SS2 FURTHER MATHS SCHEME OF WORK
First Term
| 1 | Finding a quadratic equation with given sum and product of roots, conditions for equal roots, real roots, and no root |
| 2 | Tangents and Normals to Curves |
| 3 | Polynomials ;definition, basic operations + , x , – , ;– |
| 4 | Polynomials ( Continued) factorization |
| 5 | Cubic Equation , roots of cubic equations |
| 6 | Review and Test |
| 7 | Logical Reasoning: fundamental issues and definitions, and theorem proving |
| 8 | Trigonometric Function, six trig functions of angles of any magnitude ( sine, cosine, tangent, secant, cosecant, cotangent) |
| 9 | Relationship between graph of trigonometric ratios such as sin x and sin 2x, graphs of y= a sin (bx) + c , y = a cos (bx) + c , y = a tan (bx) + c |
| 10 | Graphs of inverse by ratio and equations of simple trigonometric identities |
Second Term
- Differentiation: Limits of Function and First Principle, Differentiation of Polynomial
- Differentiation (Continued): Rules of Differentiation
- Differentiation of Transcendents: Derivative of Trigonometric Functions and Exponential Functions.
- Application of Differentiation: Rate of Change, Equation of Motion, Maximum and Minimum Points and Values of Functions.
- Conic Sections: Equation of Circles, General Equation of Circles, Finding Centre and Radius, Equation and Length of Tangents to a Circle.
- Conic Sections: The Parabola, Hyperbola, and Ellipse
- Review of First Half Term
- Statistics Probability: Sample Space, Event Space, Combination of Events, Independent and Dependent Events.
- Permutation and Combination
- Dynamics: Newton’s Laws of Motion
- Work, Energy, Power, Impulse, and Momentum
Third Term
- BINOMIAL EXPANSION: PASCAL TRIANGLE, BINOMIAL THEOREM OF NEGATIVE, POSITIVE, AND FRACTIONAL POWER
2. DYNAMICS: NEWTON’S LAWS OF MOTION, MOTION ALONG INCLINED PLANE, AND MOTION OF CONNECTED PARTICLES
3. RULES OF DIFFERENTIATION
4. MECHANICS (VECTOR GEOMETRY): SCALAR OR DOT PRODUCT OF TWO VECTORS
5. MECHANICS: VECTORS OR CROSS PRODUCT ON TWO OR THREE DIMENSIONS, CROSS PRODUCT OF TWO VECTORS, AND APPLICATION OF CROSS PRODUCT
6. Replacement Theory
