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Year 2

Year 2 Programme of Study


Number – Number and place value 

Pupils should be taught 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. 


Number – Addition and subtraction 

Pupils should be taught to:

·         solve problems with addition and subtraction:  using concrete objects and pictorial representations, including those involving numbers, quantities and measures

·         apply their 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, adding three one-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. 


Number – Multiplication and division 

Pupils should be taught 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. 


Number – Fractions 

Pupils should be taught to:

·         recognise, find, name and write fractions ⅓, ¼, 2/4 and ¾  of a length, shape, set of objects or quantity

·         write simple fractions for example, ½ of 6 = 3 and recognise the equivalence of 2/4  and ½. 



Pupils should be taught 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. 


Geometry – Properties of shapes 

Pupils should be taught to:

·         identify and describe the properties of 2D shapes, including the number of sides and  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. 


Geometry – Position and direction 

Pupils should be taught 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). 



Pupils should be taught to:

·         interpret and construct simple pictograms, tally charts, block diagrams and simple tables

·         ask and answer simple questions by counting the number of objects in each category and sorting the categories by quantity

·         ask and answer questions about totalling and comparing categorical data.