MyHomeTutor - Mathematics and English grammar

Powered by Future School

Home|Site map|Contact us|Subscribe
Home arrow Curriculum arrow NSW Extension 1 (Year 11 3 Unit)

MyHomeTutor has created an individual curriculum for each state in Australia.

To review, simply click on a state and then select the Grade / Year that you want to review.

NSW Extension 1 (Year 11 3 Unit)
  1. Adding indices when multiplying terms with the same base
  2. Subtracting indices when dividing terms with the same base
  3. Multiplying indices when raising a power to a power
  4. Multiplying indices when raising to more than one term
  5. Terms raised to the power of zero
  6. Negative Indices
  7. Fractional Indices
  8. Complex fractions as indices
  9. Scientific notation with larger numbers
  10. Scientific notation with small numbers
  11. Changing scientific notation to numerals
  12. Significant Figures
  13. Introducing surds
  14. Some rules for the operations with surds
  15. Simplifying Surds
  16. Creating entire surds
  17. Adding and subtracting like surds
  18. Expanding surds
  19. Binomial expansions
  20. Conjugate binomials with surds
  21. Rationalising the denominator
  22. Rationalising binomial denominators
  23. Algebraic Fractions resulting in Negative Indices
  24. Factorisation of Algebraic Fractions including Binomials
  25. Cancelling Binomial Factors in Algebraic Fractions
  26. Evaluating Absolute Value Expressions
  27. Solving Absolute Value Equations
  28. Solving and Graphing Inequalities
  29. Binomial Products
  30. Binomial products with negative multiplier
  31. Binomial Products (nonmonic)
  32. Squaring a Binomial (monic)
  33. Squaring a Binomial (nonmonic)
  34. Expansions Leading to the Difference of Two Squares
  35. Products in Simplification of Algebraic Expressions
  36. Larger Expansions
  37. Highest Common Factor
  38. Factors by Grouping
  39. Difference of Two Squares
  40. Common factor and the difference of two squares
  41. Quadratic Trinomials (monic): Case 1
  42. Quadratic Trinomials (monic): Case 2
  43. Quadratic Trinomials (monic): Case 3
  44. Quadratic Trinomials (monic): Case 4
  45. Factorisation of nonmonic quadratic trinomials
  46. Factorisation of nonmonic quadratic trinomials: Moon method
  47. Sum and Difference of Two Cubes
  48. Simplifying Algebraic Fractions
  49. Simultaneous Equations
  50. Elimination method
  51. Elimination method part 2
  52. Applications of simultaneous equations
  53. Solving Simultaneous Equations graphically
  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. Adjacent Angles
  63. Complementary and Supplementary Angles
  64. Vertically Opposite Angles
  65. Angles at a Point
  66. Additional questions involving parallel lines
  67. Exterior angle theorem
  68. Points, Lines and Planes
  69. Angles
  70. Further difficult exercises involving formal reasoning
  71. Quadrilaterals 1
  72. Properties of Parallelograms - Opposite Angles Equal
  73. Properties of Parallelograms - Diagonals, Sides and Angles
  74. The Parallelogram Umbrella
  75. Properties of Trapezoids
  76. Angles of regular polygons
  77. Congruent triangles: Tests 1 and 2
  78. Congruent triangles: Tests 3 and 4
  79. Proofs and Congruent Triangles
  80. Similar Triangles
  81. Using Similar Triangles to Calculate Lengths
  82. Examples involving overlapping triangles
  83. The Triangle Inequality Theorem
  84. Using Pythagorean Triples to Identify Right Triangles
  85. Calculating the Hypotenuse of a right-angled Triangle
  86. Calculating a Leg of a right-angled Triangle
  87. The Distance Formula
  88. The Mid-Point Formula
  89. The Gradient
  90. The Gradient Formula
  91. The Straight Line
  92. Lines Through the Origin
  93. General Form of a Line and the x and y Intercepts
  94. Slope Intercept Form of a Line
  95. Point Slope Form of a Line
