Key Learning in Mathematics – Year 3

Number – number and place value Number – addition and subtraction Number – multiplication and division
·   Count from 0 in multiples of 4, 8, 50 and 100

·   Count up and down in tenths

·   Read and write numbers up to 1000 in numerals and in words

·   Read and write numbers with one decimal place

·   Identify, represent and estimate numbers using different representations (including the number line)

·   Recognise the place value of each digit in a three-digit number (hundreds, tens, ones)

·   Identify the value of each digit to one decimal place

·   Partition numbers in different ways (e.g. 146 = 100+ 40+6 and 146 = 130+16)

·   Compare and order numbers up to 1000

·   Compare and order numbers with one decimal place

·   Find 1, 10 or 100 more or less than a given number

·   Round numbers to at least 1000 to the nearest 10 or 100

·   Find the effect of multiplying a one- or two-digit number by 10 and 100, identify the value of the digits in the answer

·   Describe and extend number sequences involving counting on or back in different steps

·   Read Roman numerals from I to XII

·   Solve number problems and practical problems involving these ideas

·   Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method)

·   Select a mental strategy appropriate for the numbers involved in the calculation

·   Understand and use take away and difference for subtraction, deciding on the most efficient method for the numbers involved, irrespective of context

·   Recall/use addition/subtraction facts for 100 (multiples of 5 and 10)

·   Derive and use addition and subtraction facts for 100

·   Derive and use addition and subtraction facts for multiples of 100 totalling 1000

·   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

·   Choose an appropriate strategy to solve a calculation based upon the numbers involved (recall a known fact, calculate mentally, use a jotting, written method)

·   Understand that division is the inverse of multiplication and vice versa

·   Understand how multiplication and division statements can be represented using arrays

·   Understand division as sharing and grouping and use each appropriately

·   Recall and use multiplication and division facts for the 3, 4 and 8 multiplication tables

·   Derive and use doubles of all numbers to 100 and corresponding halves

·   Derive and use doubles of all multiples of 50 to 500

·   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

·   Use estimation to check answers to calculations and determine, in the context of a problem, an appropriate degree of accuracy

·   Solve problems, including missing number problems, involving multiplication and division (and interpreting remainders), including positive integer scaling problems and correspondence problems in which n objects are connected to m objects

Number – fractions Geometry – properties of shapes ·   Measure, compare, add and subtract: lengths (m/cm/mm); mass (kg/g); volume/capacity (l/ml)

·   Continue to estimate and measure temperature to the nearest degree (°C) using thermometers

·   Understand perimeter is a measure of distance around the boundary of a shape

·   Measure the perimeter of simple 2-D shapes

·   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/read time with increasing accuracy to the nearest minute

·   Record/compare time in terms of seconds, minutes, hours; use vocabulary such as o’clock, a.m./p.m., morning, afternoon, noon, 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]

·   Continue to recognise and use the symbols for pounds (£) and pence (p) and understand that the decimal point separates pounds/pence

·   Recognise that ten 10p coins equal £1 and that each coin is of £1

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

·   Show practically or pictorially that a fraction is one whole number divided by another (e.g. can be interpreted as 3 ÷ 4)

·   Understand that finding a fraction of an amount relates to division

·   Recognise that tenths arise from dividing objects 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, + = ]

·   Compare and order unit fractions, and fractions with the same denominators (including on a number line)

·   Count on and back in steps of , and

·   Solve problems that involve all of the above

·   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

·   Identify horizontal and vertical lines and pairs of perpendicular and parallel lines

Geometry – position and direction
·   Describe positions on a square grid labelled with letters and numbers
·   Use sorting diagrams to compare and sort objects, numbers and common 2-D and 3-D shapes and everyday objects

·   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