### Mathematics — Year 2

Number and Place Value

• 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

• 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

Multiplication and Division

• 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.

Fractions

• Recognise, find, name and write fractions 1/3, ¼, 2/4 and 3/4 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 1/2

Measurement

• 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 ℗; 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 a Shape

• Identify and describe the properties of 2-D shapes, including the number of sides and line symmetry in a vertical line
• Identify and describe the properties of 3-D shapes, including the number of edges, vertices and faces
• Identify 2-D shapes on the surface of 3-D shapes, [for example, a circle on a cylinder and a triangle on a pyramid]
• Compare and sort common 2-D and 3-D shapes and everyday objects

Geometry — Position and Direction

• 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).

Statistics

• 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