Lower key stage 2

Place value, counting

Year 3

  • Count from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given number

 Autumn 1 and 3

Year 4

  • Count in multiples of 6, 7, 9 25 and 1000
  • Count backwards through zero to include negative numbers

 Autumn 1

Place value, represent

Year 3

  • Identify, represent and estimate numbers using different representations
  • Read and write numbers up to 1000 in numerals and in words

 Autumn 1

Year 4

  • Identify, represent and estimate numbers using different representations
  • Read Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of zero and place value

 Autumn 1

Place value context and compare

Year 3

  • Recognise the place value of each digit in a three-digit number (hundreds, tens, ones)
  • Compare and order numbers up to 1000

 Autumn 1

Year 4

  • Find 1000 more or less than a given number
  • Recognise the place value of each digit in a four-digit number (thousands, hundreds, tens and ones)
  • Order and compare numbers beyond 1000

 Autumn 1

Place value, problems and rounding

Year 3

  • Solve number problems and practical problems involving these ideas

 Autumn 1

Year 4

  • Round any number to the nearest 10, 100 or 1000
  • Solve number and practical problems that involve all of the above and with increasingly large positive numbers

 Autumn 1

Addition and subtraction, recall, represent use

Year 3

  • Estimate the answer to a calculation and use inverse operations to check answers

 Autumn 2

Year 4

  • Estimate and use inverse operations to check answers to a calculation

 Autumn 2

Addition and subtraction, calculations

Year 3

  • Add and subtract numbers mentally, including:
    • A three-digit number and ones
    • A three-digit number and tens
    • A three-digit number and hundreds
  • Add and subtract numbers with up to three digits, using formal written methods of columnar addition and subtraction

 Autumn 2

Year 4

  • Add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate

 Autumn 2

Addition and subtraction, solve problems

Year 3

  • Solve problems, including missing number problems, using number facts, place value and more complex addition and subtraction

 Autumn 2

Year 4

  • Solve addition and subtraction two-step problems in contexts, deciding which operations and methods to use and why

 Autumn 2

Multiplication and division, recall, represent use

Year 3

  • Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables

 Autumn 3

Year 4

  • Recall multiplication and division facts for multiplication tables up to 12 x 12
  • Use place value, known and derived facts to multiply and divide mentally, including: multiplying by 0 and 1; dividing by 1; multiplying together three numbers
  • Recognise and use factor pairs and commutativity in mental calculations

 Autumn 2

Multiplication and division, calculations

Year 3

  • Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods

 Autumn 3, spring 1

Year 4

  • Multiply two-digit and three-digit numbers by a one-digit number using formal written layout

 Spring 1

Multiplication and division, solve problems

Year 3

  • Solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objects

 Spring 1

Year 4

  • Solve problems involving multiplying and adding, including using the distributive law to multiply two digit numbers by one digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objects

 Spring 1

Fractions, recognise and write

Year 3

  • Count up and down in tenths; recognise that tenths arise from dividing an object into 10 equal parts and in dividing one-digit numbers or quantities by 10
  • Recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators
  • Recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators

 Spring 5

Year 4

  • Count up and down in hundredths; recognise that hundredths arise when dividing an object by one hundred and dividing tenths by ten

 Spring 3

Fractions, compare

Year 3

  • Recognise and show, using diagrams, equivalent fractions with small denominators
  • Compare and order unit fractions and fractions with the same denominators

 Summer 1

Year 4

  • Recognise and show, using diagrams, families of common equivalent fractions

 Spring 3

Fractions, calculations

Year 3

  • Add and subtract fractions with the same denominator within one whole (for example 5/7 + 1/6 = 6/7)

 Summer 1

Year 4

  • Add and subtract fractions with the same denominator

 Spring 3

Fractions, solve problems

Year 3

  • Solve problems that involve adding and subtracting fractions with the same denominator and comparing and ordering fractions with the same denominator.

