Awards/certificates in mathematics skills (3847-21/22 ... - City & Guilds
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 />
at a po<strong>in</strong>t on a straight l<strong>in</strong>e (<strong>in</strong>clud<strong>in</strong>g right angles),<br />
perpendicular l<strong>in</strong>es and opposite angles at a vertex;<br />
• understand and use the angle properties of parallel<br />
and <strong>in</strong>tersect<strong>in</strong>g l<strong>in</strong>es, triangles and quadrilaterals;<br />
• calculate and use the sums of the <strong>in</strong>terior and<br />
exterior angles of polygons;<br />
• recall the properties and def<strong>in</strong>itions of special types<br />
of quadrilateral, <strong>in</strong>clud<strong>in</strong>g square, rectangle,<br />
parallelogram, trapezium, kite and rhombus;<br />
• recognise reflection and rotation symmetry of 2D<br />
shapes;<br />
• understand congruence and similarity;<br />
• use Pythagoras’ theorem <strong>in</strong> 2D and 3D;<br />
• use the trigonometrical ratios and the s<strong>in</strong>e and<br />
cos<strong>in</strong>e rules to solve 2D and 3D problems;<br />
• dist<strong>in</strong>guish between centre, radius, chord, diameter,<br />
circumference, tangent, arc, sector and segment;<br />
• understand and construct geometrical proofs us<strong>in</strong>g<br />
circle theorems;<br />
• use 2D representations of 3D shapes;<br />
• describe and transform 2D shapes us<strong>in</strong>g s<strong>in</strong>gle or<br />
comb<strong>in</strong>ed rotations, reflections, translations, or<br />
enlargements by a positive scale factor then use<br />
positive fractional and negative scale factors and<br />
dist<strong>in</strong>guish properties that are preserved under<br />
particular transformations;<br />
• use and <strong>in</strong>terpret maps and scale draw<strong>in</strong>gs;<br />
• understand and use the effect of enlargement for<br />
perimeter, area and volume of shapes and solids;<br />
• <strong>in</strong>terpret scales on a range of measur<strong>in</strong>g <strong>in</strong>struments<br />
and recognise the <strong>in</strong>accuracy of measurements;<br />
• convert measurements from one unit to another;<br />
• make sensible estimates of a range of measures;<br />
• understand and use bear<strong>in</strong>gs;<br />
Be able to calculate ratio and direct<br />
proportion (N1/L2.3 )<br />
• calculate the number of parts <strong>in</strong><br />
a given ratio<br />
• calculate quantities us<strong>in</strong>g ratio<br />
<strong>in</strong> the form of a:b:c<br />
• calculate direct proportion<br />
Number - decimals<br />
Be able to compare decimals<br />
(N2/L2.5 & N2/L2.10)<br />
• round numbers with three<br />
decimal places to two decimal<br />
places<br />
• round numbers with two<br />
decimal places to one decimal<br />
place<br />
• round numbers with one<br />
decimal place to a whole<br />
number<br />
• round answers from a<br />
calculator to an appropriate<br />
degree of accuracy<br />
• order decimals up to three<br />
places<br />
• compare decimals up to three<br />
places<br />
Qualification Handbook - <strong>Awards</strong>/Certificates <strong>in</strong> Mathematics Skills (<strong>3847</strong>-<strong>21</strong>/<strong>22</strong>/23) 70