2019-20 10th IG Addl Maths (0606)
Table of Contents
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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
Trigonometric identities continued (1 week solving problems)
Series (Chapter 11, 2 weeks)
Straight line graphs (Chapter 7, one class and rest self-study)
November
Differentiation I (3 weeks)
Vectors
December
Integration
Application of calculus to simple kinematic problems
Holiday homework on differentiation and vectors
January
Revision and some timed tests
Mock exam
February
Final Exams