 Spring 5, summer 1

Year 4

  • Solve problems that involve increasingly harder fractions to calculate quantities and fractions to divide quantities, including non-unit fractions where the answer is a whole number

 Spring 3

Decimals, recognise and write

Year 4

  • Recognise and write decimal equivalents of any number of tenths or hundredths
  • Recognise and write decimal equivalents to ¼, ½ and ¾

 Spring 4, summer 1

Decimals, compare

Year 4

    • Round decimals with one decimal place to the nearest whole number
    • Compare numbers with the same number of decimal places up to two decimal places

     Summer 1

    Decimals, calculations and problems

    Year 4

    • Find the effect of dividing a one or two-digit number by 10 or 100, identifying the value of the digits in the answer as ones, tenths and hundredths

     Spring 4

    Fractions, decimals and percentages

    Year 4

    • Solve simple measure and money problems involving fractions and decimals to two decimal places

     Spring 3 and 4, summer 1

    Algebra

    Year 3

    • Solve problems, including missing number problems

     Throughout the year, although algebraic notation is not introduced until Year 6

    Measurement: using measures

    Year 3

    • Measure, compare, add and subtract: lengths (m, cm, mm), mass (kg/g), volume/capacity (l/ml)

     Spring 4, summer 4

    Year 4

    • Convert between different units of measure (ie. Km to m; hour to minute)
    • Estimate, compare and calculate different measures

     Autumn 3, spring 2, summer 3

    Measurement: money

    Year 3

    • Add and subtract amounts of money to give change, using both £ and p in practical contexts

     Spring 2

    Year 4

    • Estimate, compare and calculate different measures, including money in pounds and pence

     Summer 2

    Measurement: time

    Year 3

    • Tell and write the time from an analogue clock, including using Roman numerals from I to XII and 12 hour and 24 hour clocks
    • Estimate and read time with increasing accuracy to the nearest minute; record and compare time in terms of seconds, minutes and hours using vocabulary such as o’clock, am/pm, morning, afternoon, noon and midnight
    • Know that there are 60 seconds in a minute and the number of days in each month, year and leap year
    • Compare durations of events (ie. Time taken by particular events or tasks)

     Summer 2

    Year 4

    • Read, write and convert between analogue and digital 12 and 24 hour clocks
    • Solve problems involving converting from hours to minutes, minutes to seconds, years to months and weeks to days

     Summer 3

    Measurement: perimeter, area, volume

    Year 3

    • Measure the perimeter of simple 2D shapes

     Spring 4

    Year 4

    • Measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres
    • Find the area of rectilinear shapes by counting squares

     Autumn 3, spring 2

    Geometry: 2D shapes

    Year 3

    • Draw 2D shapes

     Summer 3

    Year 4

    • Compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes
    • Identify lines of symmetry in 2D shapes presented in different orientations

     Summer 5

    Geometry: 3D shapes

    Year 3

    • Make 3D shapes using modelling materials; recognise 3D shapes in different orientations and describe them

     Summer 3

    Geometry: Angles and lines

    Year 3

    • Recognise angles as a property of shape or a description of a turn
    • Identify right angles, recognise that two right angles make a half-turn, three make three quarters of a turn and four a complete turn
    • Identify whether angles are greater than or less than a right angle
    • Identify horizontal and vertical lines and pairs of parallel and perpendicular lines

     Summer 3

    Year 4

    • Identify acute and obtuse angles and compare and order angles up to two right angles by size
    • Identify lines of symmetry in 2D shapes presented in different orientations
    • Complete a simple symmetric figure with respect to a specific line of symmetry

     Summer 3

    Geometry: position and direction

    Year 4

    • Describe positions on a 2D grid as coordinates in the first quadrant
    • Describe movements between positions as translations of a given unit to the left/right and up/down
    • Plot specified points and draw sides to complete a given polygon

     Summer 6

    Statistics: present and interpret

    Year 3

    • Interpret and present data using bar charts, pictograms and tables

     Spring 3

    Year 4

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

     Summer 4

    Statistics: solve problems

    Year 3

    • Solve one-step and two-step questions (ie. How many more? How many fewer?) using information presented in scaled bar charts, pictograms and tables

     Spring 3

    Year 4

    • Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs

     Summer 4