Maths Curriculum

Illustration of cone, cube, scale and ruler

Year 3

Week 1

Number and Place Value

  • To recognise the place value of each digit in a three digit number
  • To write numbers up to a 1000 using digits
  • To write numbers up to a 1000 using words
  • To use part, part whole to partition numbers in different ways
  • Mental maths To identify what odd or even number comes after a given number e.g. What odd number comes before 301? What are the next four even numbers after 196?

 

Vocabulary

  • hundreds, tens, ones, place value, digit, position, thousand, partition, odd, even, after, before, next

Week 2

Addition

  • To use a number line for addition with partitioning
  • To add three digit numbers with no regrouping
  • To add three digit numbers with regrouping in the ones place value column
  • To add three digit numbers regrouping in the tens and one’s place value columns 
  • Mental maths To count on in multiples of 4 using number bondsAdding 4 is the same as adding 3 then 1 or 2 then 2 or 1 then 3

 

Vocabulary

  • add, plus, partition, place value, thousands, hundreds, tens, ones, regroup, column, more than, count forwards, count on, multiples, steps of, between

Week 3

Subtraction

  • To count back to find the difference using a number line
  • To subtract three digit numbers with no exchanging
  • To subtract three digit numbers with exchanging from tens to one’s
  • To subtract three digit numbers with exchanging across all place value columns
  • Mental maths To count on in multiples of 8. Show how to use number bonds to help. Adding 8 is same as adding 7 then 1 or 6 then 2  or 5 then 3 or 4 then 4 or vice versa

 

Vocabulary

  • subtract, difference, take away, number line, exchange, less than, fewer, multiples, steps of, count backwards, between

Week 4

Multiplication

  • To use number bonds to identify factors and products (knowing what  are factors and products) – E.g. 5 x 4  = 20, so 4 x 5 = 20
  • To recognise how place value changes with multiplying by 10
  • To demonstrate two digit by one digit multiplication using the grid method
  • To demonstrate two digits by one digit multiplication moving from grid method to expanded multiplication
  • Mental maths To count in multiples of 50

 

Vocabulary

  • number bonds, factors, product, equals, same as, place value, ten times larger, ones, tens, hundreds, partition, multiply, times, lots of, expanded, multiples, forwards, backwards

Week 5

Division

  • To use number bonds to identify factors, multiples and products, using multiples of 2, 3, 4, 5, 8 and 10
  • To recognise how place value changes when dividing by 10
  • To divide a two digit number by a one digit number (no remainders)
  • To divide a two digit by a one digit number with some remainders
  • Mental maths To count in multiples of 100

 

Vocabulary

  • number bonds, factors, multiples, products, place value, divide, ten times smaller, remainder, exchange, digit, bus-stop, forwards, backwards, count on, hundred

Week 6

Fractions

  • To identify unit fractions of objects, shapes and length
  • To identify non-unit fractions of objects, shapes and length
  • To compare fractions that share the same denominator
  • To order fractions in ascending and descending order with same denominator
  • Mental maths To count forwards and backwards by 10

 

Vocabulary

  • unit fractions, non-unit object, shape, length, numerator, denominator, one whole, one half, one quarter, one third, one fifth, one sixth, one seventh, one eighth, equal parts, largest, smallest, greater than, less than, bigger, halfway, ascending, descending, count forwards, count backwards, ten

Week 7

Measurement  Time 

  • To explain each roman numeral up to 20
  • To tell and write the time from analogue clocks
  • To tell and write the time from digital clocks
  • To match and convert between digital and analogue clocks
  • Mental maths To count forwards backwards by 100

 

Vocabulary

  • unit fractions, non-unit object, shape, length, numerator, denominator, one whole, one half, one quarter, one third, one fifth, one sixth, one seventh, one eighth, equal parts, largest, smallest, greater than, less than, bigger, halfway, ascending, descending, count forwards, count backwards, ten

Week 1

Measure – Time

  • Recap – To tell and write the time from analogue clocks
  • Recap – To tell and write the time from digital clocks
  • Recap – To match and convert between digital and analogue clocks
  • Mental maths To identify the next number in a sequence

 

Vocabulary

  • minute (long) hand, hour (short) hand, analogue, past, to, half, quarter, digital, noon, am, pm, 12-hour, 24-hour, morning, evening, afternoon, minutes, hours, midnight

Week 2

Fractions

  • To recognise tenths arise from dividing an object into ten equal parts
  • To count up and down in tenths
  • To recognise equivalent fractions
  • To calculate fractions of a quantity
  • Maths assessment

 

Vocabulary

  • unit fractions, object, shape, length, numerator, denominator, one whole, one half, one quarter, one third, one fifth, one sixth, one seventh, one eighth, tenth equal parts, steps of, equivalent, groups

Week 3

Geometry – Shape

  • To identify horizontal, vertical lines and pairs of perpendicular and parallel lines
  • To identify different types of angle
  • To describe the properties of 2-D shapes
  • To draw a range of 2-D shapes
  • Mental maths To calculate quickly pairs of multiples of 5 that total 100

 

Vocabulary

  • horizontal, vertical, parallel, perpendicular, sides, right angle, acute angle, obtuse angle, degrees, smaller, greater, straight line, quadrilateral, circle, triangle, octagon, pentagon, hexagon, semi-circle, equal, pairs of, more, two dimensional

Week 4

Statistics

  • To interpret data presented in a table
  • To interpret data presented in a pictogram
  • To interpret data presented in a bar chart
  • To classify shapes, numbers and objects into a Venn diagram
  • Mental maths To add pairs of multiples of 100 that make 1000 as well as cross 1000

 

Vocabulary

  • data, frequency, tally, chart, row, column, most of, same amount, equal, more, less, most, least, total, how many, multiple, hundred, thousand, pairs of

Week 5

Measurement – Length and Mass

  • To recognise place value of different measures
  • To measure and compare lengths in m, cm and mm (using rulers or tapes
  • To measure and compare mass in kg and g
  • To convert between units of length – m, cm and mm
  • To convert between units of mass – kg and grams
  • Mental maths To add 3 digit numbers and one using number bond facts e.g. 482 + 9 = 480 + 8 + 1 or 611 + 7 = 611 + 4 + 3

 

Vocabulary

  • measure, millimetre, centimetre, metre, longest, shortest, mass, kilogram, gram, scale, interval, lighter, heavier, addition

Week 6

Measurement – Volume capacity

  • To convert between units of mass –  kg and grams
  • To measure and compare volume and capacity
  • To convert between units of volume and capacity
  • To solve capacity problems using both addition and subtraction
  • Mental maths To subtract 3 digit numbers and ones using number bond facts e.g. 345 – 7 = 345 – 5 – 2. 518 – 9 = 518 – 8 – 1

 

Vocabulary

  • mass, kilogram, gram, heaviest, lightest, scale, interval, capacity, volume, millilitre, scale, millilitre, litre, container, holds, subtract

Week 7

Number and place value

  • To compare and order three digit numbers
  • To identify, draw and estimate amounts on a number line
  • To round numbers to the nearest 10 or 100 using a number line
  • Mental maths To add and subtract 3 digit numbers and ones using number bond facts

 

Vocabulary

  • smallest, largest, bigger, smaller, hundreds, tens, ones, greater than >, less than <, scale, interval, estimate, approximately, close to, nearest, round up, round down, addition, subtracting

Week 1

Four operations

  • To use multiplication and division to scale by integers context volume & capacity
  • To solve measurement problems using both addition and subtraction in the context of length
  • To use multiplication and division to scale by integers – context length
  • To solve measurement problems using both addition and subtraction in the context of mass

 

Vocabulary

  • scaling up, scaling down, multiply, divide, kilogram , gram, litre, millilitre, metre, centimetre, millimetre, add, subtract, difference, total, tall, short, heavier, lighter

Week 2

Addition and subtraction

Model estimation throughout the two weeks to build on the first lesson

  • To use estimation to check the accuracy of addition and subtraction
  • To use the inverse to check calculation
  • To add three digit numbers regrouping across all place value columns
  • To subtract three digit numbers exchanging across all place value columns
  • Mental maths To add two digit multiple of tens to three digit numbers e.g. 285 + 9. First 85 + 9, which is like 85 +5 + 4. So 285 + 9 = 294

 

Vocabulary

  • approximately, closest to, round up, round down, nearest, add, subtract, calculation, plus, partition, place value, thousands, hundreds, tens, ones, regroup, column, more than, exchange

Week 3

Addition and subtraction

  • To develop and recognise patterns in addition
  • To develop and recognise patterns in subtraction
  • To use addition and subtraction to solve one step word problems
  • To use addition and subtraction to solve one and two step word problems
  • Mental maths To subtract two digit multiple of tens from three digit numbers. Make links to number bonds. e.g. 260 -80 is like 26 – 8 or 26 – 6 – 2 therefore 260 – 80 = 180

 

Vocabulary

  • subtract, difference, take away, number line, exchange, fewer, multiples, steps of, count backwards, between, annotation, sum, total, difference, more, left, column, exchange, hundreds, tens, ones

Week 4

Multiplication 

  • To identify factors of numbers up to 50
  • To recognise how place value changes when multiplying and dividing by 10
  • To carry out short multiplication (expanded method)
  • To carry out short multiplication with regrouping (moving away from expanded)
  • Mental maths To add multiples of one  hundred from three digit numbers

 

Vocabulary

  • factors, product, equals, same as, place value, ten times larger/smaller, ones, tens, hundreds, partition, multiply, times, lots of, expanded, multiples, forwards, backwards, expanded, column, multiples, annotate

Week 5

Division

  • To divide a two digit by a one digit number with remainders and exchanging in the ones column e.g.  82 divide by 4
  • To divide two digits by a one digit number with remainders and exchanging in multiple place value columns. e.g. 57 divide by 3
  • To solve measuring and scaling problems (multiplication and division)
  • To solve one step multiplication and division word problems
  • Mental maths To subtract multiples of one hundred from three digit numbers

 

Vocabulary

  • remainder, exchange, digit, bus-stop, divisor, scale up, scale down, share, equal, identical, annotate, multiply

Week 6

Fractions

  • To compare fractions with different denominators
  • To order fractions with different denominators
  • To add like fractions
  • To subtract like fractions
  • Mental maths To use partitioning to add three and two digit numbers. e.g.55 + 37 = 55 + 30 + 7

 

Vocabulary

  • smaller, larger, numerator, denominator, greater than >, less than <, bigger, half as long, third as long, like fractions, unlike fractions, plus, add, subtract, minus, partition

Week 1

Fractions

  • To identify non-unit fractions of objects, shapes and length
  • To recognise equivalent fractions
  • To calculate fractions of a quantity
  • Maths assessment

