Trips:
Real Life Maths and Maths through story trips (Bank visits, Shop visits, estate agents etc.)
The Southfield Mathematician
Enrichment experiences: 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 (����3 ) and cubic metres (��3), and extending to other units [for example, ����3and ����3].
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.
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: 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
Vocabulary
Year 2: 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
Year 3: 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
Year 4: 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
Year 5:
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
Year 6:
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
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
Story Based Curriculum
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
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
Enrichment experiences
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
Knowledge
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
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
Year 1:
Number - Number and Place Value
Count to 100.
Count backwards from 100.
Read and write to 100.
Identify 1 more and 1 less.
Number – addition and subtraction
Use numbers bonds to 20.
Number - Fractions
Recognise half.
Recognise a quarter.
Measurement
Understand lengths
Year 2:
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 – addition and subtraction
Recall and use addition and subtraction facts to 20 fluently.
Year 3:
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 – addition and subtraction
Estimate and use inverse operations
Number – multiplication and division
Multiplication facts for
Year 4:
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 – 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
Year 5:
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
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
one more than a given 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
and heights. 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.
Recognise and use the 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 Fractions 1 3 1 4 2
and 3 4 Write simple fractions, for example 1 2 of 6 = 3 Recognise the equivalence of 2 4 and 1
. Choose and use appropriate standard units to estimate and measure.
3, 4 and 8. 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.
identify factor pairs. 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
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.
prime and recall prime 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.
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.
Measurement
Compare and order lengths, mass, volume/capacity and record the results using >, < and =.
Statistics
Understand and present data using bar charts
Understand present data using pictograms
Understand and present data using tables.
Read and write time on a 24- hour clock.
Convert time between analogue and digital 12- and 24-hour clocks. Geometry
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.
Recall and use equivalences between simple fractions, decimals and percentages, including in different contexts.
Ratio and Proportion Solve problems involving unequal sharing and grouping
4
2
1 4 1 2 and 3 4 .
– properties
bonds up to 5 (including 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.
Recognise and use 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
of shape
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.
Recognise the % symbol 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
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 (����3 ) and cubic metres (��3), and extending to other units [for example, ����3and ����3].
Geometry – Properties of shapes
combinations of 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.
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.
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.
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
Year 1:
Number - Number and Place Value
Count to 100. Count backwards from 100.
Read and write to 100 Identify 1 more and 1 less.
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.
Year 2:
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 – 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.
Year 3:
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 – 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.
Year 4:
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 – 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.
Year 5:
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 – 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).
Year 6:
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
Number – multiplication
Subtract fractions with the same denominator. Solve problems using
Number – multiplication and division
Recognise and identify
Number – Fractions (including decimals and percentages)
Compare and order fractions whose denominators are all multiples of the same number.
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
create and recreate patterns and build 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.
and division
Calculate mathematical statements for multiplication and division: using ×, ÷ and =.
fractions.
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.
factor pairs. Multiply two-digit and three-digit numbers by a onedigit number using formal written layout. 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.
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.
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 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].
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.
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
Solve problems in relation to bar charts, pictograms, tables and other graphs.
Geometry – properties 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.
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.
