SS3 Third Term Further Mathematics Lesson Note and Scheme of Work

Week 1-3: Further Statistics – Hypothesis Testing

Lesson Note:

Introduce hypothesis testing concepts.

Explore null and alternative hypotheses.

Perform hypothesis tests on means and proportions.

Scheme of Work:

One-sample and two-sample t-tests.

Chi-square tests.

Type I and Type II errors.

Week 4