SS3 First Term Further Mathematics Lesson Note and Scheme of Work
SS3 First Term Further Mathematics Lesson Note and Scheme of Work
Week 1: Introduction to Further Mathematics
Lesson Note: Introduce the course, its importance, and relevance to real-world applications.
Scheme of Work: Cover basic concepts like sets, relations, and functions.
Activities: Group discussions on real-life scenarios involving sets and functions.
Week 2: Matrices and Determinants
Lesson Note: Explore matrices, determinants, and their applications.
Scheme of Work: Define matrices, perform operations, and solve systems of linear equations.
Activities: Hands-on exercises solving real-world problems using matrices.
Week 3: Mathematical Induction
Lesson Note: Teach mathematical induction, emphasizing its use in proving statements.
Scheme of Work: Guide students through examples and applications of mathematical induction.
Activities: Engage in problem-solving sessions applying mathematical induction principles.
Week 4: Complex Numbers
Lesson Note: Introduce complex numbers, operations, and applications.
Scheme of Work: Cover basics, polar form, and De Moivre’s Theorem.
Activities: Solve problems involving complex numbers and explore geometric interpretations.
Week 5: Vector Geometry
Lesson Note: Explore vector concepts, dot product, and cross product.
Scheme of Work: Teach vector operations, including applications in physics and engineering.
Activities: Practical exercises demonstrating vector applications in real-life scenarios.
Week 6: Further Calculus (Differentiation)
Lesson Note: Review basic calculus concepts and delve into advanced differentiation.
Scheme of Work: Differentiate trigonometric, exponential, and logarithmic functions.
Activities: Hands-on exercises applying advanced differentiation techniques.
Week 7: Further Calculus (Integration)
Lesson Note: Introduce advanced integration techniques.
Scheme of Work: Cover integration by parts, partial fractions, and applications.
Activities: Solve problems involving integration, emphasizing real-world applications.
Week 8: Differential Equations
Lesson Note: Teach basic differential equations and their solutions.
Scheme of Work: Explore first-order and second-order differential equations.
Activities: Solve differential equations and analyze their significance in various fields.
Week 9: Probability and Statistics
Lesson Note: Introduce probability concepts and statistical analysis.
Scheme of Work: Cover probability distributions, sampling, and data interpretation.
Activities: Conduct experiments to illustrate probability concepts and analyze real-world data.
Week 10: Further Trigonometry
Lesson Note: Explore advanced trigonometric concepts and identities.
Scheme of Work: Cover double and half-angle identities, inverse trigonometric functions.
Activities: Problem-solving sessions focusing on trigonometric identities and applications.
Week 11: Revision Week
Lesson Note: Review key topics covered in the term.
Scheme of Work: Provide practice questions and reinforce understanding.
Activities: Conduct a comprehensive review with interactive quizzes and group discussions.
Week 12: Examination Week
Lesson Note: Prepare students for examinations, addressing any last-minute concerns.
Scheme of Work: Administer the final examination.
Activities: Conduct a mock exam and offer guidance on effective exam strategies.
Week 13: School Dismissal Week
Lesson Note: Recap the term’s achievements and express appreciation.
Scheme of Work: Conclude the term with a brief overview and encouragement.
Activities: Reflect on the term’s learnings and discuss plans for the next term.
This comprehensive scheme aims to cover key topics in Further Mathematics, providing a balanced mix of theory, application, and practical problem-solving throughout the term.