 

Vocabulary

  • numerator, denominator, fraction of, parts, equivalent, equal, fraction bar, fraction of, divide, multiply

Week 2

Geometry – Shape

  • To solve one and two step problems involving fractions
  • To construct 3-D shapes using modelling materials
  • To recognise 3-D shapes in different orientations
  • To recognise angles as a description of a turn
  • To identify and describe symmetrical and non-symmetrical polygons ad polyhedral

 

Vocabulary

  • fraction of, numerator, denominator, total, bar, equal, total, half of, quarter, fifth, third, 3-D, rows, cube, cuboid, tetrahedron, square based pyramid, prism, sphere, circular, vertices, edges, faces, triangular, surface, octagonal, hemisphere, pentagonal, heptagonal, octahedron, pentagons, clockwise, right angle, half turn, quarter turn, three-quarter turn, anti-clockwise

Week 3

Statistics

  • To solve one and two step problems using data recorded in a  table
  • To solve one and two step problems using data recorded in  bar charts
  • To solve one and two step problems using data recorded in pictograms
  • To organise shapes, numbers and objects into a Carroll diagram
  • Mental maths To use partitioning to subtract three and two digit numbers e.g. 365 – 42 is 60 – 40 and 5 – 2 giving an answer of 323

 

Vocabulary

  • frequency, many more, many fewer, twice as many, many left, total, table, bar chart, altogether, most, least, half as many, pictogram, key, row, column, organise, sort, jotting, subtract, minus, partition, place value

Week 4

Measurement – Money

  • To recognise and use coins and notes to compare amounts (Will involve converting between pounds and pence)
  • To select different combinations of coins to make the same amounts of money e.g. What is the smallest number of coins I could use to make 80p? I have 5 coins that make £1.35. What could they be?
  • To solve money problems that involves finding the total
  • To calculate the change given in £ and p
  • Mental maths To add and subtract two and three digits that bridge through multiples of 10 and 100 e.g. 57 + 13 = 57 + 3 + 10 or 342 – 8 = 342 – 2 – 6

 

Vocabulary

  • pence, pounds, twenty, ten, five, fifty, notes, coins, smallest, largest, most, least, total, add, subtract, change, left over, multiple, ten, hundred

Week 5

Measurement – Time

  • To tell and write the time in both analogue and digital clocks
  • To identify the number of days in each month, years and leap year. Teach pupils knuckle trick for remembering
  • To compare time in seconds, minutes and hours
  • To calculate and compare duration of events
  • Mental maths To use compensation when adding and subtracting E.g. 53 + 11 = 53 + 10 + 1 or 70 – 9 = 70 – 10 + 1

 

Vocabulary

  • minute (long) hand, hour (short) hand, analogue, past, to, half, quarter, digital, noon, am, pm, 12-hour, 24-hour, morning, evening, afternoon, minutes, hours, count forwards, count backwards, hundreds, midnight, leap year, earlier, spring, autumn, summer, winter

Week 6

Number and Place Value

  • To count up and down in 10 and 100
  • To write numbers as words and vice versa
  • To compare and order a three digit numbers
  • To solve a range of number and place value problems
  • Mental mathsTo identify doubles of multiples of 5. e.g. 30 + 30 or 85 + 85

 

Vocabulary

  • count up, count down, ten, multiple, steps of, less than, more than, hundred, even, odd, digits, thousands, shortest, difference, place value, ones, least, most, double, multiply by 2, add twice

Week 1

Four operations – context measurement

  • To measure and calculate perimeter of 2-D shapes
  • To use multiplication and division to scale by integers – context mass
  • To convert between different units of measure
  • To identify fractions of measures

 

Vocabulary

  • perimeter, centimetre, addition, 2-D, millimetre, scale, kilogram, gram, mass fewer, as much, thousand, hundred, ten, one, litre, millilitre, centimetre, metre, millimetre, quarter, half, three-quarter, fraction of, divide

Week 2

Addition and subtraction 

  • To use estimation when solving three digit addition and subtraction with regrouping/exchanging
  • To solve missing number addition and subtraction word problems
  • To use reasoning to explain misconceptions in addition and subtract  column method
  • To solve one and two step addition and subtraction word problems
  • Mental maths To add using near doubles e.g. 19 + 20 = 20 + 20 – 1

 

Vocabulary

  • approximately, closest to, round up, round down, nearest, add, subtract, calculation, , plus, partition, place value, thousands, hundreds, tens, ones, regroup, column, more than, exchange, double

Week 3

Multiplication and division

  • To use estimation when solving three digit by one digit short multiplication (no expanded)
  • To use estimation when solving bus stop division (including remainders)
  • To solve one and two step multiplication and division problems
  • To demonstrate when to round up or down depending on context when multiplying and dividing

 

Vocabulary

  • product, hundreds, partition, multiply, times, lots of, multiples, column, multiples, annotate, remainder, exchange, digit, bus-stop, divisor, equal, multiply, round up, round down

Week 4

Multiplication and division 

  • To use distributive property strategy to divide ‘friendly’ numbers
  • To solve missing number multiplication and division problems
  • To use reasoning to explain misconceptions in multiplication and division column method
  • Mental maths To multiply a number by 10 or 100
  • Mental maths To divide a number by 10 or 100

 

Vocabulary

  • distributive, partition, multiply, times, lots of, multiples, column, error, multiples, annotate, remainder, exchange, digit, bus-stop, divisor, equal, multiply, round up, round down, justify, prove, ten times, hundred times, larger, smaller, scale up, scale down

Week 5

Fractions 

  • To count up and down in halves, quarters and thirds, identifying  missing fractions on a number line or in a sequence
  • To identify fractions that are between two numbers e.g. What fraction is half way between 3 and 4? What fraction is in between 5 and 5 and 1/2? What fractions could be between 7 and 8?
  • To recognise equivalent fractions
  • To compare and order fractions
  • Mental maths To subtract numbers that are close together using counting on e.g. 500 – 488 = 488 + 12

 

Vocabulary

  • forwards, backwards, half, quarters, third, fifths, order, sequence, between, whole, equivalent, equal part, divided into, larger, smaller, minus, take away

Week 6

Fractions

  • To identify unit and non-fractions of objects, shapes and length
  • To add and subtract like fractions
  • To calculate fractions of a quantity
  • To solve a range of problems involving fractions
  • Mental maths To use times table facts to divide mentally

 

Vocabulary

  • forwards, backwards, half, quarters, third, fifths, order, sequence, between, whole, equivalent, equal part, divided into, larger, smaller, minus, take away

Week 1

Geometry – Shape

  • To identify horizontal, vertical lines and pairs of perpendicular and parallel lines
  • To identify different types of angle
  • To identify lines of symmetry in regular and irregular 2-D shapes
  • Maths assessment

 

Vocabulary

  • horizontal, vertical, parallel, perpendicular, sides, right angle, acute angle, obtuse angle, degrees, smaller, greater, straight line, quadrilateral, circle, triangle, octagon, pentagon, hexagon, semi-circle, equal, pairs of, more, two dimensional, mirror, symmetrical, equal, regular, irregular

Week 2

Geometry – Position and Direction

  • To measure and calculate perimeter of 2-D shapes
  • To describe the position on a 2-D grid as coordinates
  • To describe movements of coordinates on a grid as translations (left, right, up and down/ NSEW)
  • To plot specific points on a quadrant
  • To draw simple symmetric patterns and shapes across a mirror line

 

Vocabulary

  • perimeter, centimetre, addition, 2-D, above, below, origin, coordinate, x axis, y axis, horizontal, vertical, north, south, east, west, up, down, left , right, line of symmetry, mirror line, reflection

Week 3

Measurement – Money

  • To select different combinations of coins to make the same amounts of money e.g. What is the smallest number of coins I could use to make 80p? I have 5 coins that make £1.35 What could they be?
  • To solve money problems that involves finding the total
  • To calculate the change given in £ and p
  • To solve a range of one and two step word problems involving money
  • MM To use times table facts to divide mentally

 

Vocabulary

  • pence, pounds, twenty, ten, five, fifty, notes, coins, smallest, largest, most, least, total, add, subtract, change, left over, multiple, ten, hundred, times table, recall, apply, fact, ten times larger, ten times smaller

Week 4

Measurement – Length, Mass and Volume

  • To measure and compare lengths in m, cm and mm (using rulers or tapes)
  • To compare and measure mass in kg and g
  • To measure and compare volume and capacity
  • To convert between units of length, mass and volume
  • MM To double and halve two  and three digit numbers

 

Vocabulary

  • interval, millimetre (mm), centimetres (cm), metres (m), largest, smallest, < less than, > greater than, grams (g), kilograms (kg), mass, heaviest, lightest, millilitres (ml), litres (L), multiply, divide, 10, 100, 1000, double, multiply by 2, halve, divide by 2

Week 5

Measurement – Length, Mass and Volume

  • To calculate fractions of measures
  • To solve addition and subtraction problems in the context of LMV
  • To use multiplication and division to scale by integers – context LMV
  • To solve multi-step problems using four operations

 

Vocabulary

  • quarter, half, three quarters, tenths, fifths, millilitres, litres, metres, centimetres, millimetres, grams, kilograms, total, difference, more than, less than, lots of, shared equally, stops of, annotate

Week 6

Measurement – Time

  • To compare time written in both analogue and digital clocks
  • To convert between the days months and years
  • To convert between time in seconds, minutes and hours
  • To calculate and compare duration of events
  • MM To divide by 4 and 8 using halving

 

Vocabulary

  • minute (long) hand, hour (short) hand, analogue, past, to, half, quarter, digital, noon, am, pm, 12-hour, 24-hour, morning, evening, afternoon, minutes, hours, count forwards, count backwards, halving twice, halving three times

Week 7

Statistics

  • To  record and interpret  data in a table (Pupils put their own/class / given data into a bar chart)
  • To record and interpret data in a bar chart (Pupils put their own/ class/ given data into a bar chart)
  • To record and interpret data in a pictogram (Pupils put their own/ class/given data into a bar chart)
  • To record and interpret data in a Carroll Diagram (Pupils put their own/ class/given data into a bar chart)
  • MM To multiply by 4 and 8 using doubling

 

Vocabulary

  • frequency, many more, many fewer, twice as many, many left, total, table, bar chart, altogether, most, least, half as many, pictogram, key, row, column, organise, sort, doubling twice, doubling three times
fractions

Autumn 1

  • Number and place value
  • Addition 
  • Subtraction
  • Multiplication
  • Division
  • Fractions
  • Time
measurement

