| 1 | Initial Assessment | Initial Assessment |
| 2 | Surds | Introducing surds |
| 3 | Surds | Some rules for the operations with surds |
| 4 | Surds | Simplifying surds |
| 5 | Surds | Creating entire surds |
| 6 | Surds | Adding and subtracting like surds |
| 7 | Surds | Expanding surds |
| 8 | Surds | Conjugate binomials with surds |
| 9 | Surds | Rationalising the denominator |
| 10 | Surds | Rationalising binomial denominators |
| 11 | Surds | Graphing irrational roots |
| 12 | Equations | Applications of simultaneous equations |
| 13 | Inequalities | Solving Inequalities. |
| 14 | Simplifying | Simplifying algebraic fractions. |
| 15 | Simplifying | Simplifying algebraic fractions using the index laws. |
| 16 | Simplifying | Algebraic fractions resulting in negative indices. |
| 17 | Simplifying | Cancelling binomial factors in algebraic fractions. |
| 18 | Factorising | Expansions leading to the difference of two squares |
| 19 | Factorising | Common factor and the difference of two squares |
| 20 | Factorising | Factorising quadratic trinomials [monic] – Case 2. |
| 21 | Factorising | Factorisation of non-monic quadratic trinomials |
| 22 | Factorising | Factorisation of non-monic quadratic trinomials – moon … |
| 23 | Roots | Difference of two squares |
| 24 | Roots | Quadratic equations with factorisation. |
| 25 | Roots | Solving quadratic equations. |
| 26 | Roots | Completing the square |
| 27 | Roots | Solving quadratic equations by completing the square |
| 28 | Roots | The quadratic formula |
| 29 | Roots | Problem solving with quadratic equations |
| 30 | Roots | Solving simultaneous quadratic equations graphically |
| 31 | Graphs | Quadratic polynomials of the form y = ax. + bx + c. |
| 32 | Graphs | Graphing perfect squares: y=(a-x) squared |
| 33 | Graphs | Solve by graphing |
| 34 | Graphs | Graphing complex polynomials: quadratics with no real r… |
| 35 | Graphs | General equation of a circle: determine and graph the e… |
| 36 | Graphs | Graphing cubic curves |
| 37 | Graphs | Graphs of polynomials |
| 38 | Polynomials | Introduction to polynomials |
| 39 | Polynomials | The sum, difference and product of two polynomials. |
| 40 | Polynomials | Polynomials and long division. |
| 41 | Polynomials | Polynomial equations |
| 42 | Factor theorem | The factor theorem |
| 43 | Factor theorem | More on the factor theorem |
| 44 | Factor theorem | Complete factorisations using the factor theorem |
| 45 | Remainder theorem | The remainder theorem. |
| 46 | Remainder theorem | More on remainder theorem |
| 47 | Modulus | Absolute value equations |
| 48 | Roots | Sum and difference of two cubes. |
| 49 | Roots | Sum and product of roots of quadratic equations |
| 50 | Roots | Sum and product of roots of cubic and quartic equations |
| 51 | Roots | Methods of approximating roots |
| 52 | Matrices | Vectors |
| 53 | Proofs | Inductive and deductive reasoning |
| 54 | Proofs | Definition and use of counter examples |
| 55 | Proofs | Indirect proofs |
| 56 | Proofs | Mathematical induction |
| 57 | Proofs | Conditional statements (converse, inverse and contrapos… |
| 58 | Transformations | Use grids to enlarge/reduce 2D shapes |
| 59 | Transformations | Special transformations – reflections, rotations and en… |
| 60 | Transformations | Transformations – reflections |
| 61 | Transformations | The definition and concept of combined transformations … |
| 62 | Co-ordinate Geometry | Triangle inequality theorem |
| 63 | Coordinate geometry | Distance formula. |
| 64 | Coordinate geometry | Mid-point formula |
| 65 | Coordinate geometry | Gradient |
| 66 | Coordinate geometry | Gradient formula. |
| 67 | Coordinate geometry | The straight line. |
| 68 | Coordinate geometry | Lines through the origin. |
