# SS1 Third Term Further Mathematics Lesson Note and Scheme of Work

Third Term: Further Mathematics Lesson Note and Scheme of Work

Week 1: Further Matrices and Determinants

Lesson Note:

Advanced topics in matrices and determinants.

Explore properties and applications.

Solve problems involving advanced matrix operations.

Activities:

Complex matrix operations practice.

Real-life applications of advanced matrices.

Scheme of Work:

Advanced matrix properties.

Applications in various fields.

Week 2: Further Complex Numbers

Lesson Note:

Advanced operations and applications of complex numbers.

Discuss polar form and De Moivre’s theorem.

Solve problems involving advanced complex numbers.

Activities:

Polar form calculations.

Applications of complex numbers in physics and engineering.

Scheme of Work:

Advanced complex number operations.

Polar form and De Moivre’s theorem.

Week 3: Further Differential Equations

Lesson Note:

Higher-order differential equations.

Solve systems of differential equations.

Discuss applications in physics and engineering.

Activities:

Solving higher-order differential equations.

Practical applications of systems of differential equations.

Scheme of Work:

Higher-order differential equations.

Systems of differential equations.

Week 4: Further Calculus – Part II

Lesson Note:

Advanced topics in integration and differentiation.

Discuss partial derivatives and multiple integrals.

Solve problems involving advanced calculus concepts.

Activities:

Partial derivatives and multiple integrals practice.

Real-world applications of advanced calculus.

Scheme of Work:

Partial derivatives.

Multiple integrals.

Week 5: Further Coordinate Geometry

Lesson Note:

Explore advanced topics in coordinate geometry.

Discuss polar coordinates and parametric equations.

Solve problems involving advanced coordinate geometry.

Activities:

Polar coordinates and parametric equations exercises.

Graphical representation of advanced equations.

Scheme of Work:

Advanced coordinate geometry concepts.

Polar coordinates and parametric equations.

Week 6: Further 3D Geometry

Lesson Note:

Advanced topics in three-dimensional geometry.

Discuss vectors in 3D space.

Solve problems involving advanced 3D geometry.

Activities:

Vector operations in 3D space.

Visualization exercises for advanced 3D geometry.

Scheme of Work:

Vectors in 3D space.

Advanced 3D geometry problems.

Week 7: Further Trigonometry – Part II

Lesson Note:

Advanced trigonometric concepts and identities.

Discuss inverse trigonometric functions.

Solve problems involving advanced trigonometry.

Activities:

Inverse trigonometric functions practice.

Applications of advanced trigonometry.

Scheme of Work:

Advanced trigonometric identities.

Inverse trigonometric functions.

Week 8: Further Probability and Statistics

Lesson Note:

Advanced probability distributions and statistical methods.

Discuss hypothesis testing and regression analysis.

Solve problems involving advanced probability and statistics.

Activities:

Hypothesis testing and regression analysis exercises.

Real-world applications of advanced statistics.

Scheme of Work:

Advanced probability distributions.

Hypothesis testing and regression analysis.

Week 9: Further Number Theory

Lesson Note:

Advanced topics in number theory.

Discuss modular arithmetic and congruences.

Solve problems involving advanced number theory concepts.

Activities:

Modular arithmetic and congruences practice.

Real-life applications of advanced number theory.

Scheme of Work:

Advanced number theory concepts.

Modular arithmetic and congruences.

Week 10: Further Mechanics

Lesson Note:

Introduce advanced topics in mechanics.

Discuss kinematics and dynamics of particles.

Solve problems involving advanced mechanics concepts.

Activities:

Kinematics and dynamics exercises.

Practical applications of advanced mechanics.

Scheme of Work:

Advanced mechanics concepts.

Kinematics and dynamics of particles.

Week 11: Revision Week

Lesson Note:

Review key concepts from the third term.

Conduct practice tests and quizzes.

Activities:

Group revision sessions.

Peer teaching on challenging topics.

Scheme of Work:

Comprehensive review of all third-term topics.

Week 12: Examination Week

Lesson Note:

Conduct final assessments on third-term topics.

Activities:

Written examinations.

Oral assessments.

Scheme of Work:

Final examinations on all third-term topics.

Week 13: School Dismissal Week

Lesson Note:

Recap key takeaways from the term.

Provide guidance for further study during the break.

Activities:

Q&A session on remaining doubts.

Distribute resources for independent study.

Scheme of Work:

Summarize the term’s learnings.

Encourage continued learning during the break.