Mathematics overview and progression map KEY STAGE 1 YEAR 1 YEAR LOWER KEY STAGE 2 2 YEAR 3 YEAR UPPER KEY STAGE 2 4 YEAR 5 YEAR 6 Number and place value Count to 100 in steps of 1, 2, 5 & 10 in steps of 2, 3, 5 forwards & backwards in steps of 4, 8, 50 and 100, forwards and backwards in steps of 6, 7, 9, 25,1000, forwards and backwards in steps of 10,000 & 100,000 forwards & backwards Read & write numbers Order from 1 to 20 to 100 to 1,000 to 10,000 to 1,000,000 to 10,000,000 understand most, least, fewer, more Use symbols <, > and = numbers to 1,000 to 10,000 to 1,000,000 to 10,000,000 tens and ones hundreds thousands millions ten millions to the nearest 10, 100 or 1000 to nearest 10,000 or 100,000 any number to any nearest amount count through zero calculate intervals through zero Place value Rounding Negatives Addition and subtraction Number bonds Mental maths up to 20 up to 100 single digits two 2-digit numbers 3-digit numbers +/- ones, tens or hundreds 3-digit number +/2-digit numbers 4-digit numbers mixed operations and large numbers 3-digit numbers 4-digit numbers, two step problems more than 5-digits and above 4-digit numbers by 2-digit numbers, multi-step Multiplication and division one step Calculate Mental maths & times tables Written methods one step 2-digit x/÷ 1-digit 2, 5 & 10 3, 4 & 8 factors pairs, multiply decimals by 10, 100 & 1000 common factors, common multiples up 12 x 12 divide mentally multiply 2-digit & 3-digit numbers multiply 4-digits numbers, 4-digits ÷ by 2 to 9 know primes to 19, use correct terms interpret remainders as fractions /whole numbers identify any number as prime / composite recognise and write recall at speed Primes, prime factors and composites Square and cube numbers Order of operations use to carry out calculations with the four operations Fractions count in ½s, ¼s, tenths & hundredths fractions of fractions improper fractions & mixed numbers simplify fractions fractions with same denominator, below 1 unit fractions with same denominator, above 1 unit more than two fractions with the same denominator proper fractions and mixed number fractions with different denominators fractions x fractions Recognise, compare and write 1 decimal place up to 3 decimal places any number of decimal places Decimal to fractions equivalents ¼, ½, ¾ , tenths hundredths, 1/5, 2/5, 4/5 1/8, 1/3 Multiply and divide by 10 or 100 by 1000 Rounding 1 decimal place to nearest whole 2 decimal place to nearest whole or to one decimal place recognise decimal and fraction equivalents of 50%, 25%, 20% 40%, and 80% numbers with 2 decimal places x whole numbers solve word problems which require rounding calculate percentages of whole numbers Recognise, find, name and write Add and subtract ½&¼ 1/3 & ¾ Multiply Decimals Percentages Ratio and proportion solve word problems Algebra find missing numbers and solve number sentences with up to 2 unknowns Measures Length & height compare, describe, measure record, read scales, order add, subtract convert cm to mm convert km to mm to cm to mm solve word problems Mass/weight Compare, describe, measure Record, read scales, order add, subtract convert kg to g estimate weight of everyday objects solve word problems Capacity Compare, describe, measure Record, read scales, order add, subtract convert l to ml recognise and estimate volume Time compare, describe, o’clock, and half past read clock face read & convert 12-hr & 24hr add and subtract convert hrs to min; min to secs; yrs to months to 2 decimal places write timetables Area of rectangles by counting of rectangles by measuring and calculating Perimeter of rectangles, by calculating of composite shapes, by measuring and calculating compare volume of cubes and cuboids interpret timetable and time lines give change with speed & accuracy recognise shapes with same area can have different perimeters; calculate area of triangles and parallelograms recognise shapes with same perimeter can have different area draw using given dimensions and angles, use protractor, mark right angles – kite, arrowhead, pentagon, hexagon, octagon identify from 2-D pictures Money give change in retail role play Geometry 2-D shape recognise and name number of side draw with a ruler compare and classify 3-D