Autumn 2

  • Fractions 
  • Geometry – shape
  • Statistics
  • Length and mass
  • Volume and capacity
  • Number and place value
  • Four operations in the context of problem solving
addition-subtraction

Spring 1

  • Addition and subtraction
  • Multiplication
  • Division
  • Fractions
money

Spring 2

  • Geometry – shape
  • Statistics
  • Money
  • Time
  • Number and place value
  • Four operations in the context of measurement
geometry

Summer 1

  • Addition and subtraction
  • Multiplication and division
  • Fractions
  • Geometry – shape
stop-watch

Summer 2

  • Geometry – position and direction
  • Money
  • Length, Mass & Volume
  • Statistics
  • Time

Year 4

Week 1

Number and Place Value

  • To recognise the place value of each digit in a four digit number
  • To write numbers beyond a 1000 using digits and words
  • To calculate 10, 100 or 1000 more or less than any given number
  • To compare and order numbers beyond 1000
  • MM To count in multiples of 6,7 and 9

 

Vocabulary

  • ones, tens, hundreds, thousands, value, digit, biggest, smallest, largest, more than, less than, steps of, forward, backwards, < less than, > more than, least, multiples, between

Week 2

Addition and Subtraction

  • To add four digit numbers with no regouping
  • To subtract four digit numbers with no exchanging
  • To add four digits numbers with regrouping in one or two place value columns
  • To subtract four digit numbers with exchanging in one or two place value columns
  • MM To add and subtract multiples of ten mentally

 

Vocabulary

  • column, aligned, ones, tens, hundreds, thousands, total, regroup, exchange, difference, multiples, partition

Week 3

Addition and subtraction

  • To add four digit numbers with regrouping in multiple place value columns
  • To subtract with numbers that have zero in multiple place value columns E.g. 5000 – 374
  • To add decimals up to two decimal places
  • To subtract decimals up to two decimal places
  • MM To add and subtract using partitioning

 

Vocabulary

  • column, aligned, ones, tens, hundreds, thousands, total, regroup, exchange, difference, multiples, partition, tenths, hundredths, decimal point

Week 4

Multiplication

  • To multiply by 10, 100 and 1000
  • To multiply three digit numbers by a one digit number using short multiplication
  • To multiply two digit by two digit numbers
  • To recognise factor pairs of a number
  • MM To recognise what happens when multiplying and dividing by 1 and 0

 

Vocabulary

  • ten, hundred, thousand, times bigger, column, align, regroup, factor, divide, whole number, multiple, zero

Week 5

Division

  • To use number bonds to identify factor and products (solving missing number sentences)
  • To divide by 10, 100 and 1000
  • To divide a two digit number using short division (including remainders, no exchanging)
  • To divide three digit numbers using short division, including exchanging and remainders
  • MM To use times table facts to multiply and divide mentally

 

Vocabulary

  • dividend, divisor, quotient, inverse, product, factor, multiple, ten, hundred, thousand, decimal point, digit, place value, smaller, larger, bus stop, exchange, remainder, ones tens, hundreds, partition

Week 6

Fractions and Decimals

  • To use factors and multiples to recognise equivalent fractions
  • To simplify fractions
  • To compare fractions
  • To calculate fractions of amounts
  • MM To count forwards or backwards in steps of fractions

 

Vocabulary

  • half, third, quarter, fifth, tenth, equivalent, equal, parts, divide, scale down, larger, smaller, numerator, denominator, steps of, hundredths, forwards, backwards

Week 7

Measurement – Time

  • To tell and write the time on an analogue clock
  • To convert time between analogue and digital clocks
  • To convert between hours, minutes and seconds
  • To convert between days, weeks, months and years
  • MM To identify how many days are in each month of the year

 

Vocabulary

  • analogue, digital, minute hand, hour hand, quarter past/to, half past, ten past/to, five past/to, twenty past/to, 12 hour, 24 hour, am, pm, days, months, years, leap year, weeks

Week 1

Fractions and decimals

  • To add like fractions
  • To subtract like fractions
  • To recognise and write decimal equivalents of tenths
  • To compare and order decimals up to 2DP

 

Vocabulary

  • numerator, denominator, improper, mixed number, half, quarters, thirds, fifths, tenths, eighths, minus, decimal, equal, equivalents, more than >, less than <, between, decimal place

Week 2

Geometry – Shape

  • To classify a range of regular and irregular polygons
  • To classify different triangles
  • To classify different quadrilaterals
  • To identify lines of symmetry in 2-D shapes presented in different orientations
  • Maths assessment

 

Vocabulary

  • regular, irregular, sides, angles, right angle, square, triangle, rectangle, pentagon, hexagon, octagon, heptagon, scalene, isosceles, equilateral, rhombus, parallelogram, kite, trapezium, opposite, symmetrical, vertical, horizontal, reflection, mirror

Week 3

Statistics

  • To interpret data recorded in a table
  • To interpret and present data in a  bar chart
  • To interpret and present data in a pictogram
  • To intrepret and present data on a time graph
  • MM To subtract mentally using counting on

 

Vocabulary

  • data, most, least, popular, how many, bar, column, tallest, x axis, y axis, interval, fewest, total, represents, half, quarter, continuous. number line, counting up, counting down, partition, tens, hundreds, thousands, steps

Week 4

Measurement Length and Mass

  • MM – To multiply and divide by 10, 100 and 1000
  • To estimate, compare and calculate measures using rulers or tapes
  • To convert between different units of length
  • To read analogue and digital scales to find the mass of an object
  • To convert between different units of mass

 

Vocabulary

  • ten, hundred, thousands,  divided by, multiplied by larger, smaller, places, place value, tenths, hundredths, estimate, length, mass, capacity, convert, centimetres, millimetres, metres, kilograms, grams, litres, millilitres, kilometres, intervals, scale

Week 5

Measurement – Volume and Capacity

  • To solve four operation problems that involve length and mass
  • To estimate, compare and measure the capacity and volume using intervals
  • To convert between litres and millilitres
  • To solve four operation problems that involve volume and capacity
  • MM To use time table facts to multiply and divide mentally

 

Vocabulary

  • centimetres, metres, millimetres, grams, kilograms, annotate, total, difference, shared, lots of, equal, litres, millilitres, intervals, annotate, litres, millilitres, multiplication, division, multiples, factors, ten times, hundred times, bigger, smaller

Week 6

Measurement – Perimeter and Area

  • To calculate the perimeter of rectangles and squares
  • To calculate the area of a shapes by counting the number of squares
  • To calculate the area of squares and rectangles
  • To make comparisons between the perimeter and area
  • MM To estimate a range of measures

 

Vocabulary

  • distance, centimetres, metres, difference, width, length, multiply, sides, square centimetres, area, total, larger, smaller, rows, columns, estimate, grams, kilograms, centimetres, millimetres, metres, litres, millilitres, capacity, mass, volume, scale, height, nearest

Week 7

Four Operations Context of Problem Solving MWV

  • To add and subtract  four digit numbers where there is re-grouping in multiple place value columns
  • To multiply three digits by a one digit number (short multiplication)
  • To multiply two digit by two digit numbers (short multiplication)
  • To divide three digit by one digit numbers including remainders and exchanging

 

Vocabulary

  • column, add, addition, more than, less than, subtract, take away, minus, regroup, exchange, ones, tens, hundreds, thousands, ones, tens, decimal, multiply, lots of, bigger than, times, bus stop, divide, split into, Regular, irregular, sides, angles, right angle, square, triangle, rectangle, pentagon, hexagon, octagon, heptagon, scalene, isosceles, equilateral, rhombus, parallelogram, kite, trapezium

Week 1

Number and Place Value

  • To compare and order numbers beyond 1000
  • To round any number to the nearest 10, 100 and 1000
  • To estimate and round numbers in the context on measurement
  • To identify and count in negative numbers

 

Vocabulary

  • largest, smallest, greater than >, less than <, larger than, smaller than, digit, ones, tens, hundreds, thousands, shortest, nearest, ten, whole, round up, round down, hundred, thousand, centimetre, metre, millimetre, litre, millilitre, kilogram, gram, how much, how long, negative, minus count back, steps of

Week 2

Addition and Subtraction

  • To use the inverse to check addition and subtraction calculations
  • To use estimation to check addition and subtraction with regrouping/exchanging
  • To solve one step addition and subtraction word problems
  • To solve multi-step addition and subtraction word problems
  • MM To identify pairs of multiples of 50 that total 1000

 

Vocabulary

  • inverse, opposite, addition, subtraction, check, estimate, round up, round down, annotate, total, difference, more, less, left over, multiples, fifty, thousands,  tens, hundreds, pairs, equal

Week 3

Multiplication and Division

  • To multiply two digit by two digit numbers
  • To multiply decimals
  • To divide a three digit number by a one digit number
  • To solve one and two step word multiplication and division problems
  • MM To count in multiples of 25 and 1000

 

Vocabulary

  • column, multiply, lots of, regroup, ones, tens, tenths, larger, smaller, divide, bus stop, shared equally, annotate, hundreds, factors, multiples, thousands, steps of, count forward, count backwards

Week 4

Fractions and Decimals

  • To round decimal numbers to the nearest whole number
  • To recognise and write decimal equivalents of hundredths
  • To recognise and write decimal equivalents of halves and quarters
  • To solve four operation one and two step word problems with fractions and decimals
  • MM To add or subtract three or more numbers mentally using re-ordering e.g. 5 + 8 + 15 + 32 = (32+8) + (5+15)

 

Vocabulary

  • round up, round down, closest to, nearest to, estimate, whole, tens, ones, tenths, hundredths, equal parts, equivalent, minus, equal to,  quarters, half, plus, steps of, heaviest, lightest, difference, total, leftover, number bonds, add, subtract, numerator, denominator

Week 5

Fractions and Decimals

  • To add and subtract like fractions
  • To calculate fractions of amounts
  • To compare and order fractions on a numberline with varied and missing intervals
  • To compare and order decimals on a numberline going through 0, with varied and missing intervals
  • MM To multiply together 3 numbers using times table facts

 

Vocabulary

  • improper fraction, add, plus, subtract, minus, like fraction, tenths, hundredths, eighths, fifths, twelfths, sixths, numerator, denominator, divide by, multiply by, interval, decimal, equivalent, multiples, multiply, times, column, multiplication facts

Week 6

Geometry – Position and Direction

  • To recognise positions on a 2-D grid
  • To plot points on a coordinate grid
  • To describe movements between positions as translations
  • To draw shapes on a coordinate grid
  • MM To recognise that a  right angle is a 90 degree turn, two make a half turn, 3 make 3/4 turn and four make a complete turn

 