| 69 | Coordinate geometry | General form of a line and the x and y Intercepts. |
| 70 | Coordinate geometry | Slope intercept form of a line. |
| 71 | Coordinate geometry | Point slope form of a line |
| 72 | Coordinate geometry | Two point formula: equation of a line which joins a pai… |
| 73 | Coordinate geometry | Intercept form of a straight line: find the equation wh… |
| 74 | Coordinate geometry | Parallel lines: identify equation of a line parallel to… |
| 75 | Coordinate geometry | Perpendicular lines. |
| 76 | Coordinate geometry | Perpendicular distance |
| 77 | Coordinate geometry | Line through intersection of two given lines |
| 78 | Coordinate geometry | Angles between two lines |
| 79 | Coordinate geometry | Internal and external division of an interval |
| 80 | Circles | The equation of a circle: to find radii of circles |
| 81 | Circles | The semicircle: to select the equation given the semi c… |
| 82 | Surds | Binomial expansions |
| 83 | Binomial | Binomial products. |
| 84 | Binomial | Binomial products with negative multiplier |
| 85 | Binomial | Binomial products [non-monic]. |
| 86 | Binomial | Squaring a binomial. [monic] |
| 87 | Binomial | Squaring a binomial [non-monic]. |
| 88 | Probability | Binomial Theorem – Pascal’s Triangle |
| 89 | Speed | Average speed |
| 90 | Speed | Using subscripted variables |
| 91 | Speed | Uniform motion with equal distances |
| 92 | Speed | Uniform motion adding the distances |
| 93 | Speed | Uniform motion with unequal distances |
| 94 | Speed | Uniform motion of all types |
| 95 | Speed | Motion under gravity – objects in vertical motion |
| 96 | Speed | Introducing initial velocity |
| 97 | Differentiation | Differentiation from first principles. |
| 98 | Differentiation | Differentiation of y = x to the power of n. |
| 99 | Differentiation | Meaning of dy over dx – equations of tangents and norma… |
| 100 | Differentiation | Function of a function rule, product rule, quotient rul… |
| 101 | Differentiation | Increasing, decreasing and stationary functions. |
| 102 | Differentiation | First Derivative – turning points and curve sketching |
| 103 | Differentiation | The second derivative – concavity. |
| 104 | Differentiation | Curve sketching |
| 105 | Differentiation | Practical applications of maxima and minima |
| 106 | Differentiation | Limits |
| 107 | Integration | Integration – anti-differentiation, primitive function |
| 108 | Integration | Computation of an area |
| 109 | Integration | Computation of volumes of revolution |
| 110 | Integration | The Trapezium rule and Simpson’s rule |
| 111 | Series and sequences | The arithmetic progression |
| 112 | Series and sequences | Finding the position of a term in an A.P. |
| 113 | Series and sequences | Given two terms of A.P., find the sequence. |
| 114 | Series and sequences | Arithmetic means |
| 115 | Series and sequences | The sum to n terms of an A.P. |
| 116 | Series and sequences | The geometric progression. |
| 117 | Series and sequences | Finding the position of a term in a G.P. |
| 118 | Series and sequences | Given two terms of G.P., find the sequence. |
| 119 | Series and sequences | Geometric means. |
| 120 | Series and sequences | The sum to n terms of a G.P. |
| 121 | Series and sequences | Sigma notation |
| 122 | Series and sequences | Limiting sum or sum to infinity. |
| 123 | Series and sequences | Recurring decimals and the infinite G.P. |
| 124 | Series and sequences | Superannuation. |
| 125 | Series and sequences | Time payments. |
| 126 | Series and sequences | Applications of arithmetic sequences |
| 127 | Trigonometry | Graphing the trigonometric ratios – I Sine curve. |
| 128 | Trigonometry | Graphing the trigonometric ratios – II Cosine curve. |
