Year 3
The following ongoing objectives are taught throughout our topics, whenever possible:
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 threedigit number (hundreds, tens, ones).
 Compare and order numbers up to 1000.
 Identify, represent and estimate numbers using different representations.
 Read and write numbers up to 1000 in numerals and in words.
 Solve number problems and practical problems involving these ideas.

Addition and subtraction 
 Add and subtract numbers mentally, including:
 a threedigit number and ones;
 a threedigit number and tens;
 a threedigit 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 
 Recall and use multiplication and division facts for the 3x, 4x and 8x multiplication tables.
 Write and calculate mathematical statements for multiplication and division using the multiplication tables that they know, including for twodigit numbers times onedigit 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.

The following objectives are taught as topics:
Fractions 
 Count up and down in tenths; recognise that tenths arise from dividing an object into 10 equal parts and in dividing onedigit numbers or quantities by 10.
 Recognise, find and write fractions of a discrete set of objects: unit fractions and nonunit fractions with small denominators.
 Recognise and use fractions as numbers: unit fractions (numerator of 1) and nonunit 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 sevenths + 1 seventh = 6 sevenths.
 Compare and order unit fractions, and fractions with the same denominators.
 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 2D 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 and 12hour and 24hour clocks;
 an analogue clock, including using Roman numerals from I to XII.
 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 shapes 
 Draw 2D shapes and make 3D shapes using modelling materials.
 Recognise 3D 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 halfturn, 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 
 Interpret and present data using bar charts, pictograms and tables.
 Solve onestep and twostep questions, for example ‘How many more?’ and ‘How many fewer?’ using information presented in scaled bar charts and pictograms and tables.

Year 4
The following ongoing objectives are taught throughout our topics, whenever possible:
Number and place value 
 Count in multiples of 6, 7, 9, 25 and 1000.
 Find 1000 more or less than a given number.
 Count backwards through zero to include negative numbers.
 Recognise the place value of each digit in a fourdigit number (thousands, hundreds, tens, and ones).
 Order and compare numbers beyond 1000.
 Identify, represent and estimate numbers using different representations.
 Round any number to the nearest 10, 100 or 1000.
 Solve number and practical problems that involve all of the above and with increasingly large positive numbers.
 Read Roman numerals to 100 (I to C) and know that over time, the numeral system changed to include the concept of zero and place value.

Addition and subtraction 
 Add and subtract numbers with up to 4 digits using the formal written methods of columnar addition and subtraction where appropriate.
 Estimate and use inverse operations to check answers to a calculation.
 Solve addition and subtraction twostep problems in contexts, deciding which operations and methods to use and why.

Multiplication and division 
 Recall multiplication and division facts for multiplication tables up to 12 x 12.
 Use place value, known and derived facts to multiply and divide mentally, including:
 multiplying by 0 and 1;
 dividing by 1;
 multiplying together three numbers.
 Recognise and use factor pairs and commutativity in mental calculations.
 Multiply twodigit and threedigit numbers by a onedigit number using formal written layout.
 Solve problems involving multiplying and adding, including using the distributive law to multiply twodigit numbers by one digit, integer scaling problems and harder correspondence problems such as n objects are connected to m objects.

The following objectives are taught as topics:
Fractions (including decimals) 
 Recognise and show, using diagrams, families of common equivalent fractions.
 Count up and down in hundredths; recognise that hundredths arise when dividing an object by one hundred and dividing tenths by ten.
 Solve problems involving increasingly harder fractions to calculate quantities, and fractions to divide quantities, including nonunit fractions where the answer is a whole number.
 Add and subtract fractions with the same denominator.
 Recognise and write decimal equivalents of any number of tenths or hundredths.
 Recognise and write decimal equivalents to one quarter, one half, and three quarters.
 Find the effect of dividing a one or twodigit number by 10 and 100, identifying the value of the digits in the answer as ones, tenths and hundredths.
 Round decimals with one decimal place to the nearest whole number.
 Compare numbers with the same number of decimal places up to two decimal places.
 Solve simple measure and money problems involving fractions and decimals to two decimal places.

Measurement

 Convert between different units of measure, for example kilometre to metre; hour to minute.
 Measure and calculate the perimeter of a rectilinear figure (including squares) in centimetres and metres.
 Find the area of rectilinear shapes by counting squares.
 Estimate, compare and calculate different measures, including money in pounds and pence.
 Read, write and convert time between analogue and digital 12 and 24hour clocks.
 Solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days.

Geometry: properties of shapes 
 Compare and classify geometric shapes, including quadrilaterals and triangles, based on their properties and sizes.
 Identify acute and obtuse angles and compare and order angles up to two right angles by size.
 Identify lines of symmetry in 2D shapes presented in different orientations.
 Complete a simple symmetric figure with respect to a specific line of symmetry.

Geometry: position and direction 
 Describe positions on a 2D grid as coordinates in the first quadrant.
 Describe movements between positions as translations of a given unit to the left/right and up/down.
 Plot specified points and draw sides to complete a given polygon.

Statistics 
 Interpret and present discrete and continuous data using appropriate graphical methods, including bar charts and time graphs.
 Solve comparison, sum and difference problems using information presented in bar charts, pictograms, tables and other graphs.
