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

## 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)

• 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

Final Exams