| 129 | Trigonometry | Graphing the trigonometric ratios – III Tangent curve. |
| 130 | Trigonometry | Graphing the trigonometric ratios – IV Reciprocal ratio… |
| 131 | Trigonometry | Trigonometric ratios. |
| 132 | Trigonometry | Using the calculator. |
| 133 | Trigonometry | Using the trigonometric ratios to find unknown length. … |
| 134 | Trigonometry | Using the trigonometric ratios to find unknown length. … |
| 135 | Trigonometry | Using the trigonometric ratios to find unknown length. … |
| 136 | Trigonometry | Unknown in the denominator. [Case 4]. |
| 137 | Trigonometry | Angles of elevation and depression. |
| 138 | Trigonometry | Trigonometric ratios in practical situations. |
| 139 | Trigonometry | Using the calculator to find an angle given a trigonome… |
| 140 | Trigonometry | Using the trigonometric ratios to find an angle in a ri… |
| 141 | Trigonometry | Trigonometric ratios of 30., 45. and 60. – exact ratios… |
| 142 | Trigonometry | The cosine rule to find an unknown side. [Case 1 SAS]. |
| 143 | Trigonometry | The cosine rule to find an unknown angle. [Case 2 SSS]. |
| 144 | Trigonometry | The sine rule to find an unknown side. Case 1. |
| 145 | Trigonometry | The sine rule to find an unknown angle. Case 2. |
| 146 | Trigonometry | The area formula |
| 147 | Trigonometry | Reciprocal ratios. |
| 148 | Trigonometry | Trigonometric identities |
| 149 | Trigonometry | Angles of any magnitude |
| 150 | Trigonometry | Trigonometric ratios of 0°, 90°, 180°, 270° and 360° |
| 151 | Trigonometry | Using one ratio to find another. |
| 152 | Trigonometry | Solving trigonometric equations – Type I. |
| 153 | Trigonometry | Solving trigonometric equations – Type II. |
| 154 | Trigonometry | Solving trigonometric equations – Type III. |
| 155 | Trigonometry | Plotting polar coordinates and converting polar to rect… |
| 156 | Trigonometry | Converting rectangular coordinates to polar form |
| 157 | Trigonometry | Write and graph points in polar form with negative vect… |
| 158 | Trigonometry | Sin(A+B) etc sum and difference identities (Stage 2) |
| 159 | Trigonometry | Double angle formulas (Stage 2) |
| 160 | Trigonometry | Half angle identities (Stage 2) |
| 161 | Trigonometry | t Formulas (Stage 2) |
| 162 | Functions | Definition, domain and range |
| 163 | Functions | Notation and evaluations |
| 164 | Functions | More on domain and range |
| 165 | Functions | Domain and range from graphical representations |
| 166 | Functions | Evaluating and graphing piecewise functions |
| 167 | Functions | Functions combinations |
| 168 | Functions | Composition of functions |
| 169 | Functions | Inverse functions |
| 170 | Functions | Rational functions Part 1 |
| 171 | Functions | Rational functions Part 2 |
| 172 | Functions | Parametric equations (Stage 2) |
| 173 | Functions | Polynomial addition etc in combining and simplifying fu… |
| 174 | Functions | Parametric functions (Stage 2) |
| 175 | Exponentials | The exponential function. |
| 176 | Logarithms | Logarithmic functions. |
| 177 | Logarithms | Powers of 2. |
| 178 | Logarithms | Equations of type log x to the base 3 = 4. |
| 179 | Logarithms | Equations of type log 32 to the base x = 5. |
| 180 | Logarithms | Laws of logarithms. |
| 181 | Logarithms | Using the log laws to expand logarithmic expressions. |
| 182 | Logarithms | Using the log laws to simplify expressions involving lo… |
| 183 | Logarithms | Using the log laws to find the logarithms of numbers. |
| 184 | Logarithms | Equations involving logarithms. |
| 185 | Logarithms | Using logarithms to solve equations. |
| 186 | Logarithms | Change of base formula |
| 187 | Logarithms | The graph of the logarithmic curve |
| 188 | Logarithms | Working with log curves. |
| 189 | End of Course Assessment | End of Course Assessment |
