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

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

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GCSE Mathematics Functional Skills Mathematics Skills<br />

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

Outcomes<br />

• recognise correlation and draw and/or use l<strong>in</strong>es of<br />

best fit by eye, understand<strong>in</strong>g what these represent;<br />

• compare distributions and make <strong>in</strong>ferences;<br />

• compare distributions and make <strong>in</strong>ferences;<br />

• understand and use the vocabulary of probability<br />

and the probability scale;<br />

• understand and use estimates or measures of<br />

probability from theoretical models (<strong>in</strong>clud<strong>in</strong>g<br />

equally likely outcomes), or from relative frequency;<br />

• list all outcomes for s<strong>in</strong>gle events, and for two<br />

successive events, <strong>in</strong> a systematic way and derive<br />

related probabilities;<br />

• identify different mutually exclusive outcomes and<br />

know that the sum of the probabilities of all these<br />

outcomes is 1;<br />

• know when to add or multiply two probabilities: if A<br />

and B are mutually exclusive, then the probability of<br />

A or B occurr<strong>in</strong>g is P(A) + P(B), whereas if A and B are<br />

<strong>in</strong>dependent events, the probability of A and B<br />

occurr<strong>in</strong>g is P(A) × P(B);<br />

• use tree diagrams to represent outcomes of<br />

compound events, recognis<strong>in</strong>g when events are<br />

<strong>in</strong>dependent;<br />

• compare experimental data and theoretical<br />

probabilities;<br />

• understand that if they repeat an experiment, they<br />

may – and usually will – get different outcomes, and<br />

that <strong>in</strong>creas<strong>in</strong>g sample size generally leads to better<br />

estimates of probability and population<br />

characteristics.<br />

Number - percentages<br />

Be able to compare percentages<br />

(N2/L2.7)<br />

• order percentages for different<br />

situations<br />

• compare percentages for<br />

different situations<br />

Be able to calculate percentage<br />

<strong>in</strong>creases and decreases (N2/L2.7)<br />

• calculate percentage <strong>in</strong>creases<br />

for different situations<br />

• calculate percentage decreases<br />

for different situations<br />

• calculate results of percentage<br />

changes <strong>in</strong> different situations<br />

Be able to f<strong>in</strong>d percentage parts of<br />

quantities and measurements<br />

(N2/L2.8 & N2/L2.10)<br />

• calculate percentage parts of<br />

quantities and measurements<br />

us<strong>in</strong>g efficient written methods<br />

• calculate percentage parts of<br />

quantities and measurements<br />

us<strong>in</strong>g efficient calculator<br />

methods<br />

• calculate percentage parts of<br />

quantities and measurements<br />

us<strong>in</strong>g quick methods<br />

Be able to evaluate one number as<br />

a percentage of another (N2/L2.9)<br />

• calculate one number as a<br />

percentage of another<br />

Qualification Handbook - <strong>Awards</strong>/Certificates <strong>in</strong> Mathematics Skills (<strong>3847</strong>-<strong>21</strong>/<strong>22</strong>/23) 72

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