## Year 1 Numeracy

Year 1

Number- Number and Place

Pupils should be taught to:

 count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number

 count, read and write numbers to 100 in numerals; count in multiples of twos, fives and tens

 given a number, identify one more and one less

 identify and represent numbers using objects and pictorial representations including the number line, and use the language of: equal to, more than, less than (fewer), most, least

 read and write numbers from 1 to 20 in numerals and words

Pupils should be taught to:

 read, write and interpret mathematical statements involving addition (+), subtraction (–) and equals (=) signs

 represent and use number bonds and related subtraction facts within 20

 add and subtract one-digit and two-digit numbers to 20, including zero

 solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as 7 = ?– 9.

Number-Multiplication and Division

Pupils should be taught to:

 solve one-step problems involving multiplication and division, by calculating the answer using concrete objects, pictorial representations and arrays with the support of the teacher.

Number- Fractions

Pupils should be taught to:

 recognise, find and name a half as one of two equal parts of an object, shape or quantity

 recognise, find and name a quarter as one of four equal parts of an object, shape or quantity.

Measurement

Pupils should be taught to:

 compare, describe and solve practical problems for:

 lengths and heights [for example, long/short, longer/shorter, tall/short, double/half]

 mass/weight [for example, heavy/light, heavier than, lighter than]

 capacity and volume [for example, full/empty, more than, less than, half, half full, quarter]

 time [for example, quicker, slower, earlier, later]

 measure and begin to record the following:

 lengths and heights

 mass/weight

 capacity and volume

 time (hours, minutes, seconds)

 recognise and know the value of different denominations of coins and notes

 sequence events in chronological order using language [for example, before and after, next, first, today, yesterday, tomorrow, morning, afternoon and evening]

 recognise and use language relating to dates, including days of the week, weeks, months and years

 tell the time to the hour and half past the hour and draw the hands on a clock face to show these times.

Geometry- Property of Shape

Pupils should be taught to:

 recognise and name common 2-D and 3-D shapes, including:

 2-D shapes [for example, rectangles (including squares), circles and triangles]

 3-D shapes [for example, cuboids (including cubes), pyramids and spheres].

Geometry- Position and Direction

Pupils should be taught to:

 describe position, direction and movement, including whole, half, quarter and three quarter turns.

## Year 2 Numeracy

Year 2

Number- Number and Place

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.

Pupils should be taught 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  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 1/3, 1/4, 2/4 and 3/4 of a length, shape, set of objects or quantity

 write simple fractions for example, 1/2 of 6 = 3 and recognise the equivalence of 2/4 and 1/2.

Measurement

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- Property of Shapes

Pupils should be taught to:

 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

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 anticlockwise).

Statistics

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