SS1 First Term Further Mathematics Lesson Note and Scheme of Work
Week 1: Introduction to Sets and Functions
Lesson Note:
Define sets and their elements.
Introduce types of sets (finite, infinite, equal, equivalent).
Explore basic set operations (union, intersection, complement).
Activities:
Group discussions on real-life examples of sets.
Solve practical problems involving set operations.
Assign exercises for homework.
Scheme of Work:
Introduction to sets and elements.
Types of sets.
Basic set operations.
Week 2: Number Bases and Basic Number Theory
Lesson Note:
Discuss the concept of number bases (binary, octal, hexadecimal).
Teach conversions between different number bases.
Introduce basic number theory concepts.
Activities:
Convert numbers between different bases.
Solve problems related to modular arithmetic.
Engage in a class quiz on number bases.
Scheme of Work:
Number bases.
Conversions between bases.
Basic number theory.
Week 3: Indices and Logarithms
Lesson Note:
Explain indices and laws of indices.
Introduce logarithms and their properties.
Solve problems involving indices and logarithms.
Activities:
Hands-on exercises on index and logarithm calculations.
Group discussions on practical applications.
Scheme of Work:
Laws of indices.
Introduction to logarithms.
Applications of logarithms.
Week 4: Polynomial Expressions and Equations
Lesson Note:
Define polynomials and their degrees.
Discuss polynomial operations (addition, subtraction, multiplication).
Solve polynomial equations.
Activities:
Polynomial expression manipulations.
Solve real-world problems involving polynomials.
Scheme of Work:
Introduction to polynomials.
Polynomial operations.
Solving polynomial equations.
Week 5: Quadratic Equations and Inequalities
Lesson Note:
Explore quadratic equations and their solutions.
Discuss inequalities and their graphical representations.
Solve quadratic inequalities.
Activities:
Quadratic equation problem-solving.
Graphical representation of inequalities.
Scheme of Work:
Quadratic equations.
Inequalities and their graphs.
Week 6: Trigonometry – Part I
Lesson Note:
Introduce trigonometric ratios (sine, cosine, tangent).
Solve right-angled triangle problems using trigonometry.
Discuss angles of elevation and depression.
Activities:
Practical trigonometric measurements.
Real-life applications of trigonometry.
Scheme of Work:
Trigonometric ratios.
Applications in right-angled triangles.
Angles of elevation and depression.
Week 7: Trigonometry – Part II
Lesson Note:
Extend trigonometric ratios to any angle.
Explore the unit circle and radian measure.
Solve problems involving trigonometric identities.
Activities:
Unit circle exercises.
Trigonometric identity problem-solving.
Scheme of Work:
Trigonometric ratios for any angle.
Radian measure.
Trigonometric identities.
Week 8: Vectors in Two Dimensions
Lesson Note:
Define vectors and their representation.
Introduce vector operations (addition, scalar multiplication).
Solve problems involving vectors in two dimensions.
Activities:
Vector addition and subtraction exercises.
Practical applications of vectors.
Scheme of Work:
Introduction to vectors.
Vector operations in two dimensions.
Week 9: Probability
Lesson Note:
Define probability and basic probability rules.
Discuss conditional probability.
Solve problems involving probability.
Activities:
Probability experiments in the classroom.
Group discussions on real-life probability scenarios.
Scheme of Work:
Basics of probability.
Conditional probability.
Week 10: Statistics – Part I
Lesson Note:
Introduce descriptive statistics (mean, median, mode).
Discuss data presentation techniques (tables, graphs).
Solve problems involving basic statistics.
Activities:
Collect and analyze class data.
Present data using various techniques.
Scheme of Work:
Descriptive statistics.
Data presentation.
Week 11: Revision Week
Lesson Note:
Review key concepts from previous weeks.
Conduct practice tests and quizzes.
Activities:
Group revision sessions.
Peer teaching on challenging topics.
Scheme of Work:
Comprehensive review of all topics.
Week 12: Examination Week
Lesson Note:
Conduct final assessments based on the covered topics.
Activities:
Written examinations.
Oral assessments.
Scheme of Work:
Final examinations on all 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 any remaining doubts.
Distribute resources for independent study.
Scheme of Work:
Summarize the term’s learnings.
Encourage continued learning during the break.
