# Year 3

#### Fractions, decimals and percentages

The Year 3 national curriculum introduces the following topics:

• 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, find and write fractions of a discrete set of objects:
unit fractions and non-unit fractions with small denominators
• recognise and use fractions as numbers:
unit fractions and non-unit fractions with small denominators
• recognise and show, using diagrams, equivalent fractions with small denominators
• add and subtract fractions with the same denominator within one whole [for example, 5/7 + 1/7 = 6/7 ]
• compare and order unit fractions, and fractions with the same denominators
• solve problems that involve all of the above

#### Measurement

The Year 3 national curriculum introduces the following topics:

• measure, compare, add and subtract:
lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml)
• measure the perimeter of simple 2-D shapes
• add and subtract amounts of money to give change, using both £ and p in practical contexts
• tell and write the time from an analogue 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, am/pm, 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]

#### Number and place value

The Year 3 national curriculum introduces the following topics:

• count from 0 in multiples of 4, 8, 50 and 100; find 10 or 100 more or less than a given number
• recognise the place value of each digit in a 3-digit number (100s, 10s, 1s)
• compare and order numbers up to 1,000
• identify, represent and estimate numbers using different representations
• read and write numbers up to 1,000 in numerals and in words
• solve number problems and practical problems involving these ideas

The Year 3 national curriculum introduces the following topics:

• add and subtract numbers mentally, including:
• a three-digit number and 1s
• a three-digit number and 10s
• a three-digit number and 100s
• add and subtract numbers with up to 3 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

#### Number: multiplication and division

The Year 3 national curriculum introduces the following topics:

• 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 that 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 objects

#### Statistics

The Year 3 national curriculum introduces the following topics:

• 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