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# Annual Planning for Additional Mathematics Form 4 2011

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### Annual Planning for Additional Mathematics Form 4 2011

1. 1. ANNUAL PLANNING FOR ADDITIONAL MATHEMATICS FORM 4 / 2011 WEEK TOPICS/LEARNING AREA LEARNING OUTCOMES POINTS TO NOTE3 Jan – • Registration Day 7 Jan • Orientation Week
2. 2. 3 A1 FUNCTIONS Students should be able to :WEEKS(10 Jan – 1.0 Understand the concept of 1.1 Represent a relation using  Discuss the idea of set and 28 Jan) relations a) arrow diagram introduce set notation b) ordered pairs c) graphs 1.2 Identify domain, codomain, object, image and range of a relation. 1.3 Classify a relation shown on a mapped diagram as : one to one, many to one or many to many relation. 2.0 Understand the concept of 2.1 Recognise function as a special  Represent functions using functions relation. arrow diagram, ordered 2.2 Express functions using function pairs or graph. notation.  Examples of functions 2.3 Determine domain, object, image include algebraic (linear and and range of a function. quadratic), trigonometric 2.4 Determine image of a function and absolute value. given the object and vice versa.  Define and sketch absolute value function. 3.0 Understand the concept of 3.1 Determine composition of two  Involve algebraic functions composite functions functions. only. 3.2 Determine image of composite  Images of composite functions given the object and function include arrange of vice versa. values. 3.3 Determine one of the function in a given composite function given the other related function. 4.0 Understand the concept of inverse 4.1 Find object by inverse mapping  Limit to algebraic function. functions given its image and function. Exclude inverse of 4.2 Determine inverse function using composite function. algebra.  Emphasise that inverse of a 4.3 Determine and state the function is not necessarily a condition for existence of an function. inverse function.