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# The curriculum for maths in Year 2

The principal focus of maths teaching in Key Stage 1 is to ensure that pupils develop confidence and mental fluency with whole numbers, counting, and place value. This should involve working with numerals, words, and the four operations, including with practical resources (for example, concrete objects and measuring tools).

At this stage, pupils should develop their ability to recognise, describe, draw, compare, and sort different shapes and use the related vocabulary. Teaching should also involve using a range of measures to describe and compare different quantities such as length, mass, capacity/volume, time, and money.

By the end of year 2, pupils should know the number bonds to 20 and be precise in using and understanding place value. An emphasis on practice at this early stage will aid fluency. Pupils should read and spell mathematical vocabulary, at a level consistent with their increasing word reading and spelling knowledge at Key Stage 1.

We’ve outlined England’s curriculum for Mathematics in Year 2 below. Follow the links for help and activities:

### Children will learn to:

• count in steps of 2, 3, and 5 from 0, and in tens from any number, forward and backward
• recognise the place value of each digit in a two-digit number (tens, ones)
• identify, represent and estimate numbers using different representations, including the number line
• compare and order numbers from 0 up to 100; use <, > and = signs
• read and write numbers to at least 100 in numerals and in words
• use place value and number facts to solve problems.

You’ll find a more detailed guide to number and place value, advice on how to help your child at home, and free activities on our Number & place value in Year 2 page.

### Children will learn to:

• solve problems with addition and subtraction:
• using concrete objects and pictorial representations, including those involving numbers, quantities and measures
• applying their increasing knowledge of mental and written methods.
• recall and use addition and subtraction facts to 20 fluently, and derive and use related facts up to 100
• add and subtract numbers using concrete objects, pictorial representations, and mentally, including:
• a two-digit number and ones
• a two-digit number and tens
• two two-digit numbers
• show that addition of two numbers can be done in any order (commutative) and subtraction of one number from another cannot
• recognise and use the inverse relationship between addition and subtraction and use this to check calculations and solve missing number problems.

### Children will learn to:

• recall and use multiplication and division facts for the 2, 5 and 10 multiplication tables, including recognising odd and even numbers
• calculate mathematical statements for multiplication and division within the multiplication tables and write them using the multiplication (×), division (÷) and equals (=) signs
• show that multiplication of two numbers can be done in any order (commutative) and division of one number by another cannot
• solve problems involving multiplication and division, using materials, arrays, repeated addition, mental methods, and multiplication and division facts, including problems in contexts.

You’ll find a more detailed guide to multiplication and division, advice on how to help your child at home, and free activities on our Multiplication & division in Year 2 page.

### Children will learn to:

• recognise, find, name and write fractions , and  of a length, shape, set of objects or quantity
• write simple fractions for example, of 6 = 3 and recognise the equivalence of  and .

You’ll find a more detailed guide to fractions, advice on how to help your child at home, and free activities on our Fractions in Year 2 page.

### Children will learn to:

• identify and describe the properties of 2D shapes, including the number of sides and line symmetry in a vertical line
• identify and describe the properties of 3D shapes, including the number of edges, vertices and faces
• identify 2D shapes on the surface of 3D shapes (for example, a circle on a cylinder and a triangle on a pyramid)
• compare and sort common 2D and 3D shapes and everyday objects.

You’ll find a more detailed guide to geometry, advice on how to help your child at home, and free activities on our Geometry in Year 2 page.

### Children will learn to:

• order and arrange combinations of mathematical objects in patterns and sequences
• use mathematical vocabulary to describe position, direction and movement, including movement in a straight line and distinguishing between rotation as a turn and in terms of right angles for quarter, half and three-quarter turns (clockwise and anti-clockwise).

You’ll find a more detailed guide to geometry, advice on how to help your child at home, and free activities on our Geometry in Year 2 page.

### Children will learn to:

• choose and use appropriate standard units to estimate and measure length/height in any direction (m/cm); mass (kg/g); temperature (°C); capacity (litres/ml) to the nearest appropriate unit, using rulers, scales, thermometers and measuring vessels
• compare and order lengths, mass, volume/capacity and record the results using >, < and =
• recognise and use symbols for pounds (£) and pence (p); combine amounts to make a particular value
• find different combinations of coins that equal the same amounts of money
• solve simple problems in a practical context involving addition and subtraction of money of the same unit, including giving change
• compare and sequence intervals of time
• tell and write the time to five minutes, including quarter past/to the hour and draw the hands on a clock face to show these times
• know the number of minutes in an hour and the number of hours in a day.

You’ll find a more detailed guide to measurement, advice on how to help your child at home, and free activities on our Measurement in Year 2 page.

### Children will learn to:

• interpret and construct simple pictograms, tally charts, block diagrams and tables
• ask and answer simple questions by counting the number of objects in each category and sorting the categories by quantity  