  96. Trigonometric Ratios Samples
  97. Using the Calculator
  98. Using the Trigonometric Ratios to find unknown length [Case 1 Sin]
  99. Using the Trigonometric Ratios to find unknown length [Case 2 Cosine]
  100. Using the Trigonometric Ratios to find unknown length [Case 3 Tangent Ratio]
  101. Unknown in the Denominator [Case 4]
  102. Bearings: The Compass Samples
  103. Angles of Elevation and Depression
  104. Trigonometric Ratios in Practical Situations
  105. Using the Calculator to Find an Angle Given a Trigonometric Ratio
  106. Using the Trigonometric Ratios to Find an Angle in a Right-Angled Triangle
  107. Trigonometric Ratios of 30, 45 and 60 Degrees: Exact Ratios
  108. The Cosine Rule to find an unknown side [Case 1 SAS]
  109. The Sine Rule to find an unknown side: Case 1
  110. The Sine Rule: Finding a Side
  111. The Sine Rule: Finding an Angle
  112. The Sine Area Formula for a Triangle
  113. Angles of Any Magnitude
  114. Trigonometric Ratios of 0, 90, 180, 270 and 360 degrees
  115. Trigonometric Identities
  116. Trigonometric Sum and Difference Identities
  117. Double Angle Identities
  118. Half-angle Identities
  119. t Formulas
  120. The Circle: to find radii of circles
  121. The semicircle: to select the equation given the semicircle and vice versa
  122. The parabola: to describe properties of a parabola from its equation
  123. Quadratic Polynomials of the form y = ax^2 + bx + c
  124. Graphing perfect squares: y=(a-x) squared
  125. Graphing irrational roots
  126. Graphing complex polynomials: quadratics with no real roots
  127. General equation of a circle: determine and graph the equation
  128. Graphing cubic curves
  129. Absolute Value Equations
  130. The Rectangular Hyperbola
  131. The Parabola
  132. Parametric Equations
  133. Circles
  134. Functions and Relations: domain and range
  135. Function Notation
  136. Selecting Appropriate Domain and Range
  137. Domain and Range from Graphical Representations
  138. Evaluating and Graphing Piecewise Functions
  139. Limits
  140. Differentiation from First Principles
  141. Differentiation of y = x to the power of n
  142. Meaning of dy over dx - Equations of Tangents and Normals
  143. Theorem - Equal arcs subtend equal angles at the centre
  144. Theorem - The perpendicular from the centre to a chord bisects the chord
  145. Theorem - Equal chords in a circle are equidistant from the centre
  146. Theorem - The angle at the centre is double the angle at the circumference
  147. Theorem: Angles in the same segment of a circle are equal
  148. Theorem: The angle of a semi-circle is a right angle
  149. Theorem: The opposite angles of a cyclic quadrilateral are supplementary
  150. Theorem - Exterior angle of cyclic quadrilateral equals interior opposite angles
  151. Theorem - At the point of contact a tangent is perpendicular to the radius
  152. Theorem: Tangents to a circle from an external point are equal
  153. Theorem - Angle between a tangent and chord equals angle in alternate segment
  154. Theorem: The products of the intercepts of two intersecting chords are equal
  155. Theorem - The relationship between the tangent and secant from the same point
  156. Angle Bisector Construction and its Properties
  157. Circumcenter and Incenter
  158. Orthocentre and Centroids
  159. Introduction to polynomials
  160. The Sum, Difference and Product of Two Polynomials
  161. Polynomials and Long Division
  162. The Remainder Theorem
  163. More on Remainder Theorem
  164. The factor theorem
  165. More on the factor theorem
  166. Complete factorisations using the factor theorem
  167. Polynomial equations
  168. Graphs of polynomials
  169. The Sum and Product of the Roots of Quadratic Equations.
  170. The Sum and Product of the Roots of Cubic and Quartic Equations.

Back
© 2007 MyHomeTutor