SCHEME OF WORK FURTHER MATHEMATICS SSS 1 THIRD TERM

SUBJECT: FURTHER MATHEMATICS

CLASS: SSS 1

SCHEME OF WORK

WEEK TOPICS

1. Polynomials 1: (a) Definition of polynomials (b) Basic operations on polynomials. (c) Remainder and factor theorem. (d) Zeros of polynomials.
2. Polynomials 2: (a) Roots of cubic equation: Sum of roots; Sum of products of two Roots; Products of roots. (b) Graphs of polynomial function.
3. Permutations: (a) Permutation (arrangement) (b) Cyclic permutation (c) Arrangement of identical objects. (c) Arrangement in which repetitions are allowed.
4. Combination: (a) Combination (selection). (b) Conditional arrangements and selection. (c) Probability problems involving arrangement and selection.
5. Binomial Expansion 1: (a) Pascal triangle (ii) Binomial expansion of (a+b)ⁿ , where n can be positive integer, negative integer or fractional value.
6. Binomial Expansion 2: (a) Finding n^th term (b) Application of binomial expansion
7. Mid-term break.
8. Roots of quadratic equation 1: (a) Quadratic equation (completing the square and formula method). (b) Sum and product of roots of quadratic equation (c) Finding quadratic equation given sum and product of roots, x² – (sum of roots) + (product) = 0 (d) Condition for quadratic equation to have: (i) Equal roots (b² = 4ac) (ii) Real roots b² > 4ac (iii) No roots b² < 4ac
9. Roots of quadratic equation 2: (a) Conditions for given line to: (i) intersect a curve, (ii) be tangent to curve, (iii) not intersect a curve (b) Solution of problems on roots of quadratic equation. (c) Maximum and minimum values.
10. Revision.
11. Examination.