# 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.