The Southfield Mathematician

The Southfield Mathematician Trips:

Enrichment experiences:

Real Life Maths and Maths through story trips (Bank visits, Shop visits, estate agents etc.)

Maths Day/Week Mathematicians visitors/speaker Visitors from different maths careers (including parents – accountants, bankers etc.)

Workshops Competitions TimesTable Rockstars Mathletics Parent Workshops

Skills: Number - Number and Place Value  Read, write, order and compare numbers up to 10 000 000.  Know the value of each digit in an eight-digit number.  Use negative numbers in context, and calculate intervals across zero.  Solve number and practical problems.  Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy.

Number – Addition, Subtraction, Multiplication and Division  Interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context.  Perform mental calculations, including with mixed operations and large numbers.  Identify common factors, common multiples and prime numbers.  Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why.

Number – Fractions (including decimals and percentages)  Use common factors to simplify fractions; use common multiples to express fractions in the same denomination.  Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions.  Multiply simple pairs of proper fractions, writing the answer in its simplest form [for example, ¼ × ½ = 1/8 ].  Divide proper fractions by whole numbers [for example, 1/3 ÷ 2 = 1/6].  Multiply and divide numbers by 10, 100 and 1000 giving answers up to three decimal places.  Multiply one-digit numbers with up to two decimal places by whole numbers.  Use written division methods in cases where the answer has up to two decimal places.  Solve problems which require answers to be rounded to specified degrees of accuracy.

Ratio and Proportion  Solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts.  Solve problems involving the calculation of percentages [for example, of measures, and such as 15% of 360] and the use of percentages for comparison.  Solve problems involving similar shapes where the scale factor is known or can be found.

Algebra  Find pairs of numbers that satisfy an equation with two unknowns.  Enumerate possibilities of combinations of two variables.

Measurement  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.  Calculate the area of parallelograms and triangles.

Geometry – Properties of shapes  Draw 2-D shapes using given dimensions and angles.  Build simple 3-D shapes, including making nets.

Geometry – Position and direction  Draw and translate simple shapes on the coordinate plane, and reflect them in the axes.

Statistics  Construct pie charts and line graphs and use these to solve problems.

Knowledge: Number - Number and Place Value  Round any whole number to a required degree of accuracy.

Number – Addition, Subtraction, Multiplication and Division  Multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication  Divide numbers up to 4 digits by a two-digit whole number using the formal written method of long division or short division where appropriate.  Use their knowledge of the order of operations to carry out calculations involving the four operations.  Solve problems involving addition, subtraction, multiplication and division.

Number – Fractions (including decimals and percentages)  Compare and order fractions, including fractions > 1.  Associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example, 3/8].  Identify the value of each digit in numbers given to three decimal places.  Recall and use equivalences between simple fractions, decimals and percentages, including in different contexts.

Ratio and Proportion  Solve problems involving unequal sharing and grouping using knowledge of fractions and multiples.

Algebra  Use simple formulae.  Generate and describe linear number sequences.  Express missing number problems algebraically.

Measurement  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.  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, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres (𝑐𝑚3 ) and cubic metres (𝑚3 ), and extending to other units [for example, 𝑚𝑚3 and 𝑘𝑚3 ].

Geometry – Properties of shapes  Recognise and describe simple 3-D shapes.  Compare and 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, including 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.

Geometry – Position and direction  Describe positions on the full coordinate grid (all four quadrants).

Statistics  Interpret pie charts and line graphs to solve problems.  Calculate and interpret the mean as an average.

Vocabulary Reception: Above, add, addition, altogether, balance, before, below, between, capacity, circle, clock, compare, corner, cost, count, curve, cuboid, curve surface, cylinder, 2-D, 3-D, describe, difference, direction, double, edge, empty, equal, face, fewer, first, flat, full, group, half, last, length, less, line, long, mass, measure, minus, more, next, number bond, number line, number track, order, pair, pattern, plus, rectangle, second, sequence, set, share, short, side, size, sort, square, subtract/ion, sum, surface, take away, tall, time, total, triangle, Venn diagram, vertex, vertices, weight, zero

Year 1:

Year 2:

Year 3:

Year 4:

Year 5:

Year 6:

