SS1 Further Mathematics Scheme of Work
Further Mathematics is a subject that introduces more advanced mathematical concepts beyond basic Mathematics. It aims to challenge students and broaden their mathematical knowledge, including topics like algebra, calculus, vectors, trigonometry, and statistics. Proficiency in these areas is crucial for fields like engineering, physical sciences, economics, and computer science.
The Lagos state unified scheme of work for Further Mathematics SS 1 is designed to build upon the basic knowledge students gained in junior secondary school and gradually introduce more advanced concepts and techniques. This method allows students to grasp each topic thoroughly before advancing to the more intricate ones.
Additionally, this topic helps students get ready for national exams like WAEC and NECO, giving them an advantage in academics and future career opportunities. It also opens doors for those planning to pursue further education in fields that demand solid mathematical skills.
SS1 First Term Scheme of Work for Further Mathematics
| 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 | |
SS1 Further Mathematics Scheme of Work for Second Term
| 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 | |
SS1 Further Mathematics Scheme of Work for Third Term
| 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 | |
Recommended Further Mathematics Textbooks for Senior Secondary School 1
- Further Mathematics Project SS1, 2 and 3
- Hidden Facts in Further Mathematics for Senior Secondary Schools
- Bounty New Further Mathematics Project 1-3
- Past Questions and Answers on Further Mathematics by F.O. Oluwatope & Y. Akintunde.
- Additional Mathematics by Godman et al