Vocabulary

  • x axis, y axis, coordinates, origin, locate, join, plot, parallel, perpendicular, right, down, up, left, position, translate, corner, sides, polygon, factors, multiples, hundreds, multiply

Week 1

Geometry – Shape

  • To identify acute, obtuse and right angles
  • To classify and compare angles
  • To draw reflections in order to create a symmetric shape
  • To compare and classify geometric shapes based on their properties (faces, vertices and edges)
  • Maths Assessment

 

Vocabulary

  • acute, obtuse, right angle, ninety degrees, largest, smallest, 180 degrees, straight line, vertices, vertex, edge, face, cube, cuboid, sphere, cylinder, tetrahedron, cone, hemisphere

Week 2

Measurement – Money

  • To compare and classify geometric shapes based on their properties (faces, vertices and edges)
  • To estimate and compare amounts of money
  • To calculate change in pounds and pence
  • To multiply and divide in the context of money
  • To solve a range of money problems in the context of four operations

 

Vocabulary

  • vertices, vertex, edge, face, prism, pyramid, square based, pentagonal, hexagonal, octagonal, octahedron, pence, pounds, one, two, five, ten, twenty, fifty, estimate, round, subtract, minus, difference, leftover, between, lots of, multiply, divide, annotate, total, change

Week 3

Measurement – Time

  • To solve problems converting hours, minutes and seconds
  • To solve problems converting  years months, weeks and days
  • To calculate and compare time duration of events
  • To calculate time durations that pass through the hour
  • MM To recognise the value of each digit from 10,000s to 1/100ths

 

Vocabulary

  • minutes, hours, seconds, longer, shorter, difference, total, convert, days, months, years, weeks, number line, how long, start, finish, later, earlier, ten thousand, thousands, hundreds, tens, ones, tenths, hundredths, place value, decimal point

Week 4

Statistics

  • To solve problems related to data recorded in a table
  • To solve problems with bar charts
  • To solve problems related to pictograms
  • To solve problems related to time graphs
  • MM To calculate mentally one fact: (91-25=□) and then state the other three related facts

 

Vocabulary

  • data, most, least, popular, how many, bar, column, tallest, x axis, y axis, interval, fewest, total, represents, half, quarter, continuous, fewer, further, difference, right angle, 90 degrees, half turn, 180 degrees, ¾ turn, 270 degrees, full turn, 360 degrees

Week 5

Measurement – Length/Mass/Capacity

  • To multiply and divide by 10, 100 and 1000, particularly when product is a decimal number
  • To convert between units of measurement across length, mass and capacity
  • To solve a range of one step word problems based on measurement
  • To solve a range of two step word problems based on measurement
  • MM To convert pounds into pence and vice versa

 

Vocabulary

  • product, larger, smaller, ten, hundred, thousand, multiply, divide, millimetres, centimetres, metres, kilometres, kilograms, grams, litres, millilitres, convert, scale up, scale down, length, mass, capacity, annotate, total, difference, more than, less than, lots of, equal parts, shared, pounds, pence

Week 6

Measurement – Perimeter and Area

  • To find the perimeter of rectangles and squares
  • To find the area of a shapes by counting the number of squares
  • To find the area of squares and rectangles
  • To make comparisons between the perimeter and area
  • MM To use knowledge of number of days in months to solve a range of problems e.g. Jan went swimming on Wednesday 14th Jan. He went swimming exactly 4 weeks later. What was the date? The pool closed on Friday 20th March. It opened on Friday 10th April. How long had it been closed?

 

Vocabulary

  • distance, centimetres, metres, difference, width, length, multiply, sides, square centimetres, area, total, larger, smaller, rows, columns, estimate, grams, kilograms, centimetres, millimetres, metres, leap year, days, weeks, months

Week 1

Number and Place Value

  • To distinguish between use Roman numerals
  • To count forwards and backwards in negative numbers
  • To explain the place value of decimals
  • To solve a range of problems involving number and place value

 

Vocabulary

  • numeral, after, before, one, five, ten, fifty, hundred, negative, count forward, count back, minus, difference, ones, tens, hundreds, tenths, hundredths, decimal point, nearest, leftover, most, least

Week 2

Addition and Subtraction

  • To solve missing number addition and subtraction problems, including decimals
  • To identify and explain misconceptions in addition and subtraction working out, including decimals
  • To solve a range of addition and subtraction one and two step word problems
  • MM To add and subtract using compensating – E.g. 38 +69 =38 + 70 – 1. 405 – 298 = 405 – 300 +2
  • MM – To add using near doubles e.g. 38 + 35 = Double 35 + 3. 1.5 + 1.6 = Double 1.5 + 0.1 or Double 1.6 – 0.1

 

Vocabulary

  • add, subtract, total, difference, minus, take away, pence, pounds,  regroup, exchange, incorrect, justify, prove, explain, annotate, number fact, inverse, order, operation, length, mass, capacity

Week 3

Multiplication and Division

  • To use the distributive law
  • To use associative law to multiply three numbers
  • To solve one and two step problems using scaling
  • MM To use doubling and halving facts to solve multiplication and division mentally. e.g. 36 x 50 = 36 x 100 divided by 2.  1/4 of 64 = half of half of 64. 60 x 4 = 60 x 2 x 2

 

Vocabulary

  • product, partition, distribute, brackets, order, multiply, digit, equal parts, scale up, scale down, twice as much, three times as much, double, round,  remainder, add, left over

Week 4

Fractions and Decimals

  • To use common factors and multiples to find equivalent fractions
  • To add and subtract fractions
  • To calculate fractions of amounts, as well as the total when you know the fraction. e.g.  If 1/4 = 30 than the total must be 120
  • To identify fraction and decimal equivalents across tenths and hundredths, including numbers above
  • MM To extend and explain number sequences (48, 41, 34, 27…) including those that continue beyond zero (5, 1, -3….)

 

Vocabulary

  • half, third, quarter, fifth, tenth, equivalent, equal parts, divide, larger, smaller, numerator, denominator, whole, tens, ones, tenths, hundredths, minus, equal to, counting in, steps of, adding, subtracting, negative, minus

Week 5

Fractions and Decimals

  • To identify decimal equivalents of common fractions e.g. 1/2, 1/3, 1/4, 1/5, 1/8, 1/10. If  I know 1/3 is 0.333… then I know 2/3 is…
  • To compare and order multiple fractions by finding their decimal equivalents.- e.g. 1/4, 4/10, 65/100 and 1/2
  • To solve a range of one step word problems involving fractions and decimals
  • To solve a range of two step word problems involving fractions and decimals
  • MM To calculate 10, 100 or 1000 more or less than a given number

 

Vocabulary

  • half, third, quarter, fifth, tenth, equivalent, equal parts, divide, larger, smaller, numerator, denominator, whole, tens, ones, tenths, hundredths, minus, equal to, counting in, steps of, adding, subtracting, negative, minus, lots of, annotate, more than, less than, ten, hundred, thousand

Week 6

Geometry – Position and Direction

  • To reflect shapes across a quadrant
  • To plot points on a coordinate grid
  • To describe movements between positions as translations
  • To draw shapes on a coordinate grid
  • MM To solve a range of problems involving quarter/half/ 3/4/full turns. e.g. If it s 3 o clock, how many degrees will the minute hand turn if the time is 3:45? Mr Webster stands on the spot and turns 720 degrees. How many turns has he completed?

 

Vocabulary

  • reflect, mirror line, symmetrical, x axis, y axis, coordinates, origin, locate, join, plot, parallel, perpendicular, right, down, up, left, position, translate, double, halve, hundred times larger, ten times larger

Week 1

Geometry – Shape

  • To identify horizontal, vertical lines and pairs of perpendicular and parallel lines
  • To identify different types of angle
  • To identify lines of symmetry in regular and irregular 2-D shapes
  • Maths assessment

 

Vocabulary

  • horizontal, vertical, parallel, perpendicular, sides, right angle, acute angle, obtuse angle, degrees, smaller, greater, straight line, quadrilateral, circle, triangle, octagon, pentagon, hexagon, semi-circle, equal, pairs of, more, two dimensional, mirror, symmetrical, equal, regular, irregular

Week 2

Geometry – Position & Direction

  • To measure and calculate perimeter of 2-D shapes
  • To describe the position on a 2-D grid as coordinates
  • To describe movements of coordinates on a grid as translations (left, right, up and down/ NSEW)
  • To plot specific points on a quadrant
  • To draw simple symmetric patterns and shapes across a mirror line

 

Vocabulary

  • perimeter, centimetre, addition, 2-D, above, below, origin, coordinate, x axis, y axis, horizontal, vertical, north, south, east, west, up, down, left , right, line of symmetry, mirror line, reflection

Week 3

Measurement – Money

  • To select different combinations of coins to make the same amounts of money
  • To solve money problems that involves finding the total
  • To calculate the change given in £ and p
  • To solve a range of one and two step word problems involving money
  • MM To use times table facts to divide mentally

 

Vocabulary

  • pence, pounds, twenty, ten, five, fifty, notes, coins, smallest, largest, most, least, total, add, subtract, change, left over, multiple, ten, hundred, times table, recall, apply, fact, ten times larger, ten times smaller

Week 4

Measurement – Length, Mass & Volume

  • To measure and compare lengths in m, cm and mm (using rulers or tapes)
  • To compare and measure mass in kg and g
  • To measure and compare volume and capacity
  • To convert between units of length, mass and volume
  • MM To double and halve two  and three digit numbers

 

Vocabulary

  • interval, millimetre (mm), centimetres (cm), metres (m), largest, smallest, < less than, > greater than, grams (g), kilograms (kg), mass, heaviest, lightest, millilitres (ml), litres (L), multiply, divide, 10, 100, 1000, double, multiply by 2, halve, divide by 2

Week 5

Measurement – Length, Mass & Volume

  • To calculate fractions of measures
  • To solve addition and subtraction problems in the context of LMV
  • To use multiplication and division to scale by integers – context LMV
  • To solve multi-step problems using four operations

 

Vocabulary

  • quarter, half, three quarters, tenths, fifths, millilitres, litres, metres, centimetres, millimetres, grams, kilograms, total, difference, more than, less than, lots of, shared equally, stops of, annotate

Week 6

Measurement – Time

  • To compare time written in both analogue and digital clocks
  • To convert between the days months and years
  • To convert between time in seconds, minutes and hours
  • To calculate and compare duration of events
  • MM To divide by 4 and 8 using halving

Vocabulary

  • minute (long) hand, hour (short) hand, analogue, past, to, half, quarter, digital, noon, am, pm, 12-hour, 24-hour, morning, evening, afternoon, minutes, hours, count forwards, count backwards, halving twice, halving three times