Analogue clock, anticlockwise, approximate, array, block graph, carrol diagram, chart, chronological, clockwise, cone, continuous surface, date, decreasing, diagram, digit, divide, estimate, even number, facts, fraction, half turn, hour, increasing, kilogram, known fact, left, litre, mental calculation, metre, minute, oblong, odd number, partition, pictogram, place value, position, pound (sterling), properties, pyramid, quantity, quarter, quarter turn, repeated addition, repeated subtraction, represent, right, rule, scales, sign, standard unit, sign, standard unit, sphere, symbol, table, turn, unit, volume

Angle, block graph, calculate, capacity, centimetre, column, commutative, consecutive, denominator, division, efficient, frequency, gram, heptagon, hexagon, inverse operation, millilitre, multiple, multiplication, multiply, near double, non-unit fraction, numerator, octagon, operation, pentagon, pictogram, quadrilateral, quarter turn, relationship, right angle, rotation, scale, symmetry, tally, temperature, three quarters, unit fraction, vinculum

Acute angle, axis (axis), bar graph, columnar (+ & -), factor, formal written methods, horizontal, irregular, kilometre, millimetre, numeral, obtuse angle, parallel, perimeter, perpendicular, place holder, prism, product, regular, roman numerals, round, square-based pyramid, triangularbased pyramid, vertical

Area, associative law, convert, coordinate, decimal fraction, distributive law, dividend, divisor, equalitarian, equitant, expression, grid, improper fraction, integer, interval, isosceles, kite, line graph, mixed numbers, negative numbers, parallelogram, plot, point, positive number, proper fraction, protractor, quotient, rectilinear, rhombus, scalene, short division, short multiplication, simplify, square centimetre, trapezium

Angle at a point, angle on a line, average (MEAN), common factor, common multiple, congruent, cube number, cubic centimetre, cubic meter, decagon, degree, diagonal, divisible, dodecagon, long division, long multiplication, negative integer, nonagon, percentage, polygon, polyhedron, prime factor, prime number, protractor, remainder, reflection, reflex angle, scale (not to scale), square meter, square number, tetrahedron, transformation, translation

Algebra, alternate angles, analogue clock, angle at a point on a line, anticlockwise, approximation, arc, axis of symmetry, bisect(or), brackets, cancel (a fraction), categorical data, centilitre, circumference, coefficient, compasses (pair of), composite shape, equivalent fractions, highest common factor (HCF), long division, lowest common multiple ( LCM), mass, median, mixed fraction, mixed number, nth term of a sequence, order of operation, power (of ten), probability, quotient, ratio, recurring decimal, scale factor, scatter graph, segment, term-to-term rule, vertically opposite angles

Story Based Curriculum Reception/Year 1/Year 2: When sheep cannot sleep – the counting book Counting sheep – a bedtime adventure Alfie’s numbers Daisy and the trouble with piggy banks Abigale None the number Kipper’s birthday Katie Morag and the birthdays Alfie and the birthday surprise Happy birthday Maisy Biscuit bear Millie’s marvellous hat How many jelly beans?

Line up, please!

We are not frogs!

The shopping basket None the number One thing featuring Charlie and Lola How may legs That rabbit belongs to Emily Brown Eat your peas Red shoes Feast for ten The doorbell rings The great pet sale Millie’s marvellous hat Dogger Jim’s beanstalks Oliver’s milkshake The big princess Ruby Nettleship and the ice lolly adventure Man on the moon What’s the time Mr Wolf?

Whoops! But it wasn’t me Home Tin The jolly postman There are cats in this book

Year 3: RLM lessons (bank visits, shop visits, estate agents etc.)

RLM lesson contextually linked to other curriculum topics

Year 4: RLM lessons (bank visits, shop visits, estate agents etc.)

RLM lesson contextually linked to other curriculum topics

Year 5: RLM lessons (bank visits, shop visits, estate agents etc.)

RLM lesson contextually linked to other curriculum topics

Year 6: RLM lessons (bank visits, shop visits, estate agents etc.)

RLM lesson contextually linked to other curriculum topics

Enrichment experiences Reception: Maths Day/Week Mathematicians visitors/speaker Workshops Competitions Numbots Parent Workshops

Year 1: Maths Day/Week Mathematicians visitors/speaker Workshops Competitions Numbots/TimesTable Rockstars Mathletics Parent Workshops

Year 2: Maths Day/Week Mathematicians visitors/speaker Visitors from different maths careers (including parents – accountants, bankers etc.)

Workshops Competitions TimesTable Rockstars Mathletics Parent Workshops

Year 3: Maths Day/Week Mathematicians visitors/speaker Visitors from different maths careers (including parents – accountants, bankers etc.)

