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Secondary School Lesson Notes and Scheme of Work

SS1 First Term Further Mathematics Lesson Note and Scheme of Work

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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).



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.



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.



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.



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.



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.



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.



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.



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.



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.



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.



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.



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.



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.

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