Week 7

Statistics

  • To  record and interpret  data in a table (Pupils put their own/class / given data into a bar chart)
  • To record and interpret data in a bar chart (Pupils put their own/ class/ given data into a bar chart)
  • To record and interpret data in a pictogram (Pupils put their own/ class/given data into a bar chart)
  • To record and interpret data in a Carroll Diagram (Pupils put their own/ class/given data into a bar chart)
  • MM To multiply by 4 and 8 using doubling

 

Vocabulary

  • frequency, many more, many fewer, twice as many, many left, total, table, bar chart, altogether, most, least, half as many, pictogram, key, row, column, organise, sort, doubling twice, doubling three times
clocks

Autumn 1

  • Number and place value
  • Addition and subtraction
  • Multiplication
  • Division
  • Fractions and decimals
  • Time
weight

Autumn 2

  • Fractions and decimals
  • Geometry – shape
  • Statistics
  • Length and mass
  • Volume and capacity
  • Perimeter and area
  • Four operations in the context of problem solving
addition-subtraction

Spring 1

  • Number and place value
  • Addition and subtraction
  • Multiplication
  • Division
  • Fractions and decimals
  • Position and direction
money

Spring 2

  • Geometry – shape
  • Money
  • Time
  • Statistics
  • Length, mass and capacity
  • Perimeter and area
fractions

Summer 1

  • Number and place value
  • Addition and subtraction
  • Multiplication and division
  • Fractions and decimals
  • Position and direction
geometry

Summer 2

  • Money
  • Shape
  • Four operations
  • Time
  • Statistics
  • Four operations

Year 5

Week 1

Number and Place Value

  • To recognise the place value of each digit in a six digit number
  • To represent 6 digit numbers in words or digits
  • To compare & order numbers beyond 100,000
  • To round numbers to the nearest 10, 100, 1000 , 10,000 and 100,000
  • MM To calculate 10,000 and 100,000 more/less than any six digit number

 

Vocabulary

  • hundred thousands, ten thousands, thousands, hundreds, tens, ones, position, digit, even, odd, greater than >, less than <, largest, smallest, bigger, nearest, round up, round down, power of 10, steps of

Week 2

Addition and Subtraction

Estimation should be happening throughout the week

  • To round off numbers to estimate the answer for addition and subtraction. E.g. 1296 +2508 rounded is approx. equal to 1300 +2500 = 3800
  • To add five digit numbers (regrouping in the 1000s, 100s, 10s and 1s)
  • To subtract five digit+ numbers (exchanging in the 1000s, 100s, 10s and 1s)
  • To solve one and two step word problems involving addition and subtraction
  • MM To add and subtract multiple numbers efficiently using re-ordering e.g. 25 + 36 + 75 = 75 + 25 + 36

 

Vocabulary

  • estimate, round up, round down, check, calculation, hundred thousand, ten thousand, thousand, add, subtract, plus, minus, total, difference, hundred, tens, ones, annotate, farther, shorter, re-order, regroup, exchange

Week 3

Multiplication and Division

  • To multiply whole numbers & decimals numbers by 10, 100, 1000
  • To divide whole numbers and decimal numbers  by 10, 100 and 1000
  • To multiply numbers up to four digits by a one digit number
  • To divide numbers up to four digits by a one digit number, interpreting the remainders
  • MM To add multiples of 100 and 1000 using knowledge of place value

 

Vocabulary

  • larger, smaller, times, thousands, hundreds, tens, ones, tenths, hundredths, thousandths, place value, column, regroup, bus stop, remainder, decimal, fraction, exchange

Week 4

France residential and Harvest Festival rehearsal

Week 5

Multiplication and Division

  • To identify common factors of two numbers
  • To multiply numbers up to four digits by a two digit number
  • To solve word problems involving multiplication and division
  • To identify prime numbers and prime factors
  • MM To subtract multiples of 100 and 1000 using knowledge of place value

 

Vocabulary

  • prime, composite, factors, multiples, common factors, factor pairs, annotate, lots of,  times, thousands, hundreds, tens, ones, tenths, hundredths, thousandths, place value, column, regroup, bus stop, remainder, decimal, fraction, exchange

Week 6

Four Operations

  • To identify and explain common misconceptions in column addition and subtraction opportunity to practise both before correcting misconceptions)
  • To solve a range of multi-step problems involving addition and subtraction
  • To identify and explain common misconceptions in multiplication and division written methods
  • To solve a range of word problems involving multiplication and division
  • MM To add and subtract whole numbers mentally using partitioning

 

Vocabulary

  • estimate, round up, round down, check, calculation, hundred thousand, ten thousand, thousand, add, subtract, plus, minus, total, difference, hundred, tens, ones, annotate, farther, shorter, explain, justify, prove, bus stop, regroup, exchange, partition

Week 7

Measurement Time

  • To solve problems involving converting units of time (Seconds, minutes, hours and days)
  • To solve problems involving converting units of time (days, hours, week and years) (Show trick for knowing which months are 31 days using knuckles)
  • To calculate time duration problems that pass through the hour
  • To solve a range of time measurement problems
  • MM To convert between analogue and digital clocks

 

Vocabulary

  • seconds, minutes, hours, days, scale up, scale down, weeks, years, leap year, longer, shorter, 12 hour, 24 hour, analogue, digital, hand, interval, quarter to/past, half past

Week 1

Fractions, Decimals and Percentages

  • To identify equivalent fractions (including tenths and hundredths) 
  • To compare and order fractions (whose denominators are multiples of the same number) 
  • To calculate fractions of numbers and quantities
  • MM – To add and subtract whole numbers when bridging through multiples of 10 e.g. 575 + 28 = 575 + 25 + 3

 

Vocabulary

  • equivalent, numerator, denominator, smallest, largest, half, third, quarter, fifth, sixth, seventh, eighth, ninth, tenth, hundredth, multiples, number bonds, bridge, partition, split into

Week 2

Fractions, Decimals and Percentages

  • To convert mixed numbers to improper fractions (and back)
  • To read and write decimal numbers as fractions
  • To convert fractions to percentages. Getting fractions into decimal fractions (e.g. over 10 or 100)
  • To identify percentage and decimal equivalents
  • Maths assessment

 

Vocabulary

  • improper fraction, mixed number, numerator, denominator, whole number, equivalent, tenths, hundredths, scale down, scale up, decimal, thousandth, percentage

Week 3

Geometry – Properties of Shape

  • To sort regular and irregular polygons
  • To estimate and compare angles
  • To compare angles
  • To identify missing angles
  • MM – To identify angles at a point and one whole turn

 

Vocabulary

  • sides, angles, equal, regular, irregular, square, rectangle, circle, triangle, isosceles, equilateral, right-angled, scalene, pentagon, hexagon, heptagon, octagon, acute, obtuse, straight line, estimate, smallest, largest, quarter turn, half turn, three-quarter turn

Week 4

Measurement – Length and Mass

  • To convert between different units of metric measure
  • To use all four operations to solve problems involving length
  • To solve four operation problems involving mass
  • To measure and draw lines and shapes to the nearest mm
  • MM – To examine the quantity of objects (e.g. coins a jar, grapes in a bowl etc.) and make a reasonable estimate

 

Vocabulary

  • millimetre, centimetre, metre, kilometre, millilitre, litre, grams, kilogram, convert, total, difference, leftover, estimate, logic, reason

Week 5

Measurement – Volume and Capacity

  • To solve problems involving converting units of measurement
  • To estimate and measure capacity
  • To estimate and measure volume
  • To use approximate equivalences between metric and imperial units
  • MM – To order units of measurement in ascending and descending order. E.g. 1100g 1kg, 0.95kg, 900g

 

Vocabulary

  • millimetre, centimetre, metre, kilometre, millilitre, litre, grams, kilogram, convert, feet, inches, scale up, scale down, ascending, descending, smallest, largest, cube number, cubed, capacity, depth, length, width

Week 6

Measurement – Area and Perimeter

  • To measure and calculate the perimeter of composite rectilinear shapes
  • To calculate and compare the area of rectangles (cm² and m²)
  • To estimate the area of irregular shape
  • To solve missing measure questions when presented algebraically
  • MM – To calculate the difference by counting up through the next multiple of 10, 100 or 1000

 

Vocabulary

  • perimeter, area, side, distance, square centimetre, composite, rectilinear, length, width, total, product, estimate, regular, irregular, tens, hundreds. thousands, ten thousands, hundred thousands

Week 7

Statistics

  • To solve comparison problems using information in a line graph
  • To solve sum problems using information in a line graph
  • To solve difference problems using information in a line graph
  • To complete, read and interpret information in tables
  • MM – To identify what to add to a decimal with a units and tenths to make the next highest whole number e.g. 8.25 + ? = 9

 

Vocabulary

  • Y axis, x axis, origin, plot, difference, interval, length, width, depth, frequency, greatest, smallest, hundredths, tenths, ones, tens, whole, add, plus

Week 1

Number and Place Value

  • To identify the term-to-term rule
  • To interpret negative numbers
  • To count in steps of powers of 10 up to 1 000 000
  • To read Roman numerals

 

Vocabulary

  • rule, add, subtract, term, count forwards, count backwards, negative, minus, more than, less than, powers of ten, steps of, ten, hundred, thousand, one, five, fifty, five hundred, numeral

Week 2

Addition and Subtraction

  • To add and subtract decimal numbers up to two decimal places
  • To identify the missing value in addition and subtraction problems
  • To solve a range of addition and subtraction problems (put some problems in the context of measurement to recap last term)
  • To add and subtract negative numbers
  • MM To add and subtract using compensating. e.g. 138 + 69 = 138 +70 – 1

 

Vocabulary

  • rule, add, subtract, term, count forwards, count backwards, negative, minus, more than, less than, powers of ten, steps of, ten, hundred, thousand, one, five, fifty, five hundred, numeral

Week 3

Multiplication and Division

  • To multiply four digits by one and two digit numbers
  • To divide four digit numbers by a one digit number including interpreting remainders
  • To multiply and divide whole numbers by 10, 100 and 1000
  • To use the distributive property strategy to divide ‘friendly’ numbers
  • MM To add using near doubles e.g. 160 + 170 = 160 doubled + 10 or 150 doubled + 30

 

Vocabulary

  • larger, smaller, times, thousands, hundreds, tens, ones, tenths, hundredths, thousandths, place value, column, regroup, bus stop, remainder, decimal, fraction, exchange, partition, distribute, double, round, nearest

