• 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.

• 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.

• 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.

• 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

• 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.

• 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.

• Describe position, direction and movement, including whole, half, quarter and three-quarter turns.

• 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 and 100:
  • fluently up to 20;
  • related facts 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.

• 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.

• Recognise, find, name and write fractions one third, one quarter, two quarters, and three quarters of a length, shape, set of objects or quantity.
• Write simple fractions for example, half of 6 = 3 and recognise the equivalence of two quarters and one half.

Measurement

• Choose and use appropriate standard units to estimate and measure to the nearest appropriate unit, using rulers, scales, thermometers and measuring vessels:
  • length/height in any direction (m/cm);
  • mass (kg/g);
  • temperature (°C);
  • capacity (litres/ml).
• 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 number of hours in a day.

• 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.

• 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.