Key stage 1

Place value

Count to and across 100, forwards and backwards, beginning with 0 or 1, or from any given number
Count numbers to 100 in numerals; count in multiples of twos, fives and tens
Identify and represent numbers using objects and pictorial representations
Read and write numbers to 100 in numerals
Read and write numbers from 1 to 20 in numerals and words
Given a number, identify one more and one less

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

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

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
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

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

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

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

Recognise, find, name and write fractions:
- of a length, shape, objects or quantity
- of a length, shape, objects or quantity
- of a length, shape, objects or quantity
- of a length, shape, objects or quantity
Recognise the equivalence of and
Write simple fractions (i.e. of 6 = 3)

Solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems

Algebraic notation is not introduced until Year 6

Recognise and use the inverse relationship between addition and subtraction and use this to check calculations and solve missing number problems

Algebraic notation is not introduced until Year 6

Compare, describe and solve practical problems for:
- Lengths and heights
- Mass/weight
- Capacity and volume
- Time
- 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 (ie. Before, 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

Choose and use appropriate standard units to estimate and measure length and height in any direction (m/cm); mass (kg and g); temperature (°c); capacity (l/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

Recognise and name common 2D shapes (ie. rectangles including squares, circles and triangles)
Recognise and name common 3D shapes (ie. cuboids including cubes, pyramids and spheres)
Describe position, direction and movement, including whole, quarter and three-quarter turns

Identify and describe the properties of 2D shapes, including the number of sides and line symmetry in a vertical line
Identify 2D shapes on the surface of 3D shapes (ie, a circle on a cylinder or a triangle on a pyramid)
Compare and sort common 2D shapes and everyday objects
Recognise and name common 3D shapes (ie. cuboids including cubes, pyramids and spheres)
Compare and sort common 3D shapes and everyday objects
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)

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