shapes square, rectangle, circle, triangle recognise and name cube, cuboid, pyramid, sphere ½, 1/4, ¾ turns some quadrilaterals, polygons edges, vertices, faces semi circle, right-angled triangle describe accurately, make models hemisphere all triangles, parallelograms, rhombus, trapezium categorise & order by properties – square based & triangular-based pyramids order and arrange order and arrange recognise right angles, acute, obtuse identify horizontal, vertical, parallel, perpendicular compare angles Rotation Patterns cylinder, cone, prisms Rotation, straight lines Angles Lines and reflections recognise lines of symmetry tetrahedrons identify/show position after rotation find angles, identify radius, diameter and circumference heptagon, decagon Build 3-D shapes from nets – all 3-D shapes reflex, angles around a point, estimate & measure reflect simple shapes on coordinate planes (vertical and horizontal) find unknown angles all four quadrants Coordinates first quadrant, plot points second quadrant Translation Left/right or up/down Identify and show position after translation calculate sum and difference complete, including timetables interpret and draw calculate sum and difference reflect simple shapes on a 45º plane Data Pictograms, tally charts, tables Bar charts, line graphs compare, categorise read and draw Pie charts read and draw Mean, median, mode, range calculate and interpret Autumn 1 Year 1 Whole school overview Autumn 2 Spring 1 Number-Addition Number- & subtraction Geometry Properties of shape of Maths Topics Spring 2 Summer 1 Number-Place Number-Add & Number-Number value; subtraction; counting and number order patterns; doubles; grouping & sharing; + & fractions value; + & - grouping & subtract; fractions; multiplication & division & place value; + & -, fractions; x & ÷ Measurement Measurement Geometry Geometry Geometry Measurement Measurement Measuring Time and standard units of measure Number-Estimate, Number-Estimate, Number Geometry Geometry Turns & direction Properties of 2D/3D shapes Measures Measures including time. sharing; Shape, position and movement Measurement Moving and turning Measures & time Year 2 Number-Counting, reading writing numbers; addition, subtraction, repeated addition & subtraction Geometry 2D shapes Measurement Units of measure, compare and order Year 3 Geometry value, rounding, count in 6, 7, 9, 25, 1000; 1000 more/less Column add/subtract up to 4 digits; tables facts to 12 x 12 Properties of shapes Measurement Convert between units of measure, perimeter of shapes Number - Place value to 7-digit, column add & subtract, factors of numbers, x/÷ by 10, 100, 1000, use known facts to x/÷ Geometry Draw, name, measure types of angles, convert units, area, perimeter Measurement Data in tallies, tables and pictograms estimate, add/subtract 2- & 3-digits; doubling, halving, TU x U; Fractions of shapes and numbers Read/write time Statistics Pictograms & tables Number-Column add/subtract up to 4 digits; use inverse to check, solve problems using x & +; equivalent fractions, fractions of quantities Geometry Quadrants, angles value and rounding, multi-step problems in context and all 4 ops, ThHTU x/÷TU, Geometry Circles and angles Measurement Convert & solve problems using all units of measure Choose and use standard units of measure Number- Place value, rounding; partitioning to add/subtract; multiply by multiples of 10; informal methods of x &÷ Measurement Add/subtract money, right angles in 2D shapes Number- Place value, rounding, Roman numerals, add & subtract using column method; table facts to 12 x 12; multiply HTU/TU x U; divide by 10 & 100, fractions and equivalent decimals count, order, using mental strategies; arrays, grouping, tables facts; fractions of amounts, shapes and objects Measurement Tell & write time Statistics Data in tables and charts Number-Column +/- 2-digits; divide with remainders; compare unit & non-unit fractions of shapes/numbers Regular, irregular polygons, 3D shapes Number-ThHTU x/÷ TU using long multiplication & division, compare, simplify & order fractions, decimals, use all 4 ops in context Geometry 2D & 3D shapes, nets Statistics Pie charts, line graphs write, order, round 2/3 digits; problems using x & ÷; column +/- 3 –digits Geometry numbers, rounding, place value, column add/subtract including multi-step problems, square & cube numbers, divide decimals, +/fractions Geometry add/subtract 2- & 3digits; written x & ÷ problems; shorts x & ÷; add & subtract fractions to make 1 Number-Inverse Number-negative Number-Tables operations, tables facts to 12 x 12, column add & subtract, HTU/TU x U Geometry Types of angles, quadrants, translations Measurement Number-Mental & formal addition & subtraction, multiply/divide and interpret remainder, use % & relate to fractions Measurement Statistics Line graphs numbers, order, compare, rounding, mental calculations, column + & -, formal HTU/TU x U, equivalent fractions, add & subtract fractions Measurement Convert between units of measure, perimeter & area of shapes in cm &m Number- negative numbers, rounding, Roman numerals, add/subtract more than 4-digit numbers, multistep problems, x/÷ 4digit numbers, mixed numbers & improper fractions Geometry Estimate, compare angles, regular & irregular polygons Measurement Estimate volume, use all 4 ops to solve measure problems Number-Negative Number- x/÷ 4- Geometry Measurement Reflections, translations Convert between units of measure, area & volume of shapes, solve conversions problems Area & volume of shape using standard units of measure Number-Column Bar charts, tables & pictograms Measurement Measurement Data, tallies, tables, pictograms Statistics Reflections & translations numbers, rounding, solve multi-step problems in context, calculate with fractions Statistics Use l and ml Conversions, capacity, use all 4 ops to solve measure problems Conversions, use 4 ops to solve measure problems Time Scales, Bar charts, Pictograms, tables. Bar charts, line graphs, pictograms, tables Number-Negative Measurement Measurement Statistics Geometry Number- Read, Position and direction Statistics Statistics x/÷ whole numbers & decimals by 10, 100, 1000, x/÷ by 1 & 2digits, write, compare, order decimals, fractions & decimals Length, mass, capacity and money Geometry Use g & kg 12- & 24-hr clocks Number-Formal Measurement Estimating, Counting, comparing & ordering numbers; partitioning & sequencing; fractions of shapes / quantities; Vertical, horizontal, parallel/perpendicular lines; angles Measurement Bar charts, simple line graphs, pictograms count, order, compare numbers; using mental strategies to +/-, repeated addition, arrays, grouping; fractions of quantities Recognise/name shapes Measurement Analogue/digital, 12-hr, 24-hr, converting between time units Tables and charts Number-Place Geometry Statistics Statistics Year 6 count, addition and subtraction facts; partitioning; repeated addition, arrays, grouping, times tables Position and direction Measurement Number-Place Number-Estimate, Properties of 2D /3D shapes Measurement Geometry Year 5 and order numbers, addition and subtraction facts, arrays & groupings, fractions of quantities & shapes Number-Count, Use cm, mm, m; recognise and make 2D/3D shapes. Year 4 Number-Compare Number-Reading, writing, ordering 2 & 3digits, counting / estimating; adding 1 & 2-digits, multiplication & division facts. Summer 2 Number-Number Place digit by 2-digit, solve problems using 4 ops, % & fractions equivalent, formulae Statistics Pie charts/line graphs Number-Negative numbers, place value, add & subtract in context, multiplication, division, problem solving, add & subtract fractions, % Ratio & proportion Solve problems Measurement 12-hr & 24 hr clock facts to 12 x 12; twostep add & subtract problems, column add & subtract 4-digits, HTU/TU x U Geometry Types of angles, lines of symmetry, translations Statistics Discrete & continuous data, different presentations Number-Add & subtract more than 4digit numbers, solve problems using all 4 ops, problems involving %, read, write & compare decimals Geometry Perimeter & area of shapes, solve problems involving x & ÷ Statistics Interpret information in tables, timetables & line graphs Number- x/÷ multi-digit numbers, solve problems in context, proper fractions, % & decimals Algebra Algebraic problems, number sequences Measurement Measure problems Statistics Pie charts, line graphs
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