 # Mathematical understanding

### Investigating, describing, interpreting, solving – our approach to maths will really get you thinking.

Working closely with science, our approach is about exploring and experimenting, playing and creating – and, above all, inspiring curiosity and challenging our pupils. ### View our maths curriculum:

Maths - curriculum summaries

## Year 3

### Number

• Partitioning numbers into multiples of 100, 10 and 1, counting on and back, rounding, estimating, ordering numbers to at least 1000, number sequences
• Number bonds to 100, doubles and near doubles, derive and recall all addition and subtraction facts for each number to 20
• Add or subtract mentally, develop written methods using a variety of strategies such as number lines and partitioning
• Multiplication and division, sharing /grouping, facts and related facts for the 2, 3, 4, 5, 6 and 10 times tables
• Solving word problems and puzzles

### Fractions

• Fractions of shapes and quantity

### Measures

• Length in centimetres and metres, weight, capacity, reading scales
• Time: analogue and digital, reading in five minutes intervals
• Money: value of coins, practical use of money

### Data handling

• Frequency tables, Venn diagrams, pictograms, bar charts and Carroll diagrams

### Space and shape

• Properties of 2D and 3D shapes, position and direction, line symmetry, reflections, angles

## Year 4

### Number

• Place Value to at least 10 000, negative numbers
• Number bonds to 20 and related facts, counting in steps, sequences including bridging, < > = symbols, doubling & halving, rounding
• Addition and subtraction of 10, 100, 1000, doubles and near doubles 1-50, informal and formal written methods
• Multiplication and division by 10 and 100, mental strategies, division with remainders, formal and informal written methods

### Fractions

• Ordering and equivalence, fractions of quantities and shapes, fractions greater or less than a half, subtracting fractions from 1, adding fractions to make 1

### Decimal fractions

• Decimal fractions to tenths and hundredths, ordering decimals, money and measures

### Percentages

• Concept, 10%, 25%, 50% and 75%, use of percentages to reduce prices

### Measures

• Length, including millimetres, mass and capacity including conversion between units and reading scales
• Time: analogue and digital, am and pm, timetables, intervals of time,
• Area and perimeter

### Data handling

• Tally charts, frequency tables, bar charts, Venn and Carroll diagrams

### Space and shape

• 2D and 3D shapes, nets, co-ordinates in the first quadrant, line symmetry, angles and compass directions

## Year 5

### Number:

• Place value to millions
• Multiplication and division by 10/100/1000
• Multiplication and division: mental strategies, halving and doubling, multiples, divisibility by 2, 3, 4, 5, 10, 100, factors and remainders, linking multiplication and division, using and applying, times tables facts
• Estimating, rounding and ordering numbers
• Properties of number: number sequences, negative numbers, sequences and patterns, < and > symbols
• Addition and subtraction: doubles and near doubles, 50 to 100, doubles of multiples of 10, 100, to four digit numbers, with and without bridging, mental strategies, informal and standard written methods, linking addition and subtraction, using and applying, money problems
• Calculator work

### Fractions

• Place value, fractions of shapes, sets and quantities, equivalence, comparing and ordering

### Decimal fractions

• Decimal fractions to hundredths, addition and subtraction, multiplication and division, using and applying

### Percentages

• Concept, relationships, one whole is 100%

### Measures

• Length, weight, volume, capacity, area, time

### Data handling

• Reading tables, bar charts and line graphs, interpretation of databases, interpreting results, probability

### Space and shape

• Properties of 2D and 3D shapes including nets, line symmetry and translations, angles, co-ordinates

## Year 6

### Number

• Place value to 1000000 and above
• Multiplication and division by multiples of 10
• Multiplication and division facts: mental strategies, revision of short and long multiplication, short division formal written methods, remainders, introduction to long division, alternative methods of multiplication, using and applying, revision of times tables
• Estimating, rounding and ordering numbers
• Properties of numbers: number sequences, negative numbers, square numbers, prime numbers, odd and even numbers, < and > symbols
• Addition and subtraction strategies revision
• Algebra: collecting like terms, simplification and simple equations
• BIDMAS: using excel to create formulae
• Calculator work

### Fractions

• Place value, notation, terminology, equivalence, comparing and ordering, fractions of more complicated numbers, using and applying, converting mixed numbers to improper fractions and vice versa

### Decimal fractions

• Addition and subtraction, multiplication and division, rounding, converting decimals to vulgar fractions, using and applying, money

### Percentages

• Link with fractions and decimals, of a set or quantity, comparing and ordering

### Measures

• Length, area and perimeter, weight, time, volume and capacity, converting metric units, money investigations

### Data handling

• Using ICT to represent data, mean, mode, median and range, interpreting results, bar charts, pie charts, trend graphs, spreadsheets and scatter diagrams, probability

### Space and shape

• Properties of 2D and 3D shapes including nets, reflections, rotations, translations, co-ordinates in all four quadrants, area and perimeter of 2D shapes using formulae