Workshops Competitions TimesTable Rockstars Mathletics Parent Workshops

Year 4: Maths Day/Week Mathematicians visitors/speaker Visitors from different maths careers (including parents – accountants, bankers etc.)

Workshops Competitions TimesTable Rockstars Mathletics Parent Workshops

Year 5: Maths Day/Week Mathematicians visitors/speaker Visitors from different maths careers (including parents – accountants, bankers etc.)

Workshops Competitions TimesTable Rockstars Mathletics Parent Workshops

Year 6: Maths Day/Week Mathematicians visitors/speaker Visitors from different maths careers (including parents – accountants, bankers etc.)

Workshops Competitions TimesTable Rockstars Mathletics Parent Workshops

Knowledge Reception – Early Learning Goals: 40-60 months – Numbers Recognise some numerals of personal significance.

Recognises numerals 1 to 5.

Selects the correct numeral to represent 1 to 5, then 1 to 10 objects.

Estimates how many objects they can see and checks by counting them.

Uses the language of ‘more’ and ‘fewer’ to compare two sets of objects.

Says the number that is one more than a given

Year 1:

Year 2:

Year 3:

Year 4:

Year 5:

Number - Number and Place Value Count to 100.

Count backwards from 100.

Read and write to 100.

Identify 1 more and 1 less.

Number - Number and Place Value Recognise the place value of each digit in a two-digit number.

Identify, represent and estimate numbers using different representations and in words.

Use place value and number facts to solve problems.

Number - Number and Place Value Find 10 or 100 more of less on a number.

Recognise the place value of each digit in a 3-digit number.

Compare and order numbers to 1000.

Identify, represent and estimate numbers.

Number - Number and Place Value Find 1,000 more or less than a given number.

Recognise the place value of each digit in a four-digit number.

Read Roman numerals to 100 (I to C).

Number - Number and Place Value Read, write, order and compare numbers to at least 1,000,000.

Interpret negative numbers and count forwards and backwards with positive and negative whole numbers, including through 0.

Read Roman numerals to 1,000 (M).

Write Roman numerals to 1,000 (M).

Recognise years written in Roman numerals.

Establish whether a number up to 100 is prime and recall prime

Number – addition and subtraction Use numbers bonds to 20.

Number - Fractions Recognise half.

Recognise a quarter.

Measurement Understand lengths and heights.

Number – addition and subtraction Recall and use addition and subtraction facts to 20 fluently.

Recognise and use the

Number – addition and subtraction Estimate and use inverse operations.

Number – multiplication and division Multiplication facts for 3, 4 and 8.

Number – multiplication and division Recall multiplication facts for multiplication tables up to 12 × 12.

Recall division facts for multiplication tables up to 12 × 12.

Recognise and identify factor pairs.

Year 6: Number - Number and Place Value Round any whole number to a required degree of accuracy.

Number – Addition, Subtraction, Multiplication and Division Multiply multi-digit numbers up to 4 digits by a two-digit whole number using the formal written method of long multiplication.

Divide numbers up to 4 digits by a two-digit whole number using the formal written method of long

number.

Finds one more or 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 adding and subtracting.

Records, using marks that they can interpret and explain.

40-60 months – Shape, space & measures Beginning to use mathematical names for ‘solid’ 3D shapes and ‘flat’ 2-D shapes, and mathematical terms to describe shapes.

Can describe their relative position such as ‘behind’ or ‘next to’.

Uses everyday language related to time.

Beginning to use everyday language related to money.

Early Learning Goals – Number Have a deep understanding of number to 10, including the composition of each Number.

Automatically recall (without reference to rhymes, counting or other aids) number bonds up to 5 (including

Understand mass and weight.

Understand capacity and volume.

Tell the time to hour and half hour.

Recognise days of the week. Recognise months of the year.

Recognise values of money.

Geometry – properties of shape Recognise 2D shapes.

Recognise 3D shapes.

Geometry – position and direction Describe position.

Describe direction.

inverse between addition and subtraction.

Identify missing numbers in a number sentence.

Number – multiplication and division Recall and use multiplication and division facts for the 2, 5 and 10.

Show that multiplication of 2 numbers can be done in any order (commutative) and that the division of 1 number by another cannot.

Number – Fractions Recognise, find, name and write 1 12 3 Fractions and 3 44 4 Write simple fractions, 1 for example of 6 = 3 2 Recognise the 2 1 equivalence of and .

4 2 Choose and use appropriate standard units to estimate and measure.

