By the end of Year Four, children should be able to:

• Count backwards through zero to include negative numbers
• Recognise the place value of each digit in a four-digit number
• Round any number to the nearest 10, 100 or 1000
• 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
• Recognise that hundredths arise when dividing an object by one hundred and dividing tenths by ten.
• Recognise and write decimal equivalents to 1⁄4, 1⁄2 and 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
• Convert between different units of measure; estimate, compare and calculate different measures, including money in pounds and pence
• Find the area of rectilinear shapes by counting squares
• 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 properties and sizes
• 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