Further Mathematics is designed for students who seek to delve deeper into advanced mathematical concepts.

This article presents the scheme of work for SSS 2 Further Mathematics, covering topics like quadratic equations, binomial expansions, and conic sections.

Each term’s structure is carefully laid out to challenge students while building on previously learned skills.

The recommended textbooks included helps guide you through these advanced topics effectively.

## SSS 2 FURTHER MATHEMATICS First Term Scheme of Work

**Week 1: Roots of Quadratic Equations**

- Deriving the quadratic formula
- Solving quadratic equations by factoring, completing the square, and using the quadratic formula
- Nature of roots (real, imaginary, equal)

**Week 2: Roots of Quadratic Equations (Cont’d)**

- Sum and product of roots
- Application of sum and product of roots to form new quadratic equations
- Solving word problems involving quadratic equations

**Week 3: Logical Reasoning**

- Introduction to logical statements and propositions
- Logical connectives: AND, OR, NOT, and implications
- Truth tables and logical equivalence

**Week 4: Trigonometric Functions**

- Defining trigonometric functions (sine, cosine, tangent)
- Using trigonometric identities to simplify expressions
- Solving trigonometric equations

**Week 5: Trigonometric Functions (Cont’d)**

- Graphs of trigonometric functions
- Range and domain of specified trigonometrical ratios
- Applications of trigonometric functions to real-world problems

**Week 6: Permutation and Combination**

- Basic principles of counting
- Difference between permutation and combination
- Formulas for permutation (nPr) and combination (nCr)

**Week 7: Mid-Term Break**

**Week 8: Permutation and Combination (Cont’d)**

- Solving problems involving arrangement of objects
- Applications of combination in probability problems
- Factorial notation and its usage in permutations

**Week 9: Binomial Expansion**

- Definition and use of binomial theorem
- General form of binomial expansion
- Binomial coefficients and Pascal’s triangle

**Week 10: Binomial Expansion (Cont’d)**

- Expansion of binomials involving higher powers
- Applications of binomial expansion in algebraic simplifications
- Word problems involving binomial expansion

**Week 11: Revision**

**Week 12: Examination**

**Week 13: Closing**

## SSS 2 FURTHER MATHEMATICS Second Term Scheme of Work

**Week 1: Differentiation**

- Definition of differentiation as a rate of change
- Limit of a function and first principle
- Differentiation of simple algebraic functions
- Rules of differentiation: product rule, quotient rule, and chain rule

**Week 2: Differentiation (Cont’d)**

- Application of differentiation to find slopes of curves and tangents
- Second derivatives and their applications (concavity and points of inflection)
- Motion along a straight line: displacement, velocity, and acceleration

**Week 3: Conic Sections**

- Definition and types of conic sections (parabola, ellipse, hyperbola)
- Derivation of equations for each conic section
- Graphs of conic sections

**Week 4: Conic Sections (Cont’d)**

- Solving problems involving conic sections
- Applications of conic sections in geometry and physics
- Equation and length of tangenof a circle

**Week 5: Probability**

- Basic concepts in probability: sample space, events, outcomes
- Addition and multiplication rules of probability
- Conditional probability

**Week 6: Probability (Cont’d)**

- Solving problems involving independent and dependent events
- Bayes’ theorem and its applications
- Use of permutations and combinations in probability

**Week 7: Mid-Term Break**

**Week 8: Vectors in 3 Dimensions (3D)**

- Introduction to 3D vectors: components and direction ratios
- Vector operations: addition, subtraction, and scalar multiplication
- Dot and cross products in 3D vectors

**Week 9?: Vectors (+)**

- Finding angles between vectors in 3D
- Applications of vectors to geometry problems in space
- Solving word problems involving vector quantities

**Week 10: Dynamics**

- Introduction to dynamics and its laws (Newton’s laws of motion)
- Force, mass, and acceleration
- Applications of dynamics in solving motion problems

**Week 11: Revision**

**Week 12: Examination**

**Week 13: Closing**

## SSS 2 FURTHER MATHEMATICS Third Term Scheme of Work

**Week 1: Inventory Model**

- Definition of inventory models
- Types of inventory models: EOQ, EPQ
- Cost minimization in inventory models

**Week 2: Inventory Model (Cont’d)**

- Solving problems involving inventory models
- Applications of inventory models in business and economics
- Managing stock levels using inventory models

**Week 3: Replacement Model**

- Introduction to replacement models and their importance
- Types of replacement models (individual and group replacement)
- Solving replacement problems

**Week 4: Replacement Model (Cont’d)**

- Determining optimal replacement times for equipment and machinery
- Application of replacement models in maintenance scheduling
- Case studies involving replacement models

**Week 5: Projectiles**

- Definition of projectile motion
- Equations of motion for projectiles (horizontal and vertical components)
- Applications of projectile motion in physics and engineering

**Week 6: Dynamics**

- Solving advanced problems in dynamics involving motion in a straight line
- Application of forces and Newton’s second law to real-world problems
- Understanding work-energy theorem

**Week 7: Mid-Term Break**

**Week 8: Dynamics (Cont’d)**

- Motion in two dimensions: forces, velocity, and acceleration
- Conservation of linear momentum in collisions
- Applications of momentum in physics and mechanics

**Week 9: Dynamics (Cont’d)**

- Solving problems involving elastic and inelastic collisions
- Center of mass and motion of rigid bodies
- Advanced applications of Newton’s laws in mechanics

**Week 10: Curve Sketching**

- Techniques for sketching curves of functions
- Identifying turning points, asymptotes, and intercepts
- Solving optimization problems using curve sketching

**Week 11: Revision**

**Week 12: Examination**

**Week 13: Closing**

## SSS 2 FURTHER MATHEMATICS Recommended Textbook

- Further Mathematics for Senior Secondary Schools – N. Odili
- New Further Mathematics Project 2 for Senior Secondary Schools – Afolabi, A. T. & Others
- Modern Further Mathematics – M. O. Taiwo

## RECAP

SSS 2 Further Mathematics presents a rigorous array of advanced mathematical concepts to challenge and inspire you.

The first term focuses on quadratic equations, trigonometric functions, and binomial expansion.

In the second term, you tackle differentiation, probability, and vectors in three dimensions.

Finally, the third term sharpens your understanding of inventory models, projectiles, and dynamic systems, with recommended textbooks guiding you through these complex topics.

**DISCLAIMER**: *Everything* *on this page is based on our research of what is obtainable for schools in all the states in the country, including government and some private schools. Schemes of work normally undergo a series of reviews and some schools modify them to suit their specific needs. *

*While we do all our possible best to keep up with the latest and **approved schemes of work** in the country, check the specific template your school uses. For example, some private secondary schools integrate the British curriculum. If you teach in such schools, expect to see slight changes to what we offer on this page. If you have any questions or require personalised support, kindly feel free to **contact us**.*