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Course / Course Details

Form 5 Additional Mathematics

  • Michael Rolex image

    By - Michael Rolex

  • 0 students
  • 166 Hours 40 Min
  • (0)

Course Requirements

Target Learners:
Form 5 students in the Cameroonian secondary education system who wish to strengthen their mathematical reasoning and problem-solving skills, especially those preparing for GCE O-Level examinations or intending to pursue science, engineering, or technical fields.

Prerequisites:

• Strong foundation in Form 3 and Form 4 Mathematics.
• Knowledge of algebra, geometry, trigonometry, and basic functions.
• Ability to solve mathematical problems and interpret results logically.

Course Duration:

12–16 weeks depending on the depth of coverage and assessment schedule.

Course Overview & Core Areas:

1. Algebra and Functions
• Advanced algebraic manipulation and simplification.
• Functions, graphs, transformations, and inverse functions.

2. Trigonometry
• Trigonometric identities and equations.
• Applications of trigonometry in problem-solving.

3. Calculus (Introduction)
• Concept of limits and differentiation.
• Basic rules of differentiation and applications (gradients, rates of change).

4. Coordinate Geometry
• Straight lines, circles, and equations of curves.
• Graphical representation and interpretation.

5. Sequences and Series
• Arithmetic and geometric progressions.
• Sum of series and practical applications.

6. Practical Applications & Problem Solving
• Solving real-life mathematical problems.
• Past questions practice and exam techniques.

Learning Objectives & Expected Outcomes:

By the end of the course, learners should be able to:
• Apply advanced algebraic techniques to solve complex problems.
• Use trigonometric identities and solve related equations accurately.
• Differentiate simple functions and apply calculus concepts.
• Analyze and interpret graphs and coordinate geometry problems.
• Solve problems involving sequences and series.
• Demonstrate strong analytical and problem-solving skills in examination contexts.

Teaching & Assessment Approach:

• Video lessons and step-by-step explanations via the Yakili app.
• Guided exercises, quizzes, and assignments.
• Continuous assessment through tests and problem-solving tasks.
• End-of-term evaluation aligned with GCE standards.

Relevance for Cameroonian Learners:

This course prepares Form 5 students for success in GCE O-Level Additional Mathematics, while building a strong foundation for A-Level studies and careers in science, engineering, technology, and related fields.

Course Description

The Form 5 Additional Mathematics course provides learners with advanced mathematical knowledge and problem-solving skills required for success in the GCE O-Level examination and further studies. The course emphasizes logical reasoning, analytical thinking, and the application of mathematical concepts to real-life situations. Learners develop competence in algebra, trigonometry, calculus, and coordinate geometry through structured lessons and guided practice.

Course Overview & Core Areas

1. Algebra and Functions

  • Advanced algebraic techniques and simplification.
  • Study of functions, graphs, transformations, and inverses.

2. Trigonometry

  • Trigonometric identities, equations, and graphs.
  • Application of trigonometry in solving problems.

3. Calculus (Introduction)

  • Concept of limits and differentiation.
  • Applications of differentiation (rates of change, gradients).

4. Coordinate Geometry

  • Equations of straight lines and circles.
  • Graphical interpretation and problem-solving.

5. Sequences and Series

  • Arithmetic and geometric progressions.
  • Sum of series and applications.

6. Practical Applications

  • Solving structured and real-life mathematical problems.
  • Practice of past examination questions and techniques.

Learning Objectives & Expected Outcomes

By the end of the course, learners should be able to:

  • Apply advanced algebraic methods to solve complex problems.
  • Use trigonometric concepts and identities accurately.
  • Differentiate functions and apply basic calculus principles.
  • Solve coordinate geometry problems and interpret graphs.
  • Work with sequences and series effectively.
  • Demonstrate strong problem-solving and analytical skills.

Teaching & Assessment Approach

  • Video-based lessons and step-by-step explanations via Yakili.
  • Guided exercises, quizzes, and assignments.
  • Continuous assessment through tests and practice tasks.
  • End-of-term evaluation aligned with GCE O-Level standards.

Relevance for Cameroonian Learners

This course equips Form 5 students with the mathematical foundation required for GCE O-Level success and prepares them for advanced studies in science, engineering, and technology within the Cameroonian education system.

Course Outcomes

By the end of this course, learners should be able to:

  1. Apply advanced algebraic techniques to simplify expressions and solve complex equations accurately.
  2. Use functions and graphs effectively, including transformations and inverse functions.
  3. Solve trigonometric equations and apply identities in various problem-solving contexts.
  4. Differentiate functions correctly and apply basic calculus concepts to real-life situations.
  5. Analyze and solve coordinate geometry problems, including straight lines and circles.
  6. Work with sequences and series, including arithmetic and geometric progressions.
  7. Demonstrate strong logical reasoning and problem-solving skills in structured and examination questions.
  8. Apply mathematical concepts confidently in preparation for the GCE O-Level Additional Mathematics examination.

Course Curriculum

  • 4 chapters
  • 23 lectures
  • 0 quizzes
  • 166 Hours 40 Min total length
Toggle all chapters
1 Permutation, Combination and the Binomial theorem I.
6 Min

Permutation, Combination and the Binomial theorem.

2 Permutation, Combination and the Binomial theorem III.
10 Min

Permutation, Combination and the Binomial theorem III.

3 Permutation, Combination and the Binomial theorem II.
8 Min

Permutation, Combination and the Binomial theorem II.

1 Application of Calculus I.
6 Min

Application of Calculus I.

2 Application of Calculus III.
6 Min

Application of Calculus III.

3 Application of Calculus II.
6 Min

Application of Calculus II.

4 Integration II.
6 Min

Integration II.

5 Integration I.
6 Min

Integration I.

6 Differentiation IV.
5 Min

Differentiation IV.

7 Differentiation I.
7 Min

Differentiation I.

8 Circular Measure and Trigonometry IV.
7 Min

Circular Measure and Trigonometry IV.

9 Circular Measure and Trigonometry III.
8 Min

Circular Measure and Trigonometry III.

10 Circular Measure and Trigonometry II.
7 Min

Circular Measure and Trigonometry II.

11 Circular Measure and Trigonometry I.
9 Min

Circular Measure and Trigonometry I.

1 Descriptive statistics I.
6 Min

Descriptive statistics I.

2 Descriptive statistics II.
4 Min

Descriptive statistics II.

3 Descriptive statistics III.
5 Min

Descriptive statistics III.

4 Probability.
7 Min

Probability.

5 Elementary notions of discrete probability distributions.
9 Min

Elementary notions of discrete probability distributions.

1 Forces I.
9 Min

Forces I.

2 Dynamics I.
11 Min

Dynamics I.

3 Dynamics II.
8 Min

Dynamics II.

4 Work, Energy, Power.
8 Min

Work, Energy, Power.

Instructor

Michael Rolex

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FCFA3,500.00

  • Duration 166 Hours 40 Min

  • Lectures 23 lessons

  • Enrolled 0 students

  • Category: Form 5

  • 0 Quizzes

  • Language: English

  • Skill Level SECONDARY GRAMMAR

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