Senior Secondary Education Science Syllabus. Federal Further Maths Scheme of Work for SS3 First term and Second term – Schemeofwork.com
FURTHER MATHS SS3 FIRST TERM
| WEEK | TOPIC / CONTENT | ACTIVITIES |
| 1 | PARTIAL FRACTIONS i. Basic definition ii. Proper rational function with denominators as linear factors (distinct and repeated) and others. | Teacher: leads students to resolve rational functions into partial fraction. Students: practice and solve different types of partial fractions. Instructional Resources: charts of problems involving partial fractions etc. |
| 2 | INTEGRATION i. Understand integration as reverse process of differentiation. ii. Integration of algebraic polynomial iii. Integration of logarithmic functions. | Teacher: guides students to understand integration as the reverse process of differentiation. Students: identify integration as the reverse process of differentiation. Instructional Resources: charts, showing integration as the reverse process of differentiation etc. |
| 3 | INTEGRATION i. Definite integrals and application to kinetics ii. Application of definite integral to v-t and s-t graph. | Teacher: guide students to integration algebraic polynomials and logarithmic function. Students: solve problems on integrate of algebraic polynomials and logarithmic function. Instructional Resource: charts of problems on integration of polynomial etc. |
| 4 | INTEGRATION i. Area under the curve ii. Trapezoidal rule iii. Volume of solids of revolution | Teacher: guide students to solve problems on area bounded by two curves. Students: Solve problems on integration including areas bounded by two curves Instructional Resources: charts showing integration, including area bounded by curves etc. |
| 5 | MATRICES AND DETERMINANTS i. Matrices as linear transformations ii. Determinants | Teacher: leads students to identify concept of matrices as linear transformation Students: Work out examples on matrices Instructional Resources: charts showing different types of matrices etc. |
| 6 | MATRICES AND DETERMINANTS i. Solution of 2 simultaneous equation ii. solution of 3 simultaneous equation | Teacher: leads students to solve systems of 2 and 3 simultaneous equations Students: engage in solving systems of 2 and 3 simultaneous equations. Instructional Resources: charts showing 2 and 3 simultaneous equation etc. |
| 7 | CONIC SECTION i. Equation of parabola, ellipse, hyperbola in rectangular Cartesian coordinates. ii. Parametric equations | Teacher: introduces the equation of parabola, ellipse and hyperbola. Students: use the equation to solve practical problems Instructional Resources: the solid shapes of parabolic, elliptic and hyperbolic types etc. |
| 8 | CORRELATION i. Concept of correlation as measure of relationships ii. Rank correlation iii. Scatter diagrams iv. Product moment v. Tied rank | Teacher: guides the students to identify the concept of correlation from scatter diagram. Students: solve practical problem on correlation Instructional Resources: Real life data i.e. scores, ages etc. |
| 9 | PROBABILITY DISTRIBUTION AND APPROXIMATIONS i. Binomial ii. Poison iii. Binomial approximation by poison iv. Normal distribution v. Normal approximation by binomial distribution. | Teacher: Exposes students to the shapes and properties of the normal, poison and Binomial distributions. Students: solve simple problems and apply probability distribution for approximation. |
| 10 | VARIANCE OF THE DIFFERENT PROBABILITY DISTRIBUTIONS MeanVarianceCoefficient of variance | Teacher: defines the terms under consideration Students: write down mean, variance and coefficient of variance. Instructional Resources: chart showing variance of probability distribution. |
| 11 | INEQUALITIES i. Quadratic inequalities ii. Inequalities in two variables | Teacher: guides students to solve quadratic inequalities. Students: solve problems on quadratic inequalities. Instructional Resources: chart showing quadratic inequalities and inequalities in two variables. |
| 12 | Revision | Revision |
| 13 | Examinations | Examinations |
| 14 | Examinations | Examinations |
Science Syllabus. Federal Further Maths Scheme of Work for SS3 First term and Second term – Schemeofwork.com
FURTHER MATHS SS3 SECOND TERM
| WEEK | TOPIC / CONTENT | ACTIVITIES |
| 1 | STATICS i. Forces in equilibrium ii. Resultant of parallel forces (in the same direction) and (in opposite directions) acting on a rigid body iii. Moment of a force (2 and 3 forces) acting as a point. iv. Polygon of forces v. Resolution of forces of friction. | Teacher: defines forces and their effect on a body leads the students to resolve forces. Students: appreciate the concept of forces and their action on a rigid body. Find the moment of forces. Instructional Resources: chart showing various component of forces. |
| 2 | MODELLING i. Introduction to modeling ii. Dependent and independent variable in mathematical modeling. iii. Construction of models iv. Methodology of modeling v. Application to physical, biological, social and behavioural services. | Teacher: explains and gives practical examples of model. Students: construct some simple mathematical models. Instructional Resources: chart showing various types of model, i.e. symbolic, conic, mental models etc. |
| 3 | GAMES THEORY i. Introduction to games theory ii. Description of types of games iii. Solution of two person, zero sum games using pure and mixed strategies iv. Matrix games. | Teacher: Represents games in matrix form. Students: describes the various types of games. Instructional Resources: chart of various types of games. |
| 4 | General Revision (SS 1 work) | |
| 5 | Revision (SS 2 work) | |
| 6 | General Revision (SS 3) | |
| 7 | Solving past questions I | |
| 8 | Solving past questions II | |
| 9 | Solving past questions III | |
| 10 | Examinations | |
| 11 | Examinations |
Science Syllabus. Federal Further Maths Scheme of Work for SS3 First term and Second term – Schemeofwork.com
