201920 10th IG Addl Maths (0606)
Table of Contents

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
 Oneone, manyone and onemany 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