Measurement Compare and order lengths, mass, volume/capacity and record the results using >, < and =.

Recognise and use

Divide facts of 3, 4 and 8.

Number - Fractions Count up and down in tenths Show equitant fractions.

Compare and order fractions with the same denominators.

Measurement Tell the time from an analogue clock.

Use Roman numerals.

Estimate time to the nearest minute.

Compare durations of events.

Geometry – properties of shape Recognised 3D shapes.

Recognise angles as a property.

Identify right angles.

Identify angles which are greater than and less than a rightangles.

Identify horizontal and vertical lines.

Identify pairs of perpendicular and parallel lines.

Statistics Understand and present data using bar charts Understand present data using pictograms Understand and present data using tables.

Number – Fractions (including decimals) Recognise and show common equivalent fractions.

Identify a fraction of an amount.

Recognise and write decimals (Tenths or hundreds).

Recognise and write decimal equivalents to 11 3 and .

42 4 Round decimals with 1 decimal place to the nearest whole number.

Compare numbers to 2 decimal places.

Measurement Convert between different units of measure.

Estimate, compare and calculate different amounts using money in pounds and pence.

Read and write time on a 12- hour clock.

Read and write time on a 24- hour clock.

Convert time between analogue and digital 12- and 24-hour clocks.

Geometry – properties of shape

numbers up to 19.

Number – addition and subtraction Use rounding to estimate and check.

Number – multiplication and division Identify multiples and factors.

Recognise and use square and cube numbers, and the notation for squared (²) and cubed (³).

Number – Fractions (including decimals and percentages) Compare and order fractions whose denominators are all multiples of the same number.

Identify, name and write equivalent fractions of a given fraction.

Recognise mixed numbers and improper fractions and convert from one form to the other.

Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents.

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

Recognise the % symbol

division or short division where appropriate.

Use their knowledge of the order of operations to carry out calculations involving the four operations.

Solve problems involving addition, subtraction, multiplication and division.

Number – Fractions (including decimals and percentages) Compare and order fractions, including fractions > 1.

Associate a fraction with division and calculate decimal fraction equivalents [for example, 0.375] for a simple fraction [for example, 3/8].

Identify the value of each digit in numbers given to three decimal places.

Recall and use equivalences between simple fractions, decimals and percentages, including in different contexts.

Ratio and Proportion Solve problems involving unequal sharing and grouping using knowledge of fractions and

subtraction facts) and some number bonds to 10, including double facts.

Early Learning Goals – Numerical Patterns Explore and represent patterns within numbers up to 10, including evens and odds, double facts and how quantities can be distributed equally.

symbols for pounds (£) and pence (p). Find different combinations of coins that equal the same amounts of money.

Compare and sequence intervals of time.

Tell and write the time to quarter, half past and quarter to.

Tell and write the time to five minutes.

Know the number of minutes in an hour and the number of hours in a day.

Geometry – properties of shape Identify and describe the properties of 2-D shapes.

Identify and describe the properties of 3-D shapes.

Identify 2-D shapes on the surface of 3D shapes, [for example, a circle on a cylinder and a triangle on a pyramid].

Compare and sort common 2-D and 3-D shapes and everyday objects.

Geometry – position and direction Order and arrange combinations of

Compare and classify geometric shapes.

Identify acute and obtuse angles.

Identify lines of symmetry in 2-D shapes.

Complete a simple symmetric figure with a line of symmetry.

Geometry – position and direction Describe positions on a 2-D grid as coordinates in the first quadrant.

Plot specified points and draw sides to complete a given polygon.

Statistics Interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs.

and understand that per cent means ‘number of parts per 100’.

Measurement Convert between different units of metric measure. [cm and m; am and mm; g and kg; l and ml].

Use equivalences between metric units and common imperial units [inches, pounds and pints].

Estimate volume and capacity [1 cm³].

Read and write the time of analogue and digital clocks. Use all four operations to solve problems involving measure [for example, length, mass, volume, time, money].

Geometry – properties of shape Identify 3-D shapes, including cubes and other cuboids, from 2D representations.

Estimate and compare acute, obtuse and reflex angles.

Draw given angles, and measure them in degrees (°).

Explain the angle around one whole turn is 360°. Explain the angles at a point on a straight line and

multiples.

Algebra Use simple formulae.

Generate and describe linear number sequences.

Express missing number problems algebraically.

Measurement 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.

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, estimate and compare volume of cubes and cuboids using standard units, including cubic centimetres (𝑐𝑚3 ) and cubic metres (𝑚3 ), and extending to other units [for example, 𝑚𝑚3 and 𝑘𝑚3 ].

