2019-20 10th IG Addl Maths (0606)

June

Indices and surds: (Chapter 3, one week)

  • Simplification of indices and surds
  • Rationalizing the denominator
  • Solving equations with Indices and surds

Permutations and Combinations (Chapter 10, one week)

  • Idea of an Arrangement as a factorial
  • Arranging a subset (order matters): Permutations
  • Select some from a group: Combinations

Functions (Chapter 1, two weeks)

  • Maps, functions, domain and range
  • One-one, many-one and one-many maps. What do you need to make an inverse function possible
  • Composite and inverse functions
  • Introduction to modulus function

July

Logarithms and Exponential functions (Chapter 6, 3 weeks)

  • Logarithms and exponential functions (as inverse functions, graphing, asymptotes)
  • Logarithms to various bases (including 10 and e)
  • Laws of logarithms (and changing base)
  • Solving logarithmic and exponential equations

Factors and Polynomials (Chapter 4, two weeks)

  • Polynomial long division
  • Factor and remainder theorems
  • Factorising cubic equations

August

Simultaneous equations and quadratics (Chapter 2, one week)

  • Graphs of quadratic functions and locating maxima and minima
  • Modulus of a quadratic function
  • Quadratic inequalities

Equations, inequalities and graphs (Chapter 5, 2 weeks)

  • Modulus equations and inequalities
  • Sketching cubics
  • Solving cubic inequalities and quadratic equations

(First term exam portion ends here)

Circular measure (Chapter 8, 2 classes)

  • Definition of a radian and conversion between degrees and radians
  • Calculation of arc length and area of a sector

September

Trigonometric identities and equations (Chapter 9, 1 week)

  • Solve problems in sections 9.7, 9.8 and 9.9

October

Series (Chapter 11, 2 weeks)

November

Differentiation I (3 weeks)

Vectors

December

Integration

Application of calculus to simple kinematic problems

Holiday homework on differentiation and vectors

January

Straight line graphs (Chapter 7)

Revision and some timed tests

Mock exam

February

Final Exams

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