Year 5 Mathematics Lesson Template printable pdf download

Year 5 Mathematics

Here are the key objectives that your child will cover in the Summer term

Number, Place Value and Rounding

Calculation



Interpret negative numbers in



Add and subtract whole numbers with more than 4 digits, and decimals up

context, count forwards and

to two places, including using efficient written methods (columnar addition

backwards with positive and

and subtraction)

negative whole numbers, including



Add and subtract numbers mentally with increasingly large numbers

through zero



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



Find the difference between a



Multiply numbers up to 4 digits by a one- or two-digit number using an

positive and a negative integer, or

efficient written method, including long multiplication for two-digit numbers

two negative integers, in context



Multiply and divide numbers mentally, drawing upon known facts



Round any number up to 1,000,000



Divide numbers up to 4 digits by a one digit number using the efficient

to the nearest 10, 100, 1000, 10,000

written method of short division and interpret remainders approximately for

and 100,000

the context



Round numbers to 1, 2 and 3



Identify multiples and factors, including finding all factor pairs

decimal places to the nearest



Know and use the vocabulary of prime numbers, prime factors and

whole number, tenth and

composite (non-prime) numbers

hundredth



Establish whether a number up to 100 is prime and recall prime numbers up



Solve number problems and

to 19

practical problems that involve all



Recognise and use square numbers and cube numbers, and the notation for

of the above

squared (

) and cubed (

)



Read Roman numerals to 1000 (M)



Solve problems involving addition, subtraction, multiplication and division

and recognise years written in

and a combination of these, including understanding the meaning of the

Roman numerals

equals sign



Solve problems involving multiplication and division, including using their

knowledge of factors and multiples, squares and cubes

Fractions

Measurement



Recognise mixed numbers and improper fractions and convert



Convert between different units of measure

from one form to the other

(e.g. kilometre and metre; metre and



Add and subtract fractions with the same denominator and

centimetre; centimetre and millimetre;

denominators that are multiples of the same number

kilogram and gram; litre and millilitre)



Write mathematical statements >1 as a mixed number (e.g. 2/5 +



Solve problems involving addition and

4/5 = 6/5 = 1 1/5)

subtraction of units of measure (e.g. length,



Multiply proper fractions and mixed numbers by whole numbers,

mass, volume, money) using decimal notation

supported by materials and diagrams



Understand and use basic equivalences



Position decimals with two decimal places on a number line

between metric and common imperial units



Solve problems involving numbers up to three decimal places

and express them in approximate terms



Solve problems which require knowing percentage and decimal



Read time and timetables using 24-hour clock

equivalents of ½, ¼, 1/5, 2/5, 4/5 and those with a denominator of

notation

a multiple of 10 or 25



Use a calendar to calculate time intervals



Find fractions using division (e.g. 1/100 of 5kg), and percentages of



Solve problems involving converting between

numbers and quantities (e.g. 10%, 5% and 15% of £80)

units of time



Use the relationship between numbers to solve ratio and

proportion questions

Properties of Shapes

Position, Direction, Motion

Estimate, measure and draw a given angle, writing its size in degrees (

)

Identify, describe and represent



Identify and compare:

the position of a shape



Multiples of 90

following a reflection or



Angles at a point on a straight line and ½ a turn (total 180

)

translation, using the



Angles at a point and one whole turn (total 360

)

appropriate language, and



Reflex angles

know that the shape has not



Draw shapes using given dimensions and angles

changed



State and use the properties of a rectangle (including squares) to deduce



Read and plot coordinates in all

related facts

four quadrants



Complete patterns with up to two lines of symmetry

Statistics

Ratio and Proportion



Plan and pursue an enquiry; present evidence by



Solve problems involving the relative sizes of two

collecting, organising and interpreting information;

quantities, where missing values can be found by

suggest extensions to the enquiry

using integer multiplication and division facts



Answer a set of related questions by collecting, selecting



Solve problems involving the calculation of

and organising relevant data; draw conclusions, using ICT

percentages (e.g. of measures and such as 15% of

to present features, identify further questions to ask

360) and the use of percentage for comparison



Construct frequency tables, pictograms and bar and line



Solve problems involving similar shapes where the

graphs to represent the frequencies of events and

scale factor is known or can be found

changes over time



Solve problems involving unequal sharing and



Solve comparison, sum and difference problems using

grouping using knowledge of fractions and multiples

information presented in line graphs



Find and interpret the mode of a set of data

Year 5 Mathematics Lesson Template

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