# Year 3

At the end of the year, most children should be able to:

Number and Place Value

• 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 three-digit number (hundreds, tens, ones);
• 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; and
• solve number problems and practical problems involving these ideas.

Calculation

• 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;
• 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; and
• solve problems using the above.

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, 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; and
• solve problems that involve all of the above.

Measurement

• 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, 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; and
• compare durations of events [for example, to calculate the time taken by particular events or tasks].

Geometry

• draw 2-D shapes and make 3-D shapes using modelling materials; recognise 3-D shapes in different orientations and describe them;
• 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; and
• identify horizontal and vertical lines and pairs of perpendicular and parallel lines.

Statistics

• interpret and present data using bar charts, pictograms and tables; and
• solve one-step and two-step questions using information presented in scaled bar charts and pictograms and tables.
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