# Year 3 Mathematics

## Autumn

### Number: Place Value

• Identify, represent and estimate numbers using different representations.
• Find 10 or 100 more or less than a given number
• Recognise the place value of each digit in a three-digit number (hundreds, tens, ones).
• Compare and order numbers up to 1000
• Read and write numbers up to 1000 in numerals and in words.
• Solve number problems and practical problems involving these ideas.
• Count from 0 in multiples of 4, 8, 50 and 100

• Add and subtract numbers mentally, including: a three-digit number and ones; a three-digit number and tens; a three digit number and hundreds.
• Add and subtract numbers with up to three digits, using formal written methods of columnar addition and subtraction.
• Estimate the answer to a calculation and use inverse operations to check answers.
• Solve problems, including missing number problems, using number facts, place value, and more complex addition and subtraction.

### Multiplication and division

• Count from 0 in multiples of 4, 8, 50 and 100
• Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables.
• Write and calculate mathematical statements for multiplication and division using the multiplication tables they know, including for two-digit numbers times one-digit numbers, using mental and progressing to formal written methods.
• Solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objectives.

## Spring

### Number: multiplication and division

• Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables.
• Write and calculate mathematical statements for multiplication and division using the multiplication tables they know, including for two digit numbers times one-digit numbers, using mental and progressing to formal written methods.
• Solve problems, including missing number problems, involving multiplication and division, including positive integer scaling problems and correspondence problems in which n objects are connected to m objectives.

### Measurement: money

• Add and subtract amounts of money to give change, using both £ and p in practical contexts.

### Statistics

• Interpret and present data using bar charts, pictograms and tables.
• Solve one-step and two-step questions [for example, ‘How many more?’ and ‘How many fewer?’] using information presented in scaled bar charts and pictograms and tables.

### Length and perimeter

• Measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml).
• Measure the perimeter of simple 2D shapes.

### Number: fractions

• Count up and down in tenths;recognise that tenths arise from dividing an object into 10 equal parts and in dividing one-digit numbers or quantities by 10
• Recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators.
• Recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators.
• Solve problems that involve all of the above.

## Summer

### Number: fractions

• Count up and down in tenths; recognise that tenths arise from dividing an object into 10 equal parts and in dividing one-digit numbers or quantities by 10
• Recognise and use fractions as numbers: unit fractions and non-unit fractions with small denominators.
• Recognise, find and write fractions of a discrete set of objects: unit fractions and non-unit fractions with small denominators.
• Solve problems that involve all of the above.

### Measurement: time

• Tell and write the time from ananalogue clock, including using Roman numerals from I to XII and 12-hour and 24-hour clocks.
• Estimate and read time with increasing accuracy to the nearest minute.
• Record and compare time in terms of seconds, minutes and hours.
• Use vocabulary such as o’clock, a.m./p.m., morning, afternoon, noon and midnight.
• Know the number of seconds in a minute and the number of days in each month, year and leap year.
• Compare durations of events [for example to calculate the time taken by particular events or tasks].

### Geometry: properties of shape

• Recognise angles as a property of shape or a description of a turn.
• Identify right angles, recognise that two right angles make a half-turn, three make three quarters of a turn and four a complete turn; identify whether angles are greater than or less than a right angle.
• Identify horizontal and vertical lines and pairs of perpendicular and parallel lines.
• Draw 2-D shapes and make 3-D shapes using modelling materials.
• Recognise 3-D shapes in different orientations and describe them.

### Measurement: mass and capacity

• Measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml)