The National Curriculum for Maths in Year 5

Number & Place Value

Our children will be taught to:

    • read, write, order and compare numbers to at least 1,000,000 and determine the value of each digit
    • count forwards or backwards in steps of powers of 10 for any given number up to 1,000,000
    • interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through 0
    • round any number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000 and 100,000
    • solve number problems and practical problems that involve all of the above
    • read Roman numerals to 1,000 (M) and recognise years written in Roman numerals.

Addition & Subtraction

Our children will be taught to:

    • add and subtract whole numbers with more than 4 digits,including using formal written methods (columnar addition and subtraction)
    • add and subtract numbers mentally with increasingly large numbers
    • use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy
    • solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why.

Multiplication & Division

Our children will be taught to:

    • identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers.
    • know and use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers
    • establish whether a number up to 100 is prime and recall prime numbers up to 19
    • multiply numbers up to 4 digits by a one- or two-digit number using a formal written method, including long multiplication for two-digit numbers
    • multiply and divide numbers mentally drawing upon known facts
    • divide numbers up to 4 digits by a one-digit number using the formal written method of short division and interpret remainders appropriately for the context
    • multiply and divide whole numbers and those involving decimals by 10, 100 and 1,000
    • recognise and use square numbers and cube numbers, and the notation for squared (²) and cubed (³)
    • solve problems involving multiplication and division, including using their knowledge of factors and multiples, squares and cubes
    • solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign
    • solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates.

Fractions (decimals & percentages)

Our children will be taught to:

    • compare and order fractions whose denominators are all multiples of the same number
    • identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths
    • recognise mixed numbers and improper fractions and convert from one form to the other and write mathematical statements > 1 as a mixed number [for example 2/5 + 4/5 = 6/5 = 1 1/5]
    • add and subtract fractions with the same denominator and denominators that are multiples of the same number
    • multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams
    • read and write decimal numbers as fractions [for example, 0.71 = 71/100]
    • recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents
    • round decimals with 2 decimal places to the nearest whole number and to 1 decimal place
    • read, write, order and compare numbers with up to 3 decimal places
    • solve problems involving number up to 3 decimal places
    • recognise the per cent symbol (%) and understand that per cent relates to “number of parts per 100”, and write percentages as a fraction with denominator 100, and as a decimal fraction
    • solve problems which require knowing percentage and decimal equivalents of 1/2, 1/4, 1/5, 2/5, 4/5 and fractions with a denominator of a multiple of 10 or 25.

Measurement

Our children will be taught to:

    • convert between different units of metric measure [for example, kilometre and metre; centimetre and metre; centimetre and millimetre; gram and kilogram; litre and millilitre]
    • understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pints
    • measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres
    • calculate and compare the area of rectangles (including squares) including using standard units, square centimetres (cm²) and square metres (m²) and estimate the area of irregular shapes
    • estimate volume [for example, using 1 cm³ blocks to build cuboids (including cubes)] and capacity [for example, using water]
    • solve problems involving converting between units of time
    • use all four operations to solve problems involving measure using decimal notation including scaling [for example, length, mass, volume, money].

Properties of Shape

Our children will be taught to:

    • identify 3-D shapes, including cubes and other cuboids, from 2-D representations
    • know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles
    • draw given angles, and measure them in degrees (°)
    • identify:
    • angles at a point and 1 whole turn (total 360°)
    • angles at a point on a straight line and half a turn (total 180°)
    • other multiples of 90°
    • use the properties of rectangles to deduce related facts and find missing lengths and angles
    • distinguish between regular and irregular polygons based on reasoning about equal sides and angles.

Position & Direction

Our children will be taught to:

    • identify, describe and represent the position of a shape following a reflection or translation, using the appropriate language, and know that the shape has not changed.

Statistics

Our children will be taught to:

    • solve comparison, sum and difference problems using information presented in a line graph
    • complete, read and interpret information in tables, including timetables.