| 1 |
Initial Assessment |
Initial Assessment |
| 2 |
Surds |
Graphing irrational roots |
| 3 |
Roots |
Solving simultaneous quadratic equations graphically |
| 4 |
Graphs |
Quadratic polynomials of the form y = ax. + bx + c. |
| 5 |
Graphs |
Graphing perfect squares: y=(a-x) squared |
| 6 |
Graphs |
Solve by graphing |
| 7 |
Graphs |
Graphing complex polynomials: quadratics with no real r… |
| 8 |
Graphs |
General equation of a circle: determine and graph the e… |
| 9 |
Graphs |
Graphing cubic curves |
| 10 |
Graphs |
Graphs of polynomials |
| 11 |
Modulus |
Absolute value equations |
| 12 |
Matrices |
Vectors |
| 13 |
Proofs |
Inductive and deductive reasoning |
| 14 |
Proofs |
Definition and use of counter examples |
| 15 |
Proofs |
Indirect proofs |
| 16 |
Proofs |
Mathematical induction |
| 17 |
Proofs |
Conditional statements (converse, inverse and contrapos… |
| 18 |
Circles |
The equation of a circle: to find radii of circles |
| 19 |
Circles |
The semicircle: to select the equation given the semi c… |
| 20 |
Surds |
Binomial expansions |
| 21 |
Binomial |
Binomial products. |
| 22 |
Binomial |
Binomial products with negative multiplier |
| 23 |
Binomial |
Binomial products [non-monic]. |
| 24 |
Binomial |
Squaring a binomial. [monic] |
| 25 |
Binomial |
Squaring a binomial [non-monic]. |
| 26 |
Probability |
Binomial Theorem – Pascal’s Triangle |
| 27 |
Differentiation |
Function of a function rule, product rule, quotient rul… |
| 28 |
Differentiation |
Increasing, decreasing and stationary functions. |
| 29 |
Differentiation |
First Derivative – turning points and curve sketching |
| 30 |
Differentiation |
The second derivative – concavity. |
| 31 |
Differentiation |
Curve sketching |
| 32 |
Differentiation |
Practical applications of maxima and minima |
| 33 |
Differentiation |
Limits |
| 34 |
Integration |
Computation of volumes of revolution |
| 35 |
Integration |
The Trapezium rule and Simpson’s rule |
| 36 |
Trigonometry |
Graphing the trigonometric ratios – I Sine curve. |
| 37 |
Trigonometry |
Graphing the trigonometric ratios – II Cosine curve. |
| 38 |
Trigonometry |
Graphing the trigonometric ratios – III Tangent curve. |
| 39 |
Trigonometry |
Graphing the trigonometric ratios – IV Reciprocal ratio… |
| 40 |
Trigonometry |
Trigonometric identities |
| 41 |
Trigonometry |
Using one ratio to find another. |
| 42 |
Trigonometry |
Solving trigonometric equations – Type I. |
| 43 |
Trigonometry |
Solving trigonometric equations – Type II. |
| 44 |
Trigonometry |
Solving trigonometric equations – Type III. |
| 45 |
Trigonometry |
Plotting polar coordinates and converting polar to rect… |
| 46 |
Trigonometry |
Converting rectangular coordinates to polar form |
| 47 |
Trigonometry |
Write and graph points in polar form with negative vect… |
| 48 |
Trigonometry |
Sin(A+B) etc sum and difference identities (Stage 2) |
| 49 |
Trigonometry |
Double angle formulas (Stage 2) |
| 50 |
Trigonometry |
Half angle identities (Stage 2) |
| 51 |
Trigonometry |
t Formulas (Stage 2) |
| 52 |
Functions |
Definition, domain and range |
| 53 |
Functions |
Notation and evaluations |
| 54 |
Functions |
More on domain and range |
| 55 |
Functions |
Domain and range from graphical representations |
| 56 |
Functions |
Evaluating and graphing piecewise functions |
| 57 |
Functions |
Functions combinations |
| 58 |
Functions |
Composition of functions |
| 59 |
Functions |
Inverse functions |
| 60 |
Functions |
Rational functions Part 1 |
| 61 |
Functions |
Rational functions Part 2 |
| 62 |
Functions |
Parametric equations (Stage 2) |
| 63 |
Functions |
Polynomial addition etc in combining and simplifying fu… |
| 64 |
Functions |
Parametric functions (Stage 2) |
| 65 |
Exponentials |
The exponential function. |
| 66 |
Logarithms |
Logarithmic functions. |
| 67 |
Logarithms |
Equations of type log x to the base 3 = 4. |
| 68 |
Logarithms |
Equations of type log 32 to the base x = 5. |
| 69 |
Logarithms |
Laws of logarithms. |
| 70 |
Logarithms |
Using the log laws to expand logarithmic expressions. |
| 71 |
Logarithms |
Using the log laws to simplify expressions involving lo… |
| 72 |
Logarithms |
Using the log laws to find the logarithms of numbers. |
| 73 |
Logarithms |
Equations involving logarithms. |
| 74 |
Logarithms |
Using logarithms to solve equations. |
| 75 |
Logarithms |
Change of base formula |
| 76 |
Logarithms |
The graph of the logarithmic curve |
| 77 |
Logarithms |
Working with log curves. |
| 78 |
Approximation |
Newton’s method of approximation |
| 79 |
Complex numbers |
Imaginary numbers and standard form |
| 80 |
Complex numbers |
Complex numbers – multiplication and division |
| 81 |
Complex numbers |
Plotting complex number and graphical representation |
| 82 |
Complex numbers |
Absolute value |
| 83 |
Complex numbers |
Trigonometric form of a complex number |
| 84 |
Complex numbers |
Multiplication and division of complex numbers in trig … |
| 85 |
Complex numbers |
DeMoivre’s theorem (Stage 2) |
| 86 |
Complex numbers |
The nth root of real and complex numbers (Stage 2) |
| 87 |
Complex numbers |
Fundamental theorem of algebra (Stage 2) |
| 88 |
Matrices |
Basic concepts – Matrices |
| 89 |
Matrices |
Addition and subtraction of matrices |
| 90 |
Matrices |
Scalar matrix multiplication |
| 91 |
Matrices |
Multiplication of one matrix by another matrix |
| 92 |
Matrices |
Translation in the number plane |
| 93 |
Matrices |
Translation by matrix multiplication |
| 94 |
Matrices |
Number of solutions (Stage 2) |
| 95 |
Matrices |
2 vector addition in 2 and 3D (stage 2) |
| 96 |
Matrices |
Optimal solutions (Stage 2) – Vectors |
| 97 |
Matrices |
Linear systems with matrices (Stage 2) |
| 98 |
Matrices |
Row-echelon form (Stage 2) |
| 99 |
Matrices |
Gauss Jordan elimination method (Stage 2) |
| 100 |
Parabola |
The parabola: to describe properties of a parabola from… |
| 101 |
Conic sections |
The rectangular hyperbola. |
| 102 |
Conic sections |
Introduction to conic sections and their general equati… |
| 103 |
Conic sections |
The parabola x. = 4ay |
| 104 |
Conic sections |
Circles |
| 105 |
Conic sections |
Ellipses |
| 106 |
Conic sections |
Hyperbola |
| 107 |
End of Course Assessment |
End of Course Assessment |
