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Awards/certificates in mathematics skills (3847-21/22 ... - City & Guilds

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Mathematics at L1<br />

GCSE Mathematics Functional Skills Mathematics Skills<br />

Assessment Skills Skill standards Coverage and range Outcomes<br />

Outcomes<br />

AO1 Recall and<br />

use their<br />

knowledge<br />

of the<br />

prescribed<br />

content.<br />

Number and algebra<br />

a) Understand and use whole<br />

numbers and understand negative<br />

numbers <strong>in</strong> practical contexts;<br />

• add, subtract, multiply and divide any<br />

number;<br />

• order rational numbers;<br />

• use the concepts and vocabulary of factor<br />

(divisor), multiple, common factor, highest<br />

common factor, least common multiple,<br />

prime number and prime factor<br />

decomposition;<br />

• use the terms square, positive and negative<br />

square root, cube and cube root;<br />

• use <strong>in</strong>dex notation for squares, cubes and<br />

powers of ten;<br />

• use <strong>in</strong>dex laws for multiplication and division<br />

of <strong>in</strong>teger<br />

• understand equivalent fractions, simplify<strong>in</strong>g<br />

a fraction by cancell<strong>in</strong>g all common factors;<br />

• add and subtract fractions;<br />

• use decimal notation and recognise that<br />

each term<strong>in</strong>at<strong>in</strong>g decimal is a fraction;<br />

• recognise that recurr<strong>in</strong>g decimals are exact<br />

fractions, and that some exact fractions are<br />

recurr<strong>in</strong>g decimals;<br />

• understand that ‘percentage’ means<br />

‘number of parts per 100’ and use this to<br />

compare proportions;<br />

• use percentages<br />

• <strong>in</strong>terpret fractions, decimals and<br />

percentages as operators;<br />

• use ratio notation, <strong>in</strong>clud<strong>in</strong>g reduction to its<br />

simplest form and its various l<strong>in</strong>ks to<br />

fraction notation;<br />

Represent<strong>in</strong>g<br />

1. Understand practical<br />

problems <strong>in</strong> familiar and<br />

unfamiliar contexts and<br />

situations, some of which<br />

are non-rout<strong>in</strong>e.<br />

2. Identify and obta<strong>in</strong><br />

necessary <strong>in</strong>formation to<br />

tackle the problem.<br />

3. Select <strong>mathematics</strong> <strong>in</strong><br />

an organised way to f<strong>in</strong>d<br />

solutions.<br />

b) Add, subtract, multiply and divide<br />

whole numbers us<strong>in</strong>g a range of<br />

strategies;<br />

c) Understand and use equivalences<br />

between common fractions, decimals<br />

and percentages;<br />

d) Add and subtract decimals up to<br />

two decimal places;<br />

e) Solve simple problems <strong>in</strong>volv<strong>in</strong>g<br />

ratio, where one number is a multiple<br />

of the other;<br />

f) Use simple formulae expressed <strong>in</strong><br />

words for one- or two-step<br />

operations;<br />

g) Solve problems requir<strong>in</strong>g<br />

calculation with common measures,<br />

<strong>in</strong>clud<strong>in</strong>g money, time, length,<br />

weight, capacity and temperature;<br />

h) Convert units of measure <strong>in</strong> the<br />

same system;<br />

i) Work out areas and perimeters <strong>in</strong><br />

Number - positive and negative<br />

numbers<br />

Be able compare numbers up to<br />

seven digits (N1/L1.1)<br />

• recognise numbers up to seven<br />

digits written <strong>in</strong> digit form and <strong>in</strong><br />

words<br />

• write numbers up to seven digits<br />

<strong>in</strong> digit form and <strong>in</strong> words<br />

• arrange numbers <strong>in</strong> order of<br />

value<br />

• use > to describe two different<br />

numbers up to seven digits<br />

• use < to describe two different<br />

numbers up to seven digits<br />

Be able to identify negative numbers<br />

<strong>in</strong> everyday situations (N1/L1.2)<br />

• def<strong>in</strong>e negative numbers<br />

• state the everyday situations<br />

when negative numbers are used<br />

Be able to add and subtract whole<br />

numbers up to seven digits (N1/L1.3)<br />

• add whole numbers up to seven<br />

digits us<strong>in</strong>g written and calculator<br />

methods<br />

• subtract whole numbers up to<br />

seven digits us<strong>in</strong>g written and<br />

calculator methods<br />

• check calculations us<strong>in</strong>g a<br />

calculator<br />

Qualification Handbook - <strong>Awards</strong>/Certificates <strong>in</strong> Mathematics Skills (<strong>3847</strong>-<strong>21</strong>/<strong>22</strong>/23) 52

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