# Year 4 Mathematics

## Autumn

### Number and Place Value

• Count in multiples of 6, 7, 9, 25 and 1000.
• 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
• Identify, represent and estimate numbers using different representations.
• 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.
• Count backwards through zero to include negative numbers.

• Add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate.
• Estimate and use inverse operations to check answers to a calculation.
• Solve addition and subtraction two step problems in contexts, deciding which operations and methods to use and why.

### Measurement: length and perimeter

• Measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres
• Convert between different units of measure [for example, kilometre to metre]

### Multiplication and Division

• Recall and use multiplication and division facts for multiplication tables up to 12 × 12.
• Count in multiples of 6, 7, 9. 25 and 1000
• 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.
• 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

### Number: multiplication and division

• Recall and use multiplication and division facts for multiplication tables up to 12 × 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.
• Multiply two digit and three digit numbers by a one digit number using formal written layout.
• 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.

### Measurement: area

• Find the area of rectilinear shapes by counting squares.

### Number: fractions

• Recognise and show, using diagrams, families of common equivalent fractions.
• Count up and down in hundredths; recognise that hundredths arise when dividing an object by one hundred and dividing tenths by ten.
• Solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including non-unit fractions where the answer is a whole number.
• Add and subtract fractions with the same denominator.

### Number: decimals

• Recognise and write decimal equivalents of any number of tenths or hundredths.
• 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
• Solve simple measure and money problems involving fractions and decimals to two decimal places.
• Convert between different units of measure [for example, kilometre to metre]

## Summer

### Number: decimals

• Compare numbers with the same number of decimal places up to two decimal places.
• Round decimals with one decimal place to the nearest whole number.
• Recognise and write decimal equivalents to quarter, half and three quarters.
• 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

### Measurement: money

• Estimate, compare and calculate different measures, including money in pounds and pence.
• Solve simple measure and money problems involving fractions and decimals to two decimal places.

### Measurement: time

• Convert between different units of measure [for example, kilometre to metre; hour to minute]
• Read, write and convert time between analogue and digital 12- and 24-hour clocks.
• Solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days.

### Statistics

• Interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs.
• Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs.

### Geometry: properties of shape

• Identify acute and obtuse angles and compare and order angles up to two right angles by size.
• Compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes.
• Identify lines of symmetry in 2-D shapes presented in different orientations.
• Complete a simple symmetric figure with respect to a specific line of symmetry.

### Geometry: position and direction

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