Mathemateg Ychwanegol Lefel 2
Algebra
Symleiddio mynegiadau rhifiadol sy'n cynnwys syrdiau. Deall a defnyddio indecsau a gwerthoedd negatif a ffracsiynol. Ffactorio mynegiadau cwadratig. Datrys hafaliadau cwadratig trwy ffactorio. Llunio a thrin hafaliadau cwadratig. Symleiddio mynegiadau sy'n cynnwys ffracsiynau. Datrys hafaliadau algebraidd sy'n cynnwys ffracsiynau. Cwblhau'r sgwar. Theorem y gweddill. Theorem y ffactor. Prawf algebraidd. Datrys un hafaliad llinol ac un hafaliad cwadratig. Geometreg Gyfesurynnol Pellter rhwng dau bwynt. Graddiant y llinell syth sy'n cysylltu dau bwynt. Hafaliadau llinell syth. Hafaliadau llinellau sy'n baralel ac sy'n berpendicwlar i linell benodol. Croestoriad llinell syth a chromlin. Mesureg Mesur yn cynnwys pellter ac onglau, i siapiau plan a solidau mwy cymhleth, yn cynnwys arcau crwn, silindrau, conau a sfferau. Calcwlws Darganfod dy/dx o egwyddorion cyntaf. Differu symiau a gwahaniaethau cysylltiedig. Ail ddeilliadau mewn achosion syml. Hafaliadau tangiadau. Gwerthoedd uchaf ac isaf. Integru fel gwrthdro i ddifferu. Integrynnau amhendant. Enrhifo integrynnau pendant. Cymwysiadau at arwynebeddau syml. Trigonometreg Cymarebau trigonometrig onglau. Gwerthoedd arbennig ar gyfer onglau. Problemau syml mewn tri dimensiwn. Graffiau ac ymddygiad ffwythiannau trigonometrig. |
Level 2 Additional MathematicsAlgebra
Simplify numerical expressions involving surds. Understand and use indices with negative and fractional indices. Factorisation of quadratic expressions. Solution of quadratic equations by factorisation. Formation and manipulation of quadratic equations. Simplify expressions involving fractions. Solution of algebraic equations involving fractions. Completing the square. Remainder theorem. Factor theorem. Algebraic proof. Solution of one linear and one quadratic equation. Co-ordinate Geometry Distance between two points. Gradient of the straight line joining two points. Equation of a straight line. Equations of lines parallel and perpendicular to a given line. Intersection of a straight line with a curve. Mensuration Measurement including distances and angles, to more complex plane shapes and colids, including circular arcs, cylinders, cones and spheres. Calculus Find dy/dx from first principles. Differentiation of related sums and differences. Second derivatives in simple cases. Equations of tangent. Maximum and minimum values. Integration as the reverse of differentiation. Indefinite integrals. Evaluation of definite integrals. Applications to simple areas. Trigonometry Trigonometric ratios of angles. Special values for angles. Simple problems in three dimensions. Graphs and behaviour of trigonometric functions. |
Manyleb CBAC / WJEC Syllabus
Dyma fanyleb CBAC ar gyfer y cymhwyster, sydd ar gael yn ddwyieithog.
Here is the WJEC syllabus for the qualification, which is available bilingually. |
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