Further Mathematics is a subject that opens the doors to deeper and more complex mathematical concepts beyond what students encounter in basic Mathematics. It is designed to challenge and expand students’ mathematical horizons, and It covers a range of topics including algebra, calculus, vectors, trigonometry, and statistics. These areas are essential for success in disciplines such as engineering, physical sciences, economics, and computer science.
The Lagos state unified scheme of work in Further Mathematics for senior secondary school 1 is structured to build on the foundational knowledge students have acquired in junior secondary school by gradually introducing more sophisticated concepts and techniques. This progressive approach ensures that students develop a solid understanding of each topic before moving on to more complex ones.
Furthermore, this subject prepares students for national examinations such as WAEC and NECO, providing them with a competitive edge in both academics and future career prospects. It also paves the way for those aspiring to pursue higher education in fields that require strong mathematical proficiency.
In senior secondary school 1, students are assessed in Further Mathematics based on the school’s prerogative. However, typically, they are evaluated through tests or quizzes (Continuous Assessment Tests) and end-of-term exams.
Grading follows a scale from A to F, with A representing excellent performance, typically scoring around 70% or 80%, and F indicating failure, usually below 50% or 45%.
| LAGOS STATE MINISTRY OF EDUCATION: UNIFIED SCHEMES OF WORK FOR SENIOR SECONDARY SCHOOLS | ||
| Further Mathematics Scheme of Work for Senior Secondary Schools 1(SSS1) | ||
| Class | S.S.S 1 | |
| Subject | Further Mathematics | |
| Term | First Term | |
| Week | Topic | Breakdown |
| SUB-THEME: PURE MATHEMATICS | ||
| 1&2 | Sets | (1) Definition of set (2) Set notation method. (3) Types of set. (a) Null set (b) Single on set finite and infinite set -Subset -Universal set -Power set- Set operation (a) Union (b) Intersection (c) Complement number of elements in a set (2) Venn diagram and application up to 3 set problems. |
| 3 | Indices and Logarithms | 1) Law of indices (2) Application of indices, solution of indices equation up to quadratic equation law of logarithm Where: a = 1 =0 ℎ =1 Change of base of logarithm |
| 4 | Surds | (1) Definition of surd (2) Rules for manipulating surd (3) Rationalization of denominator |
| 5 | Linear Inequalities | (1) Linear inequalities in one variable (2) Linear inequalities in two variables graph of linear inequalities in two variables. |
| 6 | Binary operations | (1) Definition of binary operation. (2) Law of binary operation.-Associative Law-Distributive law-Law of complementation (3) Identify the element inverse of an element. (4) Multiplication table of binary operation. |
| 7 | Functions | (1) Definition of function (2) Type of function one to one function into function:-inverse function.-identify function.-constant function.-circular function.-logarithmic function.-exponential function.-composite function. (3) Application of function-solution of problem of function. |
| 8,9&10 | Sequence and Series | (1) Definition of sequence. (2) The nth term of a sequence. (3) Definition of series (4) The nth sum of a series. (5) Arithmetic and geometric progressive. |
| 11 | Revision | |
| 12 | Examination | |
| Term | Second Term | |
| Week | Topic | Breakdown |
| SUB-THEME: PURE MATHEMATICS | ||
| 1&2 | Trigonometric ratio of special angle and logical reasoning | (1) Trigonometric ratios of 30,45, and 60 degrees. (2) Application of trigonometric ratio of 30,45, and 60 degrees. |
| 3 | Calculating and processing device | (1) Calculating devices.-Abacus calculating device. (2) Decimal and binary system. (3) Flow chart (4) Application of flow charts. |
| 4,5,&6 | The straight line on coordinate geometry | (1) Midpoint of a line segment. (2) Gradient of a straight line (3) Distance between two points (4) Conditions for Parallelism and perpendicularity. (5) Equation of a line (6) Transform relationship into linear form. (7) Area of triangles and quadrilateral. |
| THEME: VECTORS | ||
| 7&8 | Vectors in two dimensions | (1) Scalar and vectors (a) Zero vectors (b) Negative vectors (2) Vector addition and subtraction.-Scalar multiplication vectors.-Magnitude and direction of a vector.-Unit vectors (3) The triangle law parallelogram law.-Resolution of vectors. (4) Scalar (dot) vector application of scalar (dot) product. |
| 9,10,11,&12 | Revision and Examinations | |
| Term | Third Term | |
| Week | Topic | Breakdown |
| SUB-THEME: STATISTICS | ||
| 1&2 | Location | Mean, mode, median, deciles percentiles quartiles. |
| 3&4 | Measures of dispersion | Range inter-quartiles, mean deviation, and standard deviation. |
| 5 | Measures of location | Coefficient of variation. |
| THEME: OPERATION RESEARCH | ||
| 6 | History and nature of operation research | History and nature of operation research |
| 7 | History and nature of operation research | (1) Models of operation research. (2) Linear programming model. (3) Transportation model (Least cost and northwest corner). (4) Assignment models |
| SUB-THEME: STATISTICS | ||
| 8 | Models | Practical application of the models. |
| 9,10,11,&12 | Revision and Examination | |
The recommended Further Mathematics textbooks for SSS1 include but are not limited to the following:
