1 
Initial Assessment 
Initial Assessment 


2 
N
Indices 
Adding indices when multiplying terms with the same bas… 


3 
N
Indices 
Subtracting indices when dividing terms with the same b… 


4 
N
Indices 
Multiplying indices when raising a power to a power 


5 
N
Indices 
Multiplying indices when raising to more than one term 


6 
N
Indices 
Terms raised to the power of zero 


7 
N
Indices 
Negative Indices 


8 
N
Indices 
Fractional indices 


9 
N
Indices 
Complex fractions as indices 


10 
N
Surds 
Introducing surds 


11 
N
Surds 
Some rules for the operations with surds 


12 
N
Surds 
Simplifying surds 


13 
N
Surds 
Creating entire surds 


14 
N
Surds 
Adding and subtracting like surds 


15 
N
Surds 
Expanding surds 


16 
N
Surds 
Conjugate binomials with surds 


17 
N
Surds 
Rationalising the denominator 


18 
N
Surds 
Rationalising binomial denominators 


19 
N
Surds 
Graphing irrational roots 


20 
A
Equations 
Simultaneous equations 


21 
A
Equations 
Elimination method 


22 
A
Equations 
Elimination method part 2 


23 
A
Equations 
Applications of simultaneous equations 


24 
A
Inequalities 
Solving Inequalities. 


25 
A
Simplifying 
Simplifying algebraic fractions. 


26 
A
Simplifying 
Simplifying algebraic fractions using the index laws. 


27 
A
Simplifying 
Algebraic fractions resulting in negative indices. 


28 
A
Simplifying 
Cancelling binomial factors in algebraic fractions. 


29 
A
Factorising 
Common factor and the difference of two squares 


30 
A
Factorising 
Factorising quadratic trinomials [monic] – Case 2. 


31 
A
Factorising 
Factorising quadratic trinomials [monic] – Case 3. 


32 
A
Factorising 
Factorising quadratic trinomials [monic] – Case 4. 


33 
A
Factorising 
Factorisation of nonmonic quadratic trinomials 


34 
A
Factorising 
Factorisation of nonmonic quadratic trinomials – moon … 


35 
A
Roots 
Difference of two squares 


36 
A
Roots 
Quadratic equations with factorisation. 


37 
A
Roots 
Solving quadratic equations. 


38 
A
Roots 
Completing the square 


39 
A
Roots 
Solving quadratic equations by completing the square 


40 
A
Roots 
The quadratic formula 


41 
A
Roots 
Problem solving with quadratic equations 


42 
A
Roots 
Solving simultaneous quadratic equations graphically 


43 
A
Graphs 
Quadratic polynomials of the form y = ax. + bx + c. 


44 
A
Graphs 
Graphing perfect squares: y=(ax) squared 


45 
A
Graphs 
Solve by graphing 


46 
A
Graphs 
Graphing complex polynomials: quadratics with no real r… 


47 
A
Graphs 
General equation of a circle: determine and graph the e… 


48 
A
Graphs 
Graphing cubic curves 


49 
A
Graphs 
Graphs of polynomials 


50 
A
Polynomials 
Introduction to polynomials 


51 
A
Polynomials 
The sum, difference and product of two polynomials. 


52 
A
Polynomials 
Polynomials and long division. 


53 
A
Polynomials 
Polynomial equations 


54 
A
Factor theorem 
The factor theorem 


55 
A
Factor theorem 
More on the factor theorem 


56 
A
Factor theorem 
Complete factorisations using the factor theorem 


57 
A
Factorising 
Expansions leading to the difference of two squares 


58 
A
Remainder theorem 
The remainder theorem. 


59 
A
Remainder theorem 
More on remainder theorem 


60 
A
Modulus 
Absolute value equations 


61 
A
Roots 
Sum and difference of two cubes. 


62 
A
Roots 
Sum and product of roots of quadratic equations 


63 
A
Roots 
Sum and product of roots of cubic and quartic equations 


64 
A
Roots 
Methods of approximating roots 


65 
A
Proofs 
Inductive and deductive reasoning 


66 
A
Proofs 
Definition and use of counter examples 


67 
A
Proofs 
Indirect proofs 


68 
A
Proofs 
Mathematical induction 


69 
A
Proofs 
Conditional statements (converse, inverse and contrapos… 


70 
G
Transformations 
Use grids to enlarge/reduce 2D shapes 


71 
G
Transformations 
Special transformations – reflections, rotations and en… 


72 
G
Transformations 
Transformations – reflections 


73 
G
Transformations 
The definition and concept of combined transformations … 


74 
G
Coordinate geometry 
Distance formula. 


75 
G
Coordinate geometry 
Midpoint formula 


76 
G
Coordinate geometry 
Gradient 


77 
G
Coordinate geometry 
Gradient formula. 


78 
G
Coordinate geometry 
The straight line. 


79 
G
Coordinate geometry 
Lines through the origin. 


80 
G
Coordinate geometry 
General form of a line and the x and y Intercepts. 


81 
G
Coordinate geometry 
Slope intercept form of a line. 


82 
G
Coordinate geometry 
Point slope form of a line 


