FIRST TERM SSI SCHEME OF WORK – FURTHER MATHS

1. INDICES

Laws of indices

Application of the laws to solve complex problems

Equation of indices

2. LOGARITHMS

Basic laws

Application of the laws

Equation of logarithms

3. SURDS

Definition

Rules of surd

Addition and subtraction

Conjugate surds/rationalization

Equality of surds

4. Sequences and series as a whole

SECOND TERM SSI SCHEME OF WORK – FURTHER MATHS

WEEK 1 Sequences and series

Definition of terms

A.P

nth term of an A.P

simultaneous equation of A.P

WEEK 2 Sequence

Arithmetic mean

Sum of an A.P

Problems involving logarithm and financial cases

WEEK 3 Sequence

G.P

nth term of G.P

Sum of infinity

WEEK 4 Quadratic Equation

Fatorisation method, completing the square method,

Nature of quadratic equation.

WEEK 5 Quadratic Equation

The use of almighty formula

General problems involving logarithm, indices and perfect square in quadratic equation.

WEEK 6 Inequalities

Definitions and symbols of inequality, the number line

Sum and product of roots symmetric function of quadratic equation

Construction of quadratic equations from given roots. 71/113

WEEK 7 Inequalities, Definitions and symbols of inequality, The number line

Inequality graphs of two variables, Modula inequality.

THIRD TERM SSI SCHEME OF WORK – FURTHER MATHS

1. Functions and polynomials

2. Composition of polynomials

3. Addition and subtraction of poly

4. Zero and undefined functions

5. Division of polynomials

6. Remainder's theorem

7. Factors theorem

8. Factors theorem leading to simultaneous equations

9. Sketch of polynomial graphs