Week 4

Fractions, Decimals and Percentages

  • To add and subtract fractions with denominators that are multiples of the same number
  • To multiply fractions and mixed numbers by a whole number
  • To identify equivalent fractions, decimals and percentages
  • To solve problems with percentages
  • MM To derive quickly related facts e.g.  150-80 = 70, 1500-800 = 700, 1.5-0.8 = 0.7

 

Vocabulary

  • mixed number, improper fraction, equivalent, multiples, numerators, denominators, sequence, percentage, decimal, decimal fraction, add, plus, subtract, minus, takeaway, lots of, multiply

Week 5

Fractions, Decimals and Percentages

  • To add and subtract decimals numbers less than one e.g. 0.08 + 0.26
  • To multiply decimals less than one by 10, 100 and 1000 (e.g. 0.45 x 100 = 45)
  • To round decimals
  • To solve problems with decimals
  • MM To identify a number that sits halfway between two numbers e.g. (2743 + 2831)/2

 

Vocabulary

  • hundredths, tenths, ones, tens, add, subtract, hundred, thousand, multiply, larger, smaller, round up, round down, nearest to, bigger, smaller, smallest, largest, decimal place, between, middle, halfway, total, divide by 2

Week 6

Measurement – Money and Time

  • To use multiplication and division to inter scale and calculate changing rates
  • To add, subtract, multiply and divide in the context of converting money (show conversion in preparation for problem solving next day) e.g. £15.54 = 1554p. 1554 x 3 =6216, which means 15.54 x 4 = £62.16
  • To solve problems involving money
  • To read  and solve problems using timetables
  • MM to recognise that knowing a fact such as 136+319=455 makes it possible to find 455-318 and 455-137

 

Vocabulary

  • scale up, scale down, multiply, divide, equal parts, pound, pence, total, change, left over, difference, annotate, column, row, minutes, hours, arrive, ones, tens, hundreds, inverse, add, subtract, operation

Week 1

Four Operations – Conversion

  • To use number bonds to find factors and products to identify missing factors (using fractions and decimals)
  • To solve conversion word problems involving addition and subtraction
  • To recognise and use square numbers
  • To identify the lowest common multiples between two numbers
  • Maths assessment

 

Vocabulary

  • factor, multiples, number bonds, fraction, decimal, common, plus, minus, total, difference, millimetre, millilitre, gram, centimetre, metre, kilometre, kilogram, litre, ten, hundred, thousand, square number, cube number, multiply, squared, prime

Week 2

Geometry – Position and direction

  • To describe and plot points across one and two quadrants
  • To describe and plot points across all four quadrants
  • To translate the position of a shape on one quadrant
  • To reflect the position of a shape across a mirror line
  • MM To estimate, compare and identify angles e.g. obtuse, acute, reflect, right angle

 

Vocabulary

  • acute, obtuse, straight line, estimate, smallest, largest, quarter turn, half turn, three-quarter turn, x axis, y axis, plot, translate, coordinate, quadrant, position, origin,  centre, left, right, up, down, vertex, mirror line, reflect, symmetrical, vertical, horizontal

Week 3

Geometry – Properties of shape

  • To identify and describe diagonal and parallel lines
  • To identify 3-D shapes from 2-D representations
  • To solve problems using nets
  • To identify missing angles and lengths
  • MM To use times table facts to solve multiplication problems mentally

 

Vocabulary

  • acute, obtuse, straight line, estimate, smallest, largest, quarter turn, half turn, three-quarter turn, diagonal, parallel, perpendicular, equidistant, cuboid, cube, square based pyramid, tetrahedrons, cylinder, cone, sphere, prism, hexagonal, pentagonal, elevation, plan view, net, faces, fold, 3D, partition , multiply, ten, hundred, thousand, bigger, smaller

Week 4

Fractions, Decimals and Percentages

  • To compare and order decimals and decimal numbers up to 3D
  • To compare and order fractions
  • To convert mixed numbers to improper fractions (and back)
  • To find fractions of amounts
  • MM To use knowledge of factors to solve division mentally

 

Vocabulary

  • smallest, largest, ascending, descending, decimal place, ten, one, tenth, hundredth, thousandth, highest, equivalent, numerator, denominator, smallest, largest, half, third, quarter, fifth, sixth, seventh, eighth, ninth, tenth, hundredth, multiples, factor, mixed number, improper

Week 5

Addition and Subtraction

  • To identify misconceptions in column method decimal addition and subtraction
  • To add and subtract fractions, including improper fractions and mixed numbers
  • To identify when is most effective to use mental or written strategies for addition and subtraction
  • To solve a range of one and two step problems
  • MM To calculate the rise and fall in temperature using both positive and negative integers

 

Vocabulary

  • estimate, round up, round down, check, calculation, hundred thousand, ten thousand, thousand, add, subtract, plus, minus, total, difference, hundred, tens, ones, annotate, farther, shorter, re-order, regroup, exchange, ten, one, tenth, hundredth, thousandth, highest, equivalent, numerator, denominator, smallest, largest, half, third, quarter, fifth, sixth, seventh, eighth, ninth, tenth, hundredth, negative, degrees Celsius, temperature, zero

Week 6

Multiplication and Division

  • To identify all the factor pairs of a number, as well as common factor pairs
  • To identify composite (non-prime) numbers
  • To establish whether a number up to 100 is a prime number
  • To identify when is most effective to use mental or written strategies for multiplication and division

 

Vocabulary

  • prime, composite, factors, multiples, common factors, factor pairs, divide, half, multiply, double, lowest, highest

Week 1

Number and Place Value

  • To identify the value of each digit in a decimal number up to 3DP
  • To calculate the term-to-term rule  in linear sequences that involve fractions or decimals
  • To round whole and decimal numbers
  • To solve problems involving number
  • MM To recognise that 1 square metre = 10 000 cm² and that 1 square cm = 100mm²

 

Vocabulary

  • hundred thousands, ten thousands, thousands, hundreds, tens, ones, position, digit, even, odd , greater than >, less than < , largest, smallest, bigger, nearest, round up, round down, power of 10, steps of

Week 2

Measurement – Area, Perimeter and Volume

  • To compare the perimeter and area of rectangles
  • To solve the perimeter and area of composite rectilinear shapes
  • To solve volume problems based on 3-D shapes
  • To review my knowledge of area, perimeter and volume
  • MM To convert fluently between all units of time. Seconds, minutes, hours, days, weeks, months

 

Vocabulary

  • seconds, minutes, hours, days, scale up, scale down, weeks, years, leap year, longer, shorter, perimeter, area, side, distance, square centimetre, composite, rectilinear, length, width, total, product, cube number, cubed, capacity, depth, length, width

Week 3

Statistics

  • To solve a variety of problems using information in a line graph
  • To complete, read and interpret information in tables
  • To solve problems involving time tables
  • MM – To multiply mentally using partitioning

 

Vocabulary

  • Y axis, x axis, origin, plot, difference, interval, length, width, depth, frequency, greatest, column, row, minutes, hours, arrive, partition, place value, multiply, lots of

Week 4

Measurement – Length, Mass, Capacity and Money

  • To convert between different units of metric measure
  • To use approximate equivalences between metric and imperial units
  • To solve a range of problems on mass, volume and length
  • To solve a range of problems involving time and money
  • MM To use knowledge of times tables to divide mentally

 

Vocabulary

  • millimetre, centimetre, metre, kilometre, millilitre, litre, grams, kilogram, convert, feet, inches, scale up, scale down, ascending, descending, smallest, largest, seconds, minutes, hours, days, weeks, months, years, pound, pence, division facts, half, double, ten times, hundred times, larger, smaller

Week 5

Fractions, Decimals and Percentages

  • To interpret non-integer answers to division by expressing results in different ways
  • To convert decimal fractions into decimals
  • To count in decimals
  • To multiply fractions and mixed numbers by a whole number
  • MM – To identify a decimal fraction between 2 numbers (between 41 and 42)

 

Vocabulary

  • mixed number, improper fraction, equivalent, multiples, numerators, denominators, sequence, percentage, decimal, decimal fraction, tenths, hundredths, thousandths, steps of, term, sequence, half, halfway

Week 6

Geometry – Position and Direction

  • To reflect the position of a shape in all four quadrants
  • To translate the position of a shape in all four quadrants
  • To draw and plot data across four quadrants
  • To plot shapes across four quadrants, including questions where coordinates are missing and pupils use dimensions of shape to complete or finding missing coordinates when they only know one or two coordinates of a shape
  • MM To double using known facts e.g. Double 79 = Double 70 + double 9

 

Vocabulary

  • x axis, y axis, plot, translate, coordinate, quadrant, position, origin,  centre, left, right, up, down, vertex, mirror line, reflect, symmetrical, vertical, horizontal, double, partition, place value, ones, tens, hundreds

Week 1

Fractions, Decimals and Percentages

  • To solve problems with fractions
  • To review my knowledge of FDP
  • To review my knowledge of FDP
  • Maths assessment

Focus on what has been hard to teach, hard to learn in FDP across the year 

 

Vocabulary

  • equivalent, numerator, denominator, smallest, largest, half, third, quarter, fifth, sixth, seventh, eighth, ninth, tenth, hundredth, multiples, number bonds, bridge, partition, split into, Improper fraction, mixed number, whole number, equivalent

Week 2

Number and Place Value

  • To solve problems involving roman numerals
  • To solve problems involving common factors, prime factors and LCM
  • To review my knowledge of number and place value
  • To review my knowledge of number and place value
  • MM To multiply by 5 and 50. Equivalent to multiply by 10 or 100 and then dividing by two

 

Vocabulary

  • hundred thousands, ten thousands, thousands, hundreds, tens, ones, position, digit, even, odd, greater than >, less than < , largest, smallest, bigger, nearest, round up, round down, power of 10, steps of, numeral, digit, common, factor, multiple, prime number, primer factor, five, fifty, divide, half

Week 3

Four Operations

  • To recognise cubed numbers
  • To apply distributive law
  • To solve division problems with decimals (use place value counters if needed)
  • To solve a range of four operation word problems. Still check for fluency of formal written methods
  • MM To multiply numbers with a 1 or 9 in the units column effectively e.g. 13 x 19 = (13 x 20) – 13. Or 22 x 21 = (22 x 20 ) + 22

 

Vocabulary

  • estimate, round up, round down, check, calculation, hundred thousand, ten thousand, thousand, add, subtract, plus, minus, total, difference, hundred, tens, ones, annotate, farther, shorter, explain, justify, prove, bus stop, regroup, exchange, partition, cube number, cubed

Week 4

Geometry – Combined

  • To compare angles
  • To measure angles using a protractor
  • To draw angles using a protractor
  • To identify missing angles across a range of problems

 

