# 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*