By the end of Year 4 most children should be able to:

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 four-digit number (thousands, hundreds, tens, and ones)

• order and compare numbers beyond 1000

• identify, represent and estimate numbers using different representations (objects, money)

• 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.

• 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   e.g  6 x 7 = 42,   42 ÷ 7 = 6

• solve addition and subtraction two-step 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 × 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  e.g. 1 and 6 are a factor pair of 6 since 1 x 6 = 6  and in any order in mental calculations i.e. swap numbers over and still get the same answer

• multiply two-digit and three-digit numbers by a one-digit number using formal written layout

• solve problems involving multiplying and adding, including using the distributive law to multiply two digit numbers by one digit- Example: 3  ×  (2 + 4) =  3 × 2 + 3 × 4 integer

• scaling problems and harder correspondence problems such as n objects are connected to m objects.

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 24-hour clocks

• solve problems involving converting from hours to minutes; minutes to seconds; years to months; weeks to days.

Fractions and 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 non-unit 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 41, 21, 43

• find the effect of dividing a one- or two-digit 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.

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 2-D shapes presented in different orientations

• complete a simple symmetric figure with respect to a specific line of symmetry.

Position and Direction

• describe positions on a 2-D 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.

Year 5

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