## Year 4

· Count in multiples of 6, 7, 9, 25 and 1000.

· Find 1000 more or less than a given number.

· Count backwards through zero to include negative numbers.

· 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.

· 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.

· 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.

· Recall 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.

· 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.

· Recognise and write decimal equivalents of any number of tenths or hundredths.

· Recognise and write decimal equivalents to ¼, ½, ¾.

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

· 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.

· 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; hour to minute].

· Measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres.

· Find the area of rectilinear shapes by counting squares.

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

· 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.

· Compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes.

· Identify acute and obtuse angles and compare and order angles up to two right angles by size.

· 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.

· Describe positions on a 2-D 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.

· 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.

· Find 1000 more or less than a given number.

· Count backwards through zero to include negative numbers.

· 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.

· 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.

· 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.

· Recall 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.

· 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.

· Recognise and write decimal equivalents of any number of tenths or hundredths.

· Recognise and write decimal equivalents to ¼, ½, ¾.

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

· 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.

· 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; hour to minute].

· Measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres.

· Find the area of rectilinear shapes by counting squares.

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

· 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.

· Compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes.

· Identify acute and obtuse angles and compare and order angles up to two right angles by size.

· 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.

· Describe positions on a 2-D 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.

· 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.

__Back__