Mathematics

The National Curriculum for Mathematics


Number & Place Value

Our children will 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 2s, 5s and 10s
◦given a number, identify 1 more and 1 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.

Addition & Subtraction

Our children will 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 0
◦solve one-step problems that involve addition and subtraction, using concrete objects and pictorial representations, and missing number problems such as 7 = ? – 9.

Multiplication & Division

Our children will 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.

Fractions

Our children will be taught to:
◦recognise, find and name a half as 1 of 2 equal parts of an object, shape or quantity
◦recognise, find and name a quarter as 1 of 4 equal parts of an object, shape or quantity

Measurement

Our children will 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

Properties of Shapes

Our children will 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]

Position and Direction

Our children will be taught to:
◦describe position, directions and movements, including whole, half, quarter and three-quarter turns.


Number & Place Value

Our children will be taught to:
◦count in steps of 2, 3, and 5 from 0, and in 10s from any number, forward and backward
◦recognise the place value of each digit in a two-digit number (10s, 1s)
◦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.

Addition & Subtraction

Our children will 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 1s
◦a two-digit number and 10s
◦2 two-digit numbers
◦adding 3 one-digit numbers

◦show that addition of 2 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 & Division

Our children will 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 2 numbers can be done in any order (commutative) and division of 1 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

Our children will 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

Our children will 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
◦If 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

Properties of Shapes

Our children will 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.

Position & Direction

Our children will 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).

Statistics

Our children will be taught to:
◦interpret and construct simple pictograms, tally charts, block diagrams and 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.