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Home arrow Curriculum arrow NT Year 11 Applied 5: Optimisation

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

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