
Objectives 
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Algebra 1a 
Laws of indices for all rational exponents. 



Use and manipulation of surds. 




Assessment 1a % Grade 



Algebra 1b 
Algebraic manipulation of polynomials, including expanding brackets and collecting like terms, and factorisation. 



Quadratic functions and their graphs. 



The discriminant of a quadratic function. 



Completing the square. Solution of quadratic equations. 



Assessment 1b % Grade 



Algebra 2 
Solution of linear and quadratic inequalities. 



Simultaneous equations (analytical solution by substitution) 



Graphs of functions; sketching curves defined by simple equations. 



Geometrical interpretation of algebraic solution of equations. Use of intersection points of graphs of functions to solve equations. 



Knowledge of the effect of simple transformations on the graph of as represented by , , , 



Assessment 2 % Grade 



Coordinate
geometry in the (x,y) plane

Equation of a straight line in forms , and 



Conditions for straight lines to be parallel or perpendicular 



Assessment 3 % Grade 



Sequences and series 
Sequences, including those given by a formula for the nth term and those generated by a simple relation in the form 



Arithmetic series (incl. formula for sum of first n natural numbers) 



Understanding of Î£ notation. 



Assessment 4 % Grade 



Differentiation 
The derivative of as the gradient of the tangent to the graph of at a point; the gradient of the tangent as a limit; interpretation as a rate of change. Second order derivatives. 



Differentiation of and related sums and differences. 



Applications of differentiation to gradients, tangents and normals. 



Assessment 5 % Grade 



Integration 
Indefinite integration as the reverse of differentiation 



Integration of 



Assessment 6 % Grade 



Mock 


