Number

Pupils should be able to:

• 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
• 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 problems that involve all of the above.
• Read Roman numerals to 10

Addition (+) and Subtraction (-)

Pupils should be able to:

• Add and subtract numbers with up to 4 digits using the formal written methods of column 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.

Multiplication (x) and Division (÷)

Pupils should be able to:

• 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 including scaling problems and harder correspondence problems.

Statistics

Pupils should be able to:

• 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.

Measurement

Pupils should be able to:

• Convert between different units of measure [e.g. km to m, hour to minute.
• Measure and calculate the perimeter of rectangles (incl squares) in cm and m.
• Find the area of rectangles by counting squares
• Estimate, compare and calculate different measures, including money in £ and p.
• 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.

Shape

Pupils should be able to:

• 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 across a given line of symmetry.

Position and Direction

Pupils should be able to:

• 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

Fractions

Pupils should be able to:

• Recognise and show families of common equivalent fractions
• Count up and down in hundredths and understand they are 1/10 of 1/10, and 1/100 of one.
• Solve problems involving increasingly harder fractions (e.g. ¾ of 24)
• Add and subtract fractions with the same denominator.
• Recognise and write decimal equivalents of tenths or hundredths and ¼, ½, ¾
• Divide a one- or two-digit number by 10 and 100, identifying 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 places.