Vocabulary

  • acute, obtuse, straight line, reflex, estimate, smallest, largest, quarter turn, half turn, three-quarter turn, baseline

Week 5

Geometry – Continued

  • To review my knowledge of angles
  • To compare, sort and describe regular and irregular polygons
  • To identify a range of 3-D shapes
  • To review my knowledge of reflection and translation
  • MM To identify the difference between concave, convex and complex polygons, as well as shapes that are not polygons

 

Focus on what has been hard to teach, hard to learn in geometry across the year 

 

Vocabulary

  • acute, obtuse, straight line, reflex, Sides, angles, equal, regular, irregular, square, rectangle, circle, triangle, isosceles, equilateral, right-angled, scalene, pentagon, hexagon, heptagon, octagon, cuboid, cube, square based pyramid, tetrahedrons, cylinder, cone, sphere, prism, hexagonal, pentagonal, Y axis, x axis, origin, plot, translate, polygon, concave, convex

Week 6

Four Operations

  • To identify when is more appropriate to use mental addition and subtraction or a formal written method
  • To identify and correct misconceptions when solving decimal addition and subtraction
  • To identify when it is appropriate to use written or mental multiplication and division to solve a problem
  • To identify and correct misconceptions when solving multiplication and division
  • MM To count around a clock face in turns and degrees

 

Vocabulary

  • estimate, round up, round down, check, calculation, hundred thousand, ten thousand, thousand, add, subtract, plus, minus, total, difference, hundred, tens, ones, annotate, intervals, quarter turn, half, turn, three-quarters turn, full turn, 90, 180, 270, 360

Week 6

Statistics

  • To interpret and present data on a line graph (pupils draw and produce their own line graph based on data given to them)
  • To interpret and present data in a bar chart (pupils draw and produce their own line graph based on data given to them)       
  • To interpret and present data in a pictogram (pupils draw and produce their own line graph based on data given to them
  • To interpret and record data into a Venn diagram
  • To interpret and record data into a Carroll diagram

 

Vocabulary

  • Y axis, x axis, origin, plot, difference, interval, length, width, depth, frequency, greatest, smallest, hundredths, tenths, ones, tens, whole, add, plus
stop-watch

Autumn 1

  • Number and place value
  • Addition and subtraction
  • Multiplication and division
  • Four operations
  • Time
volume

Autumn 2

  • Fractions, decimals and percentages
  • Properties of shapes
  • Length and mass
  • Volume and capacity
  • Area and perimeter
  • Statistics
money

Spring 1

  • Number and place value
  • Addition and subtraction
  • Multiplication and division
  • Fractions, decimals and percentages
  • Money and time
addition-subtraction

Spring 2

  • Four operations
  • Position and direction
  • Properties of shapes
  • Fractions, decimals and percentages
  • Addition and subtraction
  • Multiplication and division
statistics

Summer 1

  • Number and place value
  • Area, perimeter and volume
  • Statistics
  • Length, mass, capacity and money
  • Fractions, decimals and percentages
  • Position and direction
geometry

Summer 2

  • Fractions, decimals and percentages
  • Number and place value
  • Four operations
  • Geometry combined
  • Four operations

Year 6

Week 1

Number and Place Value

  • To recognise the place value of numbers up to 7 digits
  • To compare and order numbers up to 10,000,000
  • To round any whole number
  • To interpret negative numbers
  • MM To calculate a 1000, 10,000 and 100,000 more or less than any 7 digit number

 

Vocabulary

  • digit, hundred thousand, ten thousand, million, place value, tens, hundreds, thousands, ones, value, smallest, largest, greater than, less than < >, round up, round down, nearest to, power of ten, estimate, negative, positive, minus, increase, decrease, sequence, difference, steps of, more, less, count up, count down

Week 2

Addition and Subtraction

  • To use estimation to check answers to calculations
  • To solve any addition and subtraction with numbers up to 2 decimal places
  • To demonstrate the order of operations using brackets
  • To systematically solve multi-step problems
  • MM To order integers in ascending and descending order that cross zero

 

Vocabulary

  • total, difference, exchange, estimate, regroup, round to, nearest, approximate, accuracy, calculation, regroup, brackets, indices, powers, operation, order, annotate, less than, more than, ascending, descending, largest, smallest, positive, negative, zero, temperature

Week 3

Multiplication and Division

  • To multiply up to 4 digits by a two-digit whole number
  • To divide numbers up to 4 digits by 1 digit then 2-digit whole number using short division
  • To interpret remainders as whole number remainders, fractions or rounding
  • To solve short and long division calculations that involve interpreting the remainder as a decimal
  • MM – To identify common factors and prime numbers

Vocabulary

  • digit, multiplication, product, portioning, regroup, dividend, divisor, quotient, short division, remainder, regroup, estimate, interpret, decimal, common, factors, prime numbers, composite

Week 4

Fractions, decimals and percentages

  • To compare and order fractions
  • To add and subtract fractions with different denominators and mixed numbers
  • To multiply and divide fractions with different denominators and mixed numbers
  • To calculate fractions of amounts
  • MM – To add and subtract four digit+ multiples of 10, 100 and 1000 using partitioning

 

Vocabulary

  • common, multiple, factor, numerator, denominator, improper, mixed number, like fractions, unlike fractions, addition, subtraction, simplest, mixed numbers, multiply, divide, hundreds, thousands, hundred thousands, millions, place value

Week 5

Fractions, Decimals and Percentages

  • To use common factors to simply fractions
  • To find percentage of amounts
  • To calculate decimal and fraction equivalents
  • To multiply and divide by powers of 10
  • MM – To add and subtract decimal fractions up to 2DP using partitioning e.g. 2.77 – 0.45 = 2.77 – 0.4 – 0.05

 

Vocabulary

  • common, factors, multiple, numerator, denominator, simplify, equivalent, factor, multiple, decimal fraction, decimal place, partitioning, multiply, divide, simplest form, scale up, scale down, powers of ten, equivalents, round, recurring

Week 6

Measurement – Area and Perimeter

  • To prove that shapes with the same area can have different perimeters
  • To calculate the area of triangles
  • To calculate the area of parallelograms
  • To calculate and estimate the volume of cubes and cuboids
  • MM To add and subtract using compensation

 

Vocabulary

  • area, perimeter, length, width, squared, centimetre, metre, rectilinear, quadrilaterals, isosceles, scalene, equilateral, right-angled, triangle, height, base, polygon, parallelograms, estimate, volume, depth, compensation, add, subtract, multiply, rounded

Week 7

Assessment week and multiplication and division

  • Arithmetic Test
  • Reasoning paper 1
  • Reasoning Paper 2
  • To multiply and divide with decimals
  • To solve word problems involving multiplication and division

 

Vocabulary

  • decimal, multiplication, division, remainder, product, annotate, estimate

Week 1

Number and Place Value

  • To identify decimals and other intervals on a number line
  • To add and subtract negative numbers
  • To round any decimal number up to 3DP
  • MM To identify near doubles: 421 + 387 = 808

 

Vocabulary

  • double, half, halved, near rounded, decimal, fraction, interval, mixed number, improper, integer, negative, positive, addition, subtraction, decimal, place value, estimate, whole

Week 2

Geometry – Shape and angles

  • To compare and classify geometric shapes (2D)
  • To compare and classify geometric shapes (3D)
  • To identify missing angles in triangles and quadrilaterals
  • To visualise a 3-D shape from its net
  • MM To identify parallel, perpendicular and diagonal lines

 

Vocabulary

  • double, half, halved, near rounded, decimal, fraction, interval, mixed number, improper, integer, negative, positive, addition, subtraction, decimal, place value, estimate, whole

Week 3

Measurement – Length, Mass and Volume

  • To calculate, estimate and compare volume of cubes, cuboids and compound shapes
  • To convert measures using decimal notation to 3DP
  • To solve problems involving conversion and measure
  • To convert between miles and KM and other scaled rates
  • MM To calculate the difference by counting up through the next multiple of 10, 100 or 1000 e.g. 7000 – 3675 is 5 + 20 +300 = 3325

 

Vocabulary

  • cube, cuboid, volume, difference, compound, millimetre, centimetre, metre, tonnes, litre, centilitre, millilitre, length, mass, capacity, operation, word-problem, kilometre, mile, scaled, approximate, multiple, difference, subtraction, counting

Week 4

Measurement – Money, Time and Temperature

  • To solve problems involving converting units of time
  • To solve time duration problems using four operations
  • To solve problems involving money using the four
  • To add and subtract positive negative integers in the context of temperature
  • MM To identify what to add to a decimal with units, 10ths and 100ths to make the next highest whole number or 10th

 

Vocabulary

  • minutes, seconds, hours, weeks, years, leap years, convert, multiply, divide, duration, timetable, 12 hour, 24 hour, am, pm, difference, after, before, pence, pounds, change, temperature, positive, negative, thermometer, degrees, Celsius, Fahrenheit, ones, tenths, hundredths, whole, counting on, multiple

Week 5

Statistics

  • To interpret and solve problems using line graphs
  • To interpret and solve problems using pie charts
  • To connect angles and percentages to pie charts
  • To calculate and interpret the mean as the average
  • MM To calculate alternative averages mentally

 

Vocabulary

  • X axis, y axis, coordinate, plot, origin, data, pie chart, 360o , fraction, quantity, percentage, sector, angle, mean, mode, range, average, median, set, ascending, descending, total, divide

Week 6

Fractions, Decimals and Percentages

  • To multiply and divide with decimals
  • To identify percentage equivalents to decimal and fractions
  • To solve a range of decimal, percentage and fraction word problems
  • To solve fraction and percentage questions related to pie charts
  • MM To multiply and divide decimal numbers by 10, 100 and 1000

 

Vocabulary

  • multiply, divide, decimal, place holder, digit, larger, smaller, power of ten, fraction, percentage, pie chart, amount, value, sector, fraction, percentage,  equivalence

Week 7

Geometry – Position and Direction

  • To describe positions on all four quadrants
  • To draw and plot shapes across all four quadrants
  • To translate shapes across the coordinate plane
  • To reflect shapes across the coordinate plane
  • MM To multiply and divide whole numbers 10, 100 and 1000

 

Vocabulary

  • vertex, x axis, y axis, quadrant, coordinate, position, negative, reflect, plot, plane, mirror line, vertical, horizontal, translate, move, right, left, up, down

Week 1

Four Operations

  • To demonstrate the order of operations using brackets
  • To use communitive, associate and distributive laws of multiplication
  • To use the distributive property strategy
  • To solve a range of  four operation word problems

 

Vocabulary

  • brackets, indices, multiplication, division, addition, subtraction, order, commutative, associate, distributive, partition, re-order, share, annotate