Geometry – Properties of shapes Recognise and describe simple 3-D shapes.

mathematical objects in patterns and sequences.

Use mathematical vocabulary to describe position, direction and movement.

Statistics Interpret and construct simple pictograms, tally charts, block diagrams and tables.

Ask and answer simple questions about charts and graphs.

half a turn (total 180°).

Use the properties of rectangles to find missing lengths and angles.

Geometry – position and direction Understand the properties of regular and irregular polygons.

Identify, describe and represent the position of a shape on a graph.

Statistics Complete, read and interpret information in tables, including timetables.

Compare and 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, including 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.

Geometry – Position and direction Describe positions on the full coordinate grid (all four quadrants).

Statistics Interpret pie charts and line graphs to solve problems.

Calculate and interpret the mean as an average.

Skills Reception – Early Learning Goals: 40-60 months – Numbers Counts up to three or four objects by saying one number name for each item.

Counts actions or objects which cannot be moved.

Counts objects to 10, and beginning to count beyond 10.

Counts out up to six objects from a larger group.

Counts an irregular arrangement of up to ten objects.

Finds the total number of items in two groups by counting all of them.

Begins to identify own mathematical problems based on own interests and fascinations.

40-60 months – Shape, space & measures Selects a particular named shape.

Orders two or three items by length or height.

Orders two items by weight or capacity.

Uses familiar objects and common shapes to create and recreate patterns and build

Year 1:

Year 2:

Year 3:

Year 4:

Year 5:

Year 6:

Number - Number and Place Value Count to 100.

Count backwards from 100.

Read and write to 100 Identify 1 more and 1 less.

Number - Number and Place Value Count in steps of 2, 3, and 5. Count in 10s from any number forwards.

Compare and order numbers from 0 up to 100 (using <, > and = signs).

Read and write numbers to 100 in numerals and in words.

Solve problems using concrete objects and pictorial representations.

Solve problems using mental and written methods.

Number - Number and Place Value Count from 0 in multiples of 4, 8, 50 and 100.

Compare and order numbers to 1000.

Identify, represent and estimate numbers.

Solve numbers problems with 30digit numbers.

Number - Number and Place Value Count in multiples of 6, 7, 9, 25 and 1,000.

Count backwards through 0.

Recognise the place value of each digit in a four-digit number.

Order and compare numbers beyond 1,000.

Identify, represent and estimate numbers to 1,000.

Round any number to the nearest 10, 100 or 1,000.

Solve numbers and practical problems.

Read Roman numerals to 100 (I to C).

Number - Number and Place Value Count forwards or backwards in steps of powers of 10.

Read Roman numerals to 1,000 (M).

Write Roman numerals to 1,000 (M).

Recognise years written in Roman numerals.

Establish whether a number up to 100 is prime and recall prime numbers up to 19.

Number - Number and Place Value Read, write, order and compare numbers up to 10 000 000.

Know the value of each digit in an eight-digit number.

Use negative numbers in context, and calculate intervals across zero.

Solve number and practical problems.

Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy.

Number – addition and subtraction Read and write mathematical sentences for + and -.

Add and subtract numbers to 20.

Solve one-step problems that involve addition and subtraction.

Number – multiplication and division Count in multiples of 2, 5 and 10.

Solve one step problems.

Number – addition and subtraction Add a two-digit number and a onedigit number together.

Subtract a two-digit number and one- digit number.

Add a two-digit and 10s.

Subtract a two-digit number and 10s.

Add 2 two-digit numbers together.

Subtract 2 two-digit numbers.

Number – multiplication and division Calculate mathematical

Number – addition and subtraction Add and subtract 3-digit numbers.

Add and subtract a 3digit by a 2-digit number.

Add numbers up to 3digits using written methods.

Estimate and use inverse operations Solve missing number problems.

Number – multiplication and division Solve division problems.

Number - Fractions Count up and down in tenths.

Subtract fractions with the same denominator.

Solve problems using fractions.

Number – addition and subtraction Add numbers with up to 4 digits using written methods.

Subtract numbers with up to 4 digits using written methods.

Solve addition & subtraction two-step problems.

Number – multiplication and division Recognise and identify factor pairs.

Multiply two-digit

Number – addition and subtraction Use rounding to estimate and check.

Number – multiplication and division Identify multiples and factors.

Recognise and use square and cube numbers, and the notation for squared (²) and cubed (³).

