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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 />

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

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