83 
G
Coordinate geometry 
Two point formula: equation of a line which joins a pai… 


84 
G
Coordinate geometry 
Intercept form of a straight line: find the equation wh… 


85 
G
Coordinate geometry 
Parallel lines: identify equation of a line parallel to… 


86 
G
Coordinate geometry 
Perpendicular lines. 


87 
G
Coordinate geometry 
Perpendicular distance 


88 
G
Coordinate geometry 
Line through intersection of two given lines 


89 
G
Coordinate geometry 
Angles between two lines 


90 
G
Coordinate geometry 
Internal and external division of an interval 


91 
G
Coordinate Geometry 
Triangle inequality theorem 


92 
G
Circles 
The equation of a circle: to find radii of circles 


93 
G
Circles 
The semicircle: to select the equation given the semi c… 


94 
N
Surds 
Binomial expansions 


95 
N
Binomial 
Binomial products. 


96 
N
Binomial 
Binomial products with negative multiplier 


97 
N
Binomial 
Binomial products [nonmonic]. 


98 
N
Binomial 
Squaring a binomial. [monic] 


99 
N
Binomial 
Squaring a binomial [nonmonic]. 


100 
N
Probability 
Binomial Theorem – Pascal’s Triangle 


101 
AC
Differentiation 
Differentiation from first principles. 


102 
AC
Differentiation 
Differentiation of y = x to the power of n. 


103 
AC
Differentiation 
Meaning of dy over dx – equations of tangents and norma… 


104 
AC
Differentiation 
Function of a function rule, product rule, quotient rul… 


105 
AC
Differentiation 
Increasing, decreasing and stationary functions. 


106 
AC
Differentiation 
First Derivative – turning points and curve sketching 


107 
AC
Differentiation 
The second derivative – concavity. 


108 
AC
Differentiation 
Curve sketching 


109 
AC
Differentiation 
Practical applications of maxima and minima 


110 
AC
Differentiation 
Limits 


111 
AC
Integration 
Integration – antidifferentiation, primitive function 


112 
AC
Integration 
Computation of an area 


113 
AC
Integration 
Computation of volumes of revolution 


114 
AC
Integration 
The Trapezium rule and Simpson’s rule 


115 
AS
Series and sequences 
The arithmetic progression 


116 
AS
Series and sequences 
Finding the position of a term in an A.P. 


117 
AS
Series and sequences 
Given two terms of A.P., find the sequence. 


118 
AS
Series and sequences 
Arithmetic means 


119 
AS
Series and sequences 
The sum to n terms of an A.P. 


120 
AS
Series and sequences 
The geometric progression. 


121 
AS
Series and sequences 
Finding the position of a term in a G.P. 


122 
AS
Series and sequences 
Given two terms of G.P., find the sequence. 


123 
AS
Series and sequences 
Geometric means. 


124 
AS
Series and sequences 
The sum to n terms of a G.P. 


125 
AS
Series and sequences 
Sigma notation 


126 
AS
Series and sequences 
Limiting sum or sum to infinity. 


127 
AS
Series and sequences 
Recurring decimals and the infinite G.P. 


128 
AS
Series and sequences 
Superannuation. 


129 
AS
Series and sequences 
Time payments. 


130 
AS
Series and sequences 
Applications of arithmetic sequences 


131 
G
Trigonometry 
Graphing the trigonometric ratios – I Sine curve. 


132 
G
Trigonometry 
Graphing the trigonometric ratios – II Cosine curve. 


133 
G
Trigonometry 
Graphing the trigonometric ratios – III Tangent curve. 


134 
G
Trigonometry 
Graphing the trigonometric ratios – IV Reciprocal ratio… 


135 
G
Trigonometry 
Trigonometric ratios. 


136 
G
Trigonometry 
Using the calculator. 


137 
G
Trigonometry 
Using the trigonometric ratios to find unknown length. … 


138 
G
Trigonometry 
Using the trigonometric ratios to find unknown length. … 


139 
G
Trigonometry 
Using the trigonometric ratios to find unknown length. … 


140 
G
Trigonometry 
Unknown in the denominator. [Case 4]. 


141 
G
Trigonometry 
Angles of elevation and depression. 


142 
G
Trigonometry 
Trigonometric ratios in practical situations. 


143 
G
Trigonometry 
Using the calculator to find an angle given a trigonome… 


144 
G
Trigonometry 
Using the trigonometric ratios to find an angle in a ri… 


145 
G
Trigonometry 
Trigonometric ratios of 30., 45. and 60. – exact ratios… 


146 
G
Trigonometry 
The cosine rule to find an unknown side. [Case 1 SAS]. 


147 
G
Trigonometry 
The cosine rule to find an unknown angle. [Case 2 SSS]. 


148 
G
Trigonometry 
The sine rule to find an unknown side. Case 1. 


149 
G
Trigonometry 
The sine rule to find an unknown angle. Case 2. 


150 
G
Trigonometry 
The area formula 


151 
G
Trigonometry 
Reciprocal ratios. 


152 
G
Trigonometry 
Trigonometric identities 


