A-Level Maths Edexcel 9MA0

1.2: Algebra and functions

#1.2.1

Laws of indices

Use laws of indices Simplify zero index Simplify negative indices Simplify fractional indices

#1.2.2

Surds

Simplify surds Add and subtract surds Multiply and divide surds Expand brackets involving surds Rationalise denominator Rationalise denominator using conjugate Solve equations involving surds

#1.2.3

Quadratic functions

Use quadratic functions and graphs Use discriminant of a quadratic function Complete the square (a=1)Use quadratic models Solve quadratic equations by factorising Solve quadratic equations by completing the square Solve quadratic equations using quadratic formula Complete the square (a≠1)Solve quadratic equations in a function of the unknown

#1.2.4

Simultaneous equations

Solve simultaneous equations (two linear)Interpret simultaneous equations graphically Solve simultaneous equations (one linear and one quadratic)

#1.2.5

Linear and quadratic inequalities

Solving linear inequalities Solving quadratic inequalities Represent inequalities graphically

#1.2.6

Polynomials

Algebraic long division (linear)Factor theorem Expand product of two linear expressions Expand product of linear and quadratic Expand product of three or more linear expressions Factorise cubic polynomials Simplify algebraic fractions

#1.2.7

Graphs of functions

Sketch reciprocal graphs Sketch cubic graphs Sketch quartic graphs Solve linear modulus inequalities Express direct proportion Express inverse proportion Sketch modulus graphs (y=|ax+b|)Interpret algebraic solution of equations graphically

#1.2.8

Composite and inverse functions

Composite functions Inverse functions

#1.2.9

Transformations of functions

Apply a sequence of transformations Transform graphs (translations)Transform graphs (stretches)Transform graphs (reflections)

#1.2.10

Partial fractions

Partial fractions

#1.2.11

Use of functions in modelling

Use of functions in modelling

1.1

Proof

1.3

Coordinate geometry in the (x,y) plane

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