Number – Fractions (including decimals and percentages) Compare and order fractions whose denominators are all multiples of the same number.

Identify, name and write equivalent fractions of a

Number – Addition, Subtraction, Multiplication and Division Interpret remainders as whole number remainders, fractions, or by rounding, as appropriate for the context.

Perform mental calculations, including with mixed operations and large numbers.

Identify common factors, common multiples and prime numbers.

Solve addition and subtraction multi-step problems in contexts,

models.

Orders and sequences familiar events.

Measures short periods of time in simple ways.

Early Learning Goals Number Subitise (recognise quantities without counting) up to 5;

Early Learning Goals – Numerical Patterns Verbally count beyond 20, recognising the pattern of the counting system.

Compare quantities up to 10 in different contexts, recognising when one quantity is greater than, less than or the same as the other quantity.

statements for multiplication and division: using ×, ÷ and =.

Measurement: Measure lengths.

Measure mass.

Measure capacity.

Add lengths and subtract length.

Add and subtract mass.

Add and subtract capacity.

Add and subtract amounts of money.

and three-digit numbers by a onedigit number using formal written layout.

given fraction.

Recognise mixed numbers and improper fractions and convert from one form to the other.

Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents.

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

Recognise the % symbol and understand that per cent means ‘number of parts per 100’.

deciding which operations and methods to use and why.

Measurement Find the area of rectilinear shapes by counting squares.

Solve problems involving converting from hours to minutes, minutes to seconds, years to months, weeks to days.

Measurement Convert between different units of metric measure. [cm and m; am and mm; g and kg; l and ml].

Use equivalences between metric units and common imperial units [inches, pounds and pints].

Estimate volume and capacity [1 cm³].

Read and write the time of analogue and digital clocks. Use all four operations to solve problems involving measure [for example, length, mass, volume, time, money].

Number – Fractions (including decimals and percentages) Use common factors to simplify fractions; use common multiples to express fractions in the same denomination.

Add and subtract fractions with different denominators and mixed numbers, using the concept of equivalent fractions.

Multiply simple pairs of proper fractions, writing the answer in its simplest form [for example, ¼ × ½ = 1/8 ].

Divide proper fractions by whole numbers [for example, 1/3 ÷ 2 = 1/6].

Multiply and divide numbers by 10, 100 and 1000 giving answers up to three decimal places.

Multiply one-digit numbers with up to two decimal places by whole numbers.

Use written division methods in cases where the answer has up to two decimal places.

Solve problems which require answers to be rounded to specified degrees of accuracy.

Geometry – position and

Geometry – properties

Ratio and Proportion

Number – Fractions (including decimals) Count up and down in hundredths.

Solve problems involving increasingly harder fractions to calculate quantities.

Add and subtract fractions with the same denominator.

Recognise and write decimals (Tenths or hundreds).

Divide a one- or twodigit number by 10 and 100.

Solve simple measure and money problems involving fractions and decimals to 2 decimal places.

direction Describe positions on a 2-D grid as coordinates in the first quadrant.

Plot specified points and draw sides to complete a given polygon.

Statistics Solve problems in relation to bar charts, pictograms, tables and other graphs.

of shape Identify 3-D shapes, including cubes and other cuboids, from 2-D representations.

Estimate and compare acute, obtuse and reflex angles.

Draw given angles, and measure them in degrees (°).

Explain the angle around one whole turn is 360°. Explain the angles at a point on a straight line and half a turn (total 180°).

Use the properties of rectangles to find missing lengths and angles.

Geometry – position and direction Understand the properties of regular and irregular polygons.

Identify, describe and represent the position of a shape on a graph.

Statistics Complete, read and interpret information in tables, including timetables.

Solve problems involving the relative sizes of two quantities where missing values can be found by using integer multiplication and division facts.

Solve problems involving the calculation of percentages [for example, of measures, and such as 15% of 360] and the use of percentages for comparison.

Solve problems involving similar shapes where the scale factor is known or can be found.

Algebra Find pairs of numbers that satisfy an equation with two unknowns.

Enumerate possibilities of combinations of two variables.

Measurement 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.

Calculate the area of parallelograms and triangles.

Geometry – Properties of shapes Draw 2-D shapes using given dimensions and angles.

Build simple 3-D shapes, including making nets.

Geometry – Position and direction Draw and translate simple shapes on the coordinate plane, and reflect them in the axes.

Statistics Construct pie charts and line graphs and use these to solve problems.