Front page resources › Year 5 Mathematics Curriculum Objectives
Year 5 Mathematics Curriculum Objectives
Number - number and place value
- (5N1) Count forwards or backwards in steps of powers of 10 for any given number up to 1,000,000
- (5N2) Read, write, order and compare numbers to at least 1,000,000
- (5N3a) Determine the value of each digit in numbers up to 1,000,000
- (5N3b) Read Roman numerals to 1,000 (M) and recognise years written in Roman numerals
- (5N4) Round any number up to 1,000,000 to the nearest 10, 100, 1,000, 10,000 and 100,000
- (5N5) Interpret negative numbers in context, count forwards and backwards with positive and negative whole numbers, including through zero
- (5N6) Solve number problems and practical problems that involve 5N1 - 5N5
Number - addition and subtraction
- (5C1) Add and subtract numbers mentally with increasingly large numbers
- (5C2) Add and subtract whole numbers with more than 4 digits, including using formal written methods (columnar addition and subtraction)
- (5C3) Use rounding to check answers to calculations and determine, in the context of a problem, levels of accuracy
- (5C4) Solve addition and subtraction multi-step problems in contexts, deciding which operations and methods to use and why
Number - multiplication and division
- (5C5a) Identify multiples and factors, including finding all factor pairs of a number, and common factors of two numbers
- (5C5b) Know and use the vocabulary of prime numbers, prime factors and composite (non-prime) numbers
- (5C5c) Establish whether a number up to 100 is prime and recall prime numbers up to 19
- (5C5d) Recognise and use square numbers and cube numbers, and the notation for squared (2) and cubed (3)
- (5C6a) Multiply and divide numbers mentally drawing upon known facts
- (5C6b) Multiply and divide whole numbers and those involving decimals by 10, 100 and 1,000
- (5C7a) 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
- (5C7b) 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
- (5C8a) Solve problems involving multiplication and division including using their knowledge of factors and multiples, squares and cubes
- (5C8b) Solve problems involving addition, subtraction, multiplication and division and a combination of these, including understanding the meaning of the equals sign
- (5C8c) Solve problems involving multiplication and division, including scaling by simple fractions and problems involving simple rates
Number - fractions (including decimals and percentages)
- (5F2a) 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 ]
- (5F2b) Identify, name and write equivalent fractions of a given fraction, represented visually, including tenths and hundredths
- (5F3) Compare and order fractions whose denominators are all multiples of the same number
- (5F4) Add and subtract fractions with the same denominator and denominators that are multiples of the same number
- (5F5) Multiply proper fractions and mixed numbers by whole numbers, supported by materials and diagrams
- (5F6a) Read and write decimal numbers as fractions [for example, 0.71 = 71/100]
- (5F6b) Recognise and use thousandths and relate them to tenths, hundredths and decimal equivalents
- (5F7) Round decimals with two decimal places to the nearest whole number and to one decimal place
- (5F8) Read, write, order and compare numbers with up to three decimal places
- (5F10) Solve problems involving number up to three decimal places
- (5F11) Recognise the per cent symbol (%) and understand that per cent relates to ‘number of parts per hundred’, and write percentages as a fraction with denominator 100, and as a decimal
- (5F12) 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 of 10 or 25
Measurement
- (5M4) Solve problems involving converting between units of time
- (5M5) Convert between different units of metric measure (for example, kilometre and metre; centimetre and metre; centimetre and millimetre; gram and kilogram; litre and millilitre)
- (5M6) Understand and use approximate equivalences between metric units and common imperial units such as inches, pounds and pints
- (5M7a) Measure and calculate the perimeter of composite rectilinear shapes in centimetres and metres
- (5M7b) 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
- (5M8) Estimate volume [for example, using 1 cm3 blocks to build cuboids (including cubes)] and capacity [for example, using water]
- (5M9a) Use all four operations to solve problems involving measure [for example, money] using decimal notation, including scaling
- (5M9b) Use all four operations to solve problems involving measure [for example, length] using decimal notation, including scaling
- (5M9c) Use all four operations to solve problems involving measure [for example, mass] using decimal notation, including scaling
- (5M9d) Use all four operations to solve problems involving measure [for example, volume] using decimal notation, including scaling
Geometry - properties of shapes
- (5G2a) Use the properties of rectangles to deduce related facts and find missing lengths and angles
- (5G2b) Distinguish between regular and irregular polygons based on reasoning about equal sides and angles
- (5G3b) Identify 3-D shapes, including cubes and other cuboids, from 2-D representations
- (5G4a) Know angles are measured in degrees: estimate and compare acute, obtuse and reflex angles
- (5G4b) Identify angles at a point and one whole turn (total 360), angles at a point on a straight line and 1/2 a turn (total 180 ) and other multiples of 90
- (5G4c) Draw given angles, and measure them in degrees
