| # | TOPIC | TITLE | +/- | |
|---|---|---|---|---|
| 1 | Study Plan | Study plan - Grade 12 - Calculus and Vectors | Info | Go |
|
Objective: On completion of the course formative assessment a tailored study plan is created identifying the lessons requiring revision. |
||||
| 2 | Co-ordinate geometry part 2 | Two Point Formula: equation of a line which joins a pair of points | Info | Go |
|
Objective: To find the equation of the line which joins a pair of points |
||||
| 3 | Co-ordinate geometry part 2 | Intercept form of a straight line: find the equation when given x and y | Info | Go |
|
Objective: To find the equation of a line given the x-axis and y-axis intercepts |
||||
| 4 | Co-ordinate geometry part 2 | Parallel Lines: identify equation of a line parallel to another | Info | Go |
|
Objective: To change the standard form of a straight line equation to the y = mx + b form |
||||
| 5 | Co-ordinate geometry part 2 | Perpendicular Lines | Info | Go |
|
Objective: To identify the equation of a line that is perpendicular to a given linear equation |
||||
| 6 | Co-ordinate geometry part 2 | Inequalities on the Number Plane | Info | Go |
|
Objective: To identify the graph which matches a given inequality |
||||
| 7 | Co-ordinate geometry part 2 | Perpendicular Distance | Info | Go |
|
Objective: To calculate the perpendicular distance from a point to a line and between lines |
||||
| 8 | Co-ordinate geometry part 2 | Line through the intersection of two given lines | Info | Go |
|
Objective: To determine the equation of a line passing through the intersection of two lines |
||||
| 9 | Co-ordinate geometry part 2 | Angles between two lines | Info | Go |
|
Objective: To find the angle between two given straight lines |
||||
| 10 | Co-ordinate geometry part 2 | Transformations: Reflections | Info | Go |
|
Objective: To identify reflections and to use isometric properties of reflections |
||||
| 11 | Geometry transformations | Geometry Transformations without Matrices: Translation | Info | Go |
|
Objective: To find the image of a point or object after a translation |
||||
| 12 | Geometry transformations | Geometry Transformations without Matrices: Rotation | Info | Go |
|
Objective: To determine rotation angle and to perform prescribed rotations |
||||
| 13 | Geometry transformations | Geometry Transformations without Matrices: Dilation or Enlargement | Info | Go |
|
Objective: To describe dilations and to calculate lengths and scale factors of dilated figures |
||||
| 14 | Geometry transformations | Geometry Transformations without Matrices: Mixed and Combined Transformations | Info | Go |
|
Objective: To identify images produced by a given sequence of transformations |
||||
| 15 | Graphs part 2 | The Exponential Function | Info | Go |
|
Objective: To graph exponential curves whose exponents are either positive or negative |
||||
| 16 | Calculus part 1 | Limits | Info | Go |
|
Objective: To find the limit value of a function as x approaches n |
||||
| 17 | Calculus part 1 | Differentiation from First Principles | Info | Go |
|
Objective: To differentiate functions from first principles |
||||
| 18 | Calculus part 1 | Differentiation of y = x to the power of n | Info | Go |
|
Objective: To differentiate algebraic functions using the laws of differentiation |
||||
| 19 | Calculus part 1 | Meaning of dy over dx - Equations of Tangents and Normals | Info | Go |
|
Objective: To find and use the slope of tangents and normals |
||||
| 20 | Calculus part 1 | Function of a Function Rule, Product Rule, Quotient Rule. | Info | Go |
|
Objective: To differentiate functions using the product, quotient and chain rules. |
||||
| 21 | Calculus part 1 | Increasing, Decreasing and Stationary Functions. | Info | Go |
|
Objective: To determine values of x for which f(x) is increasing, decreasing or stationary. |
||||
| 22 | Calculus part 1 | The Second Derivative - Concavity. | Info | Go |
|
Objective: To determine concavity of a curve at a point using the second derivative. |
||||
| 23 | Calculus part 1 | Classification of Stationary Points. | Info | Go |
|
Objective: To Locate and describe stationary points and points of inflection using differention. |
||||
| 24 | Calculus part 2 | Curve Sketching. | Info | Go |
|
Objective: To practice curve sketching of polynomials using calculus techniques. |
||||
| 25 | Calculus part 2 | Practical Applications of Maxima and Minima. | Info | Go |
|
Objective: To use maxima and minima to solve practical problems. |
||||
| 26 | Polar coordinates | Polar Coordinates - Plotting and Converting | Info | Go |
|
Objective: To plot polar points and convert polar coordinates to rectangular coordinates |
||||
| 27 | Polar coordinates | Converting Rectangular Coordinates to Polar Form | Info | Go |
|
Objective: To convert rectangular to polar coordinates |
||||
| 28 | Matrices | Vectors | Info | Go |
|
Objective: To use vectors to find resultant speeds and displacements |
||||
| 29 | Matrices - Linear systems | Number of Solutions | Info | Go |
|
Objective: To determine solutions to systems of equations |
||||
| 30 | Matrices - Linear systems | Vector Addition in 2 and 3D | Info | Go |
|
Objective: To represent, add, subtract and determine the direction of vectors |
||||
| 31 | Matrices - Linear systems | Optimal Solutions | Info | Go |
|
Objective: To use linear programming to maximise or minimise an objective function |
||||
| 32 | Function | Functions and Relations: domain and range | Info | Go |
|
Objective: To identify and represent functions and relations |
||||
| 33 | Function | Function Notation | Info | Go |
|
Objective: To write and evaluate functions using function notation |
||||
| 34 | Function | Selecting Appropriate Domain and Range | Info | Go |
|
Objective: To determine appropriate domains for functions |
||||
| 35 | Function | Domain and Range from Graphical Representations | Info | Go |
|
Objective: To determine the range of a function from its graphical representation |
||||
| 36 | Function | Evaluating and Graphing Piecewise Functions | Info | Go |
|
Objective: To evaluate and graph piecewise functions |
||||
| 37 | Function | Combining Functions | Info | Go |
|
Objective: To determine the resultant function after functions have been combined by plus, minus, times and divide |
||||
| 38 | Function | Simplifying Composite Functions | Info | Go |
|
Objective: To simplify, evaluate and determine the domain of composite functions |
||||
| 39 | Function | Inverse Functions | Info | Go |
|
Objective: To find the inverse of a function and determine whether this inverse is itself a function |
||||
| 40 | Function | Graphing Rational Functions Part 1 | Info | Go |
|
Objective: To determine asymptotes and graph rational functions using intercepts and asymptotes |
||||
| 41 | Function | Graphing Rational Functions Part 2 | Info | Go |
|
Objective: To determine asymptotes and graph rational functions |
||||
| 42 | Function | Parametric Equations | Info | Go |
|
Objective: To interchange parametric and Cartesian equations and to identify graphs |
||||
| 43 | Function | Polynomial Addition: in Combining and Simplifying Functions | Info | Go |
|
Objective: To evaluate, simplify and graph rational functions |
||||
| 44 | Function | Parametric Functions | Info | Go |
|
Objective: To change Cartesian and parametric equations and to graph parametric functions |
||||
| 45 | Exam | Exam - Grade 12 - Calculus and Vectors | Info | Go |
|
Objective: Exam |
||||
Join today and have your whole family enjoy the benefits that only a great educational product can deliver. With a 14-day Money Back Guarantee you can't afford not to join!Enquiry form
Simply fill out our enquiry form with any questions or suggestions you may have. Our friendly staff is more
than keen to answer any question you have regarding
our learning system or general questions. Enquiry form