Hamstel Junior School
Hamstel Road, Southend on Sea, Essex, SS2 4PQ  01702 468048
Excellence in Everything
Year 5 Maths
Autumn Term
In the autumn term Year 5 children will:

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 multistep problems in contexts, deciding which operations and methods to use and why

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 twodigit number using a formal written method, including long multiplication for twodigit numbers

Multiply and divide numbers mentally drawing upon known facts

Divide numbers up to 4 digits by a onedigit 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
Spring Term
In the spring term Year 5 children will:

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

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
Summer Term
In the summer term Year 5 children will:

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

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