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Home arrow Curriculum arrow NT Year 11 - 12: Functions and Graphs

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NT Year 11 - 12: Functions and Graphs
  1. The Gradient
  2. The Gradient Formula
  3. The Straight Line
  4. Lines Through the Origin
  5. General Form of a Line and the x and y Intercepts
  6. Slope Intercept Form of a Line
  7. Point Slope Form of a Line
  8. Functions and Relations: domain and range
  9. Function Notation
  10. Selecting Appropriate Domain and Range
  11. Domain and Range from Graphical Representations
  12. Evaluating and Graphing Piecewise Functions
  13. Combining Functions
  14. Simplifying Composite Functions
  15. Two Point Formula: equation of a line which joins a pair of points
  16. Intercept form of a straight line: find the equation when given x and y
  17. Parallel Lines: identify equation of a line parallel to another
  18. Inequalities on the Number Plane
  19. Simultaneous Equations
  20. Elimination method
  21. Elimination method part 2
  22. Applications of simultaneous equations
  23. The parabola: to describe properties of a parabola from its equation
  24. Quadratic Polynomials of the form y = ax^2 + bx + c
  25. Graphing perfect squares: y=(a-x) squared
  26. Graphing irrational roots
  27. Solving Simultaneous Equations graphically
  28. Introduction to Quadratic Equations
  29. Solving Quadratic Equations with Factorisation
  30. Solving Quadratic Equations
  31. Completing the square
  32. Solving Quadratic Equations by Completing the Square
  33. The Quadratic Formula
  34. Problem solving with quadratic equations Samples
  35. Solving Simultaneous Quadratic Equations Graphically
  36. Optimal Solutions
  37. Graphing complex polynomials: quadratics with no real roots
  38. General equation of a circle: determine and graph the equation
  39. Graphing cubic curves
  40. Absolute Value Equations
  41. The Rectangular Hyperbola
  42. The Exponential Function
  43. Logarithmic Functions
  44. Introduction to Conic Sections and Their General Equation
  45. The Parabola
  46. Circles
  47. The Ellipsis
  48. The Hyperbola
  49. Inverse Functions
  50. Graphing Rational Functions Part 1
  51. Graphing Rational Functions Part 2
  52. Pythagoras' Theorem: Finding the Hypotenuse
  53. Using Pythagorean Triples to Identify Right Triangles
  54. Calculating the Hypotenuse of a right-angled Triangle
  55. Trigonometric Ratios Samples
  56. Using the Calculator
  57. Using the Trigonometric Ratios to find unknown length [Case 1 Sin]
  58. Using the Trigonometric Ratios to find unknown length [Case 2 Cosine]
  59. Using the Trigonometric Ratios to find unknown length [Case 3 Tangent Ratio]
  60. Unknown in the Denominator [Case 4]
  61. Bearings: The Compass Samples
  62. Angles of Elevation and Depression
  63. Trigonometric Ratios in Practical Situations
  64. Using the Calculator to Find an Angle Given a Trigonometric Ratio
  65. Using the Trigonometric Ratios to Find an Angle in a Right-Angled Triangle
  66. Polar Coordinates - Plotting and Converting
  67. Converting Rectangular Coordinates to Polar Form
  68. Graphing Polar Functions

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