Autumn Term

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In the autumn term Year 5 children will:

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• Read, write, order and compare numbers up 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

• Add and subtract numbers mentally with increasingly large numbers

• Round any number up to 1 000 000 to the nearest 10, 100, 10 000 and 100 000

• Solve number problems and practical problems that involve ordering and comparing numbers to 1 000 000, count forwards or backwards in steps and round

• Add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction)

• Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why

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• Identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers

• Establish whether a number up to 100 is prime and recalls 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 interprets remainders appropriately for the context

• Multiply and divide whole numbers by 10, 100 and 1000

• 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 comparison, sum and difference problems using information presented in a line graph

• Complete, read and interpret information in tables, including timetables

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Spring Term

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In the spring term Year 5 children will:

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• Compare and order fractions whose denominators are all multiples of the same number

• Identify, name ad 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

• Add and subtract fractions with the same denominator and denominators that are multiples of the same number

• Multiply proper fractions and mixed numbers by the whole numbers, supported by materials a d diagrams

• Solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates

• Read and write decimal numbers as fractions

• Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents

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• Round decimals with two decimal places to the nearest whole number and to one decimal place

• Read, write, order and compare numbers with up to three decimal places

• Solve problems involving numbers up to three decimal places

• Multiply and divide decimals by 10, 100 and 1000

• Recognise the percent symbol (%) and understand that percent relates to 'number of parts per hundred' and write percentages as a fraction with denominator 100 and as a decimal

• Solve problems which require knowing percentage and decimal equivalents of 1/2, 1/4, 1/5, 2/5, 4/5 and those fractions with a denominator of a multiple if 10 or 25

• Know angles are measured in degrees: estimates and compares acute, obtuse and reflex angles

• Drawn given angles, and measure them in degrees

• Identify angles at a point and one whole turn (total 360°) on a straight line and 1/2 a turn (total 180°)

• Identify other multiples of 90°

• Use the properties of rectangles to deduce related facts and find missing lengths and angles 

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Summer Term

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In the summer term Year 5 children will:

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• Identify, describe and represent the postion of a shape following a reflection

• Use all four operations to solve problems involving length and mass, using decimal notion. including scaling

• Interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through zero

• Solve problems involving converting between units of time

• Use all four operations to solve problems involving money using decimal notation, including scaling

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• Measure and calculate the perimeter of composite rectilinear shapes in centimetre and metres

• Calculate and compare the area of rectangles (including squares) and including using standard, units, square centimetres (cm²) and square metres (m²) and estimate the area of irregular shapes

• Estimate volume e.g using 1cm³ blocks to build cuboids (including cubes) and capacity e.g using water

• Use all four operations to solve problems involving volume and capacity

• Use all four operations to solve problems involving volume, using decimal notation, including scaling

• Convert between different metric measurements (l to ml) and between metric and imperial units (l and pints)

• Read Roman Numerals to 1000 (M) and recognise years written in Roman numerals