# Year 4

At the end of the year, most children should be able to:

Number and Place Value

• count in multiples of 6, 7, 9, 25 and 1,000;
• find 1,000 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 1,000;
• identify, represent and estimate numbers using different representations;
• round any number to the nearest 10, 100 or 1,000;
• solve number and practical problems that involve all of the above and with increasingly large positive numbers; and
• 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.

Calculation

• 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; and
• solve problems using the above.

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;
• recognise and write decimal equivalents of any number of tenths or hundredths;
• recognise and write decimal equivalents to 1/4, 1/2, 3/4;
• 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; and
• solve simple measure and money problems involving fractions and decimals to two decimal places.

Measurement

• 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; and
• solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days.

Geometry

• 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; and
• plot specified points and draw sides to complete a given polygon.

Statistics

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

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