ADDITIONAL MATHEMATICS ,TOPICS FOR THE TERM. YEAR 10
TOPIC
FUNCTIONS :
OBJECTIVES
By the end of this lesson learners should be able to;
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Define mapping and can differentiate the types of mapping
Define functions
Solve composite functions , domain of a function, inverse and range of a function
To sketch graphs of a function.
SIMULTANEOUS EQUATIONS AND QUADRATICS : By the end of this lesson learners should be able to;
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solve simultaneous equations ( one linear and one non linear)
find the maximum and minimum values of a quadratic function.
Draw or sketch a graph of a quadratic functions.
find the range of quadratic inequalities.
Roots of quadratic equations.
Find the points of a line and a curve when they intersect.
FACTORS AND POLYNOMIALS ; By the end of this lesson learners should be able to;
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Add, subtract and multiply polynomials.
Divide all polynomial functions.
Find other factors of a polynomial.
Solve polynomials in cubic expressions and equations.
Find the remainder of a polynomial.
EQUATIONS , INEQUALITIES AND GRAPHS; By the end of this lesson learners should be able to;
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Solve equations of the type |ax+b| = |cx+d|
Solve modulus inequalities.
Make a sketch graphs of cubic polynomials and their moduli
Solve cubic inequalities graphically .
Solve more complex quadratic equations .
LOGARITHMIC AND EXPONENTIAL FUNCTIONS: By the end of this lesson learners should be able to;
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Solve logarithm in base 10
Solve logarithm with different bases.
Understand all the laws and properties of logarithm.
Solve logarithmic and exponential equations .
Change other bases to base ten
To plot a logarithmic graphs.
RESOURCES; graph board, metre rule,