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Home arrow Curriculum arrow NSW Year 10 - Stage 5.3

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NSW Year 10 - Stage 5.3
  1. Introducing surds
  2. Some rules for the operations with surds
  3. Simplifying Surds
  4. Creating entire surds
  5. Adding and subtracting like surds
  6. Expanding surds
  7. Binomial expansions
  8. Conjugate binomials with surds
  9. Rationalising the denominator
  10. Rationalising binomial denominators
  11. Negative Indices
  12. Fractional Indices
  13. Complex fractions as indices
  14. Changing scientific notation to numerals
  15. Significant Figures
  16. Powers of 2
  17. Equations of type log x to the base 3 = 4
  18. Equations of type log 32 to the base x = 5
  19. Laws of Logarithms
  20. Using the Log Laws to Expand Logarithmic Expressions
  21. Using the Log Laws to Simplify Expressions Involving Logarithms
  22. Using the Log Laws to Find the Logarithms of Numbers
  23. Equations Involving Logarithms
  24. Using Logarithms to Solve Equations
  25. Equations Resulting from Substitution into Formulae
  26. Changing the Subject of the Formula
  27. Inequalities
  28. Algebraic Fractions resulting in Negative Indices
  29. Factorisation of Algebraic Fractions including Binomials
  30. Cancelling Binomial Factors in Algebraic Fractions
  31. Binomial Products
  32. Binomial products with negative multiplier
  33. Binomial Products (nonmonic)
  34. Squaring a Binomial (monic)
  35. Squaring a Binomial (nonmonic)
  36. Expansions Leading to the Difference of Two Squares
  37. Products in Simplification of Algebraic Expressions
  38. Larger Expansions
  39. Highest Common Factor
  40. Factors by Grouping
  41. Difference of Two Squares
  42. Common factor and the difference of two squares
  43. Quadratic Trinomials (monic): Case 1
  44. Quadratic Trinomials (monic): Case 2
  45. Quadratic Trinomials (monic): Case 3
  46. Quadratic Trinomials (monic): Case 4
  47. Factorisation of nonmonic quadratic trinomials
  48. Factorisation of nonmonic quadratic trinomials: Moon method
  49. Simplifying Algebraic Fractions
  50. Simultaneous Equations
  51. Elimination method
  52. Elimination method part 2
  53. Applications of simultaneous equations
  54. Introduction to Quadratic Equations
  55. Solving Quadratic Equations with Factorisation
  56. Solving Quadratic Equations
  57. Completing the square
  58. Solving Quadratic Equations by Completing the Square
  59. The Quadratic Formula
  60. Problem solving with quadratic equations Samples
  61. Solving Simultaneous Quadratic Equations Graphically
  62. The Circle: to find radii of circles
  63. The parabola: to describe properties of a parabola from its equation
  64. Quadratic Polynomials of the form y = ax^2 + bx + c
  65. Graphing perfect squares: y=(a-x) squared
  66. Two Point Formula: equation of a line which joins a pair of points
  67. Intercept form of a straight line: find the equation when given x and y
  68. Parallel Lines: identify equation of a line parallel to another
  69. Perpendicular Lines
  70. Inequalities on the Number Plane
  71. Trigonometric Ratios of 30, 45 and 60 Degrees: Exact Ratios
  72. The Cosine Rule to find an unknown side [Case 1 SAS]
  73. The Sine Rule to find an unknown side: Case 1
  74. The Sine Rule: Finding a Side
  75. The Sine Rule: Finding an Angle
  76. The Sine Area Formula for a Triangle
  77. Calculating median class from grouped data
  78. Range as a measure of dispersion
  79. Measures of spread
  80. The Normal Distribution Samples
  81. Measures of Spread: the interquartile range
  82. Stem and Leaf Plots along with Box and Whisker Plots
  83. The Scatter plot
  84. Experimental probability
  85. Experimental probability
  86. Tree diagrams: depending on previous outcomes
  87. The Complementary Result Ã
  88. P[A or B] When A and B are NOT Mutually Exclusive
  89. Further difficult exercises involving formal reasoning
  90. Angles of regular polygons
  91. Pythagoras' Theorem: Finding the Hypotenuse
  92. Using Pythagorean Triples to Identify Right Triangles
  93. Calculating the Hypotenuse of a right-angled Triangle
  94. Calculating a Leg of a right-angled Triangle
  95. Proofs of Pythagoras' Theorem
  96. Theorem - Equal arcs subtend equal angles at the centre
  97. Theorem - The perpendicular from the centre to a chord bisects the chord
  98. Theorem - Equal chords in a circle are equidistant from the centre
  99. Theorem - The angle at the centre is double the angle at the circumference
  100. Theorem: Angles in the same segment of a circle are equal
  101. Theorem: The angle of a semi-circle is a right angle
  102. Theorem: The opposite angles of a cyclic quadrilateral are supplementary
  103. Theorem - Exterior angle of cyclic quadrilateral equals interior opposite angles
  104. Theorem - At the point of contact a tangent is perpendicular to the radius
  105. Theorem: Tangents to a circle from an external point are equal
  106. Theorem - Angle between a tangent and chord equals angle in alternate segment

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