153 
G
Trigonometry 
Angles of any magnitude 


154 
G
Trigonometry 
Trigonometric ratios of 0°, 90°, 180°, 270° and 360° 


155 
G
Trigonometry 
Using one ratio to find another. 


156 
G
Trigonometry 
Solving trigonometric equations – Type I. 


157 
G
Trigonometry 
Solving trigonometric equations – Type II. 


158 
G
Trigonometry 
Solving trigonometric equations – Type III. 


159 
G
Trigonometry 
Plotting polar coordinates and converting polar to rect… 


160 
G
Trigonometry 
Converting rectangular coordinates to polar form 


161 
G
Trigonometry 
Write and graph points in polar form with negative vect… 


162 
G
Trigonometry 
Sin(A+B) etc sum and difference identities (Stage 2) 


163 
G
Trigonometry 
Double angle formulas (Stage 2) 


164 
G
Trigonometry 
Half angle identities (Stage 2) 


165 
G
Trigonometry 
t Formulas (Stage 2) 


166 
AL
Exponentials 
The exponential function. 


167 
AL
Logarithms 
Logarithmic functions. 


168 
AL
Logarithms 
Powers of 2. 


169 
AL
Logarithms 
Equations of type log x to the base 3 = 4. 


170 
AL
Logarithms 
Equations of type log 32 to the base x = 5. 


171 
AL
Logarithms 
Laws of logarithms. 


172 
AL
Logarithms 
Using the log laws to expand logarithmic expressions. 


173 
AL
Logarithms 
Using the log laws to simplify expressions involving lo… 


174 
AL
Logarithms 
Using the log laws to find the logarithms of numbers. 


175 
AL
Logarithms 
Equations involving logarithms. 


176 
AL
Logarithms 
Using logarithms to solve equations. 


177 
AL
Logarithms 
Change of base formula 


178 
AL
Logarithms 
The graph of the logarithmic curve 


179 
AL
Logarithms 
Working with log curves. 


180 
G
Functions 
Definition, domain and range 


181 
G
Functions 
Notation and evaluations 


182 
G
Functions 
More on domain and range 


183 
G
Functions 
Domain and range from graphical representations 


184 
G
Functions 
Evaluating and graphing piecewise functions 


185 
G
Functions 
Functions combinations 


186 
G
Functions 
Composition of functions 


187 
G
Functions 
Inverse functions 


188 
G
Functions 
Rational functions Part 1 


189 
G
Functions 
Rational functions Part 2 


190 
G
Functions 
Parametric equations (Stage 2) 


191 
G
Functions 
Polynomial addition etc in combining and simplifying fu… 


192 
G
Functions 
Parametric functions (Stage 2) 


193 
A
Matrices 
Vectors 


194 
N
Speed 
Average speed 


195 
N
Speed 
Using subscripted variables 


196 
N
Speed 
Uniform motion with equal distances 


197 
N
Speed 
Uniform motion adding the distances 


198 
N
Speed 
Uniform motion with unequal distances 


199 
N
Speed 
Uniform motion of all types 


200 
N
Speed 
Motion under gravity – objects in vertical motion 


201 
N
Speed 
Introducing initial velocity 


202 
N
Approximation 
Newton’s method of approximation 


203 
ACN
Complex numbers 
Imaginary numbers and standard form 


204 
ACN
Complex numbers 
Complex numbers – multiplication and division 


205 
ACN
Complex numbers 
Plotting complex number and graphical representation 


206 
ACN
Complex numbers 
Absolute value 


207 
ACN
Complex numbers 
Trigonometric form of a complex number 


208 
ACN
Complex numbers 
Multiplication and division of complex numbers in trig … 


209 
ACN
Complex numbers 
DeMoivre’s theorem (Stage 2) 


210 
ACN
Complex numbers 
The nth root of real and complex numbers (Stage 2) 


211 
ACN
Complex numbers 
Fundamental theorem of algebra (Stage 2) 


212 
G
Matrices 
Basic concepts – Matrices 


213 
G
Matrices 
Addition and subtraction of matrices 


214 
G
Matrices 
Scalar matrix multiplication 


215 
G
Matrices 
Multiplication of one matrix by another matrix 


216 
G
Matrices 
Translation in the number plane 


217 
G
Matrices 
Translation by matrix multiplication 


218 
G
Matrices 
Number of solutions (Stage 2) 


219 
G
Matrices 
2 vector addition in 2 and 3D (stage 2) 


220 
G
Matrices 
Optimal solutions (Stage 2) – Vectors 


221 
G
Matrices 
Linear systems with matrices (Stage 2) 


222 
G
Matrices 
Rowechelon form (Stage 2) 


223 
G
Matrices 
Gauss Jordan elimination method (Stage 2) 


224 
G
Parabola 
The parabola: to describe properties of a parabola from… 


225 
G
Conic sections 
The rectangular hyperbola. 


226 
G
Conic sections 
Introduction to conic sections and their general equati… 


227 
G
Conic sections 
The parabola x. = 4ay 


228 
G
Conic sections 
Circles 


229 
G
Conic sections 
Ellipses 


230 
G
Conic sections 
Hyperbola 


231 
End of Course Assessment 
End of Course Assessment 