Week 2

Algebra

  • To use simple formula to generate, express and describe equivalent expressions
  • To use simple formula to generate, express and describe equivalent expressions
  • To use simple formula to generate, express and describe mathematical formula
  • To use simple formula to generate, express and linear number sequence
  • MM To use times table facts to multiply mentally

 

Vocabulary

  • value, equation, formula, rule, variable, inverse, represent,  pairs, quantity, substitute, sequence, nth term, negative, rule, jottings

Week 3

Assessment Week  and Four Operations

  • Arithmetic
  • Reasoning 1
  • Reasoning 2
  • To identify common factors and multiples
  • MM To use times table facts to divide mentally

 

Vocabulary

  • common, factors, multiples, prime, fact, highest, lowest, times table

Week 4

Ratio

  • To use scale factors to solve problems involving shape
  • To use knowledge of fractions and multiples to solve problems involved in unequal quantities
  • To solve problems involving missing ratio
  • To solve ratio problems that involve unequal sharing
  • MM To solve mentally one fact 4.97-1.58 and then state three other related facts

 

Vocabulary

  • scale, factor, scaling, multiply, divide, enlarge, reduce, length, perimeter, unequal, quantity, ratio, total, calculation, fact, addition, subtraction, multiplication, division, related, integer

Week 5

Four Operations

  • To solve a range of problems that involve FDP
  • To solve a range of algebraic problems systematically
  • To solve a range of multi-step word problem four operations
  • To solve a range of ratio problems
  • MM To use knowledge of number facts to prove exact multiples e.g. multiples of 3, 4, 6, 8 and 9

 

Vocabulary

  • simplify, numerator, denominator, fraction, mixed number, improper fraction, decimal, percentage, equal, greater than, less than, nth term, sequence, variable, formula, equation, rule, addition, subtraction, multiplication, division, annotate, total, ratio, unequal, sharing, scaling, ratio, factor, multiples

Week 6

Fractions, Decimals and Percentages

  • To solve fraction of amounts problems when the total is unknown
  • To compare and order fractions, decimals and percentages
  • To compare percentages
  • To solve a range of FDP word problems
  • MM To use knowledge of number facts to prove exact multiples e.g. multiples of 3, 4, 6, 8 and 9

 

Vocabulary

  • total, multiply, divide, fraction, numerator, denominator, equivalent, convert, decimal, compare, larger than, less than, discount, increase, decrease, annotate, divisible, multiply, digit, total

Week 1

Number and Place Value

  • To round any number any whole number or decimal number
  • To interpret the remainder as a decimal, fraction or round
  • To identify the term to term rule
  • MM To identify multiples of numbers using doubling and halving e.g.14 x 5 = 14 x 10 divided by 2

 

Vocabulary

  • place value, nearest, whole, digit, round up, round down, tenth, hundredth, thousandth, dividend, divisor, quotient, decimal remainder, whole remainder, fraction remainder, estimate, division, nth term, formula, sequence, rule, term, double, halving, multiply, divide

Week 2

Geometry – Shape and Angles

  • To demonstrate how to find the diameter and radius of a circle
  • To identify and find missing angles
  • To draw 2-D shapes given dimensions and angles
  • To visualise patterns drawn on a 3-D shape and where it will occur
  • MM To create the largest/ smallest integer possible with a range of digits (e.g. 8 3 0 7 6 0 2)

 

Vocabulary

  • circle, radius, diameter, circumference, length, double, half, right angle, straight angle, acute, obtuse, reflex, 180, 360, opposite angles, triangle quadrilateral, equilateral, scalene, right-angled, isosceles, length, base, side, square, rectangle, trapezium, kite, rhombus, parallelogram, vertical, horizontal, faces, vertices, vertex, edge, net, fold, unfold, largest, smallest

Week 3

Algebra

  • To identify missing numbers using algebra
  • To identify two missing numbers using algebra
  • To use simple formula to generate, express and describe mathematical formula
  • To identify all the possibilities of combinations of two variables
  • MM To calculate the squares of all numbers from 1×1 to 12×12 and look at other powers

 

Vocabulary

  • value, equation, formula, rule, variable, inverse, represent,  pairs, quantity, substitute, sequence, nth term, negative, rule, jottings, squared, cubed, multiplication, power of

Week 4

Statistics

  • To solve problems using line graphs
  • To solve problems using pie charts
  • To calculate and interpret the mean as the average
  • To solve a range of statistical problems
  • MM To identify fractions that are bigger and smaller than others e.g. 9/14 is in between 4/7 and 5/7

 

Vocabulary

  • X axis, y axis, coordinate, plot, origin, data, pie chart, 360o , fraction, quantity, percentage, sector, angle, mean, mode, range, average, median, set, ascending, descending, total, divide, numerator, denominator, simplify, convert, decimal

Week 5

Ratio

  • To solve ratio problems involving scaling
  • To compare percentages
  • To solve missing ratio and unequal sharing problems
  • To solve a range of ratio problems
  • MM To identify fractions that are bigger and smaller than decimal fractions e.g. 505/100 is in between 0.50 and 0.51

 

Vocabulary

  • scale, factor, scaling, multiply, divide, enlarge, reduce, length, perimeter, unequal, quantity, ratio, total, calculation, fact, addition, subtraction, multiplication, division, related, integer

Week 6

Four Operations

  • To solve a range of measurement conversion word problems
  • To solve a range of shape and angle problems
  • To solve a range of position and direction problems
  • To identify common factors, multiples and prime numbers
  • MM – To explain the equivalent of one thousandth/100th/ 10th/ quarter and half of 1km, 1kg, 1 litre in m, g and ml respectively

 

Vocabulary

  • equivalent, tenth, hundredth, thousandth, quarter, half, kilometre, litre, kilogram, metre, centimetre, millimetre, gram, centilitre, millilitre

Week 1

Recap previously taught concepts

  • To solve a range of conversion word problems
  • To demonstrate the order of operations using brackets
  • To solve a range of algebraic problems
  • MM To explain the percentage equivalent to common fractions and vice versa

Week 2

Recap previously taught concepts

  • To calculate fraction and percentage of amounts
  • To solve a range of area, perimeter and volume problems
  • To solve a range of missing angle problems
  • To solve a range of problems involving coordinates
  • To solve a range of position and direction problems

Week 3

Recap previously taught concepts

  • To solve fraction, decimal and percentage word problems
  • To solve a range of 3D shape problems
  • To solve a range of ratio problems
  • To round any whole or decimal (3DP) number

Week 4

SATs week

Week 5

Mathematical investigation and shape

  • To solve a mathematical investigation
  • To draw triangles accurately
  • To draw a range of 2-D shapes
  • To draw a range of 2-D shapes
  • To draw a range of circles
  • To construct arcs and sectors

 

Vocabulary

  • annotate, jotting, resilience, perseveration, trial and error, logic, right-angled triangle, isosceles, scalene, equilateral, 180, internal, external, quadrilateral, square, rectangle, trapezium, kite, rhombus, parallelogram, arc, sector, circle, radius, diameter

Week 6

Recap previously taught concepts

  • To solve a range of problems on 2-D shapes
  • To solve four operation fraction problems
  • To solve a range of position and direction problems
  • To solve four operation word problems
  • MM To explain 1/10 is divide by 10 and 10%, finding 25%, 50% etc.

 

Vocabulary

  • multiply, divide, tenth, hundredth, quarter, half, third

Week 1

Statistics

  • To read and interpret scales on a map
  • To draw graphs with two relating variables
  • To create a school population pyramid
  • To solve a mathematical investigation

 

Vocabulary

  • scale, map, represent, apart, multiply, divide, distance, x axis, y axis, vertical, horizontal, origin, line, variable, pyramid, population, bar, record, logic, annotate, resilience, perseverance

Week 2

Number and Place Value

  • To solve problem involving both positive and negative numbers
  • To solve a range of fraction, decimal and percentage problems
  • To solve a range of problems involving number
  • To solve a mathematical investigation
  • To solve a mathematical investigation

 

Vocabulary

  • positive, negative, integer, addition, subtraction, multiplication, division, inverse, total, multiply, divide, fraction, numerator, denominator, equivalent, convert, decimal, compare, larger than, less than, discount, increase, decrease, annotate, divisible, multiply, digit, total, record, logic, annotate, resilience, perseverance

Week 3

Rhos y Gwaliau residential 

Week 4

Algebra

  • To construct a graph from algebraic expressions
  • To solve and simplify algebraic formula
  • To interpret the square root
  • To use unconventional methods to calculate the height of a building

 

Vocabulary

  • represent, apart, multiply, divide, distance, x axis, y axis, vertical, horizontal, origin, line, variable, formula, equation, balance, scale, square root, squaring, positive, negative

Week 5

Fractions, Decimals and Percentages

  • To construct a pie chart with multiple sectors
  • To interpret binary numbers
  • To solve problems that involve percentage and fractional increase and decreases
  • To solve a mathematical investigation
  • To solve a mathematical investigation

 

Vocabulary

  • sector, angle, fraction, percentage, compass, circumference, bits, binary, decimal, digit, power, discount, increase, decrease, percentage, division, scale, multiply

Week 6

Geometry

  • To draw triangles accurately
  • To draw a range of 2-D shapes
  • To draw a range of circles
  • To construct arcs and sectors
  • To solve a mathematical investigation

 

Vocabulary

  • annotate, jotting, resilience, perseveration, trial and error, logic, right-angled triangle, isosceles, scalene, equilateral, 180, internal, external, quadrilateral, square, rectangle, trapezium, kite, rhombus, parallelogram, arc, sector, circle, radius, diameter
addition-subtraction

Autumn 1

  • Number and place value
  • Addition and subtraction
  • Multiplication and division
  • Fractions, decimals and percentages
  • Area and perimeter
thermometer

Autumn 2

  • Number and place value
  • Shape and angles
  • Length, Mass and Volume
  • Money, time and temperature
  • Statistics
  • Fractions, decimals and percentages
  • Position and direction
fractions

Spring 1

  • Four operations
  • Algebra
  • Ratio
  • Four operations 
  • Fractions, decimals and percentages
angle

Spring 2

  • Number and place value
  • Shape and angles
  • Algebra
  • Statistics
  • Ratio
  • Four operations
2d-shapes

Summer 1

  • Recap previously taught concepts, considering hard to teach, hard to learn areas 
  • Fractions, decimals and percentages
  • 2D and 3D shapes
  • Problem solving
  • Statistics
  • Algebra, angles, length, mass and capacity
statistics

Summer 2

  • Statistics
  • Geometry
  • Algebra
  • Fractions, decimals and percentages
  • Number and place value