SS3 First Term Further Mathematics Lesson Note and Scheme of Work

 

Week 1: Introduction to Further Mathematics

Lesson Note:

 

Introduce the importance of Further Mathematics in SS3.

Review essential concepts from SS2.

Discuss the course outline and expectations.

Scheme of Work:

 

Algebraic manipulation and simplification.

Introduction to complex numbers.

Revision of quadratic equations.

Week 2: Complex Numbers

Lesson Note:

 

Explore the concept of complex numbers.

Perform operations with complex numbers.

Solve equations involving complex numbers.

Scheme of Work:

 

Addition, subtraction, multiplication, and division of complex numbers.

Solving quadratic equations with complex roots.

Week 3: Matrices and Determinants

Lesson Note:

 

Introduce matrices and determinants.

Perform basic operations on matrices.

Explore properties of determinants.

Scheme of Work:

 

Matrix multiplication and inverse.

Determinants of 2×2 and 3×3 matrices.

Week 4: Vectors

Lesson Note:

 

Define vectors and vector operations.

Discuss vector components and magnitude.

Solve problems involving vector addition and scalar multiplication.

Scheme of Work:

 

Vector addition and subtraction.

Scalar and vector products.

Week 5: Trigonometry

Lesson Note:

 

Review basic trigonometric ratios.

Explore advanced trigonometric concepts.

Solve trigonometric equations.

Scheme of Work:

 

Sine and cosine rules.

Trigonometric identities.

Week 6: Calculus – Differentiation

Lesson Note:

 

Introduce the concept of differentiation.

Explore rules of differentiation.

Solve problems involving derivatives.

Scheme of Work:

 

Basic rules of differentiation.

Applications of derivatives.

Week 7: Calculus – Integration

Lesson Note:

 

Introduce the concept of integration.

Explore rules of integration.

Solve problems involving definite and indefinite integrals.

Scheme of Work:

 

Basic rules of integration.

Applications of integrals.

Week 8: Further Calculus

Lesson Note:

 

Explore advanced calculus concepts.

Discuss applications of calculus in real-world scenarios.

Scheme of Work:

 

Differential equations.

Optimization problems using calculus.

Week 9: Probability

Lesson Note:

 

Introduce probability concepts.

Discuss basic probability rules.

Solve problems involving probability.

Scheme of Work:

 

Probability distributions.

Conditional probability.

Week 10: Statistics

Lesson Note:

 

Review basic statistics concepts.

Explore advanced statistical methods.

Solve problems involving statistical analysis.

Scheme of Work:

 

Measures of central tendency and dispersion.

Regression and correlation.

Week 11: Revision Week

Activities:

 

Comprehensive review of all topics.

Practice exercises and past questions.

Clarification of doubts.

Week 12: Examination Week

Activities:

 

Conduct final examinations.

Evaluate and grade student performances.

Week 13: School Dismissal Week

Activities:

 

Provide feedback on examinations.

Discuss overall performance.

Issue report cards.

End-of-term closure activities.