and interpret mathematical symbols and diagrams. Pupils show that they understand a general statement by finding particular examples that match it. Review their work and reasoning, e.g. respond to ‘What if?’ questions or when they have solved a problem, they pose a similar problem for a partner. Name: Mathematics Level Descriptors Space shape and measure Mathematics Level Descriptors Number Pupils classify 3-D and 2-D shapes in various ways using mathematical properties, such as describing reflective symmetry for 2-D shapes, e.g. sort the shapes which have all edges the same length and all angles the same size from a set of mixed shapes. Use understanding of place value to multiply/divide whole numbers by 10, e.g. 90÷10 = 9 Recognise right-angled and equilateral triangles. Begin to recognise nets of familiar 3-D shapes, e.g. cube, cuboid, triangular prism, square-based pyramid. Reflect a shape even if the shape is at 45° to the mirror line, touching the line or not. They use non-standard units and standard metric units to measure length, capacity, mass, and standard units of time, such as the length of a film in number of whole hours, or how long playtime is in minutes. Use a wider range of measures, e.g. begin to understand perimeter as a measure of length and area as a measure of surface and begin to work out by counting squares and explain answers as a number of squares even if not using standard units, such as cm2 or m2. Recognises and describes a wider range of number sequences. Use decimal notation in contexts such as money, e.g. order decimals with one decimal point, or two decimal points in context of money. Use simple fractions that are several parts of a whole and recognise when two simple factions are equivalent, e.g. recognise that 2/4 is equivalent to 1/2 Add and subtract thee-digit numbers using written methods, e.g. bridging through 10 or 100. Use a range of strategies for x and ÷ Use mental recall of 2, 3, 4, 5, 10 multiplication tables, e.g. multiply a two-digit number by 2, 3, 4, 5. Begin to know multiplication facts for x6, x7, x8, x9 tables. Understand “balancing” problems, including those involving multiplication, e.g. 7x10 = 82 - ? Solve one & two-step problems involving multiplication & division, identifying appropriate operation to use Use inverse operations to find missing whole numbers in problems, such as “I think of a number, double it and add 5. The answer was 35. What was my number?” Comments Darrick Wood Infant School - Mathematics Assessment Date/task Level Mathematics Level Descriptors Using and Applying Mathematics Level Descriptors Space shape and measure Mathematics Level Descriptors Number Pupils are more confident when trying different approaches and finding ways of overcoming difficulties when problem solving. Classify 3-D and 2-D shapes, using and naming properties, and begin to understand the terms ‘regular’ and ‘irregular’. Use place value to compare, order, estimate and make approximations to 10,000. Begin to interpret a range of tallies, charts and graphs, e.g. interpret simple pie charts, interpret the scale on bar graphs and line graphs, reading between the labelled divisions. Use reflective symmetry in 2-D shapes. In the context of data relating to everyday situations, begin to understand the language of probability such as ‘more likely, equally likely, fair, unfair, certain’. Constructs a range of simple graphs, such as line graphs, and decides upon an appropriate scale for a graph. Can organise work and check results. 3A High L3 Name: Can discuss work with confidence, able to explain thinking. Uses and interprets mathematical symbols and diagrams with more confidence. Are confident in showing that they understand a general statement by finding particular examples to match it. Recognise angles which are bigger/smaller than 90° and begin to know the terms ‘obtuse’ and ‘acute’. Use a wide range of measures, e.g. recognise angles as a measure of turn and know that one whole turn is 360 degrees, find areas of shapes using numbers of squares in a grid or standard units such as cm2. Use standard metric measures for length, capacity, mass and time in a range of contexts, e.g. read simple scales with increments of 2, 5 or 10, work out time durations in minutes that are under an hour. Recognise negative numbers in contexts such as temperature. Add and subtract decimals in the context of money. Multiply and divide decimals by 10, 100, 1000. Know multiplication facts for x6, x7, x8, x9 tables. Multiply and divide two-digit numbers by 2, 3, 4, 5, 10 with whole number answers and remainders, e.g. calculate 49 3. Derive associated division facts from known multiplication facts, e.g. if given 14x5 = 70, pupils use their understanding of x and operations to create the following number sentences 5x14 = 70, 705 = 14, 7014 = 5, and pupils solve 14x5 with known facts 10x5 = 50 and 4x5=20 so 14x5 = 70 (50+20) Solve number problems, including those that involve division that may leave remainders. Round up or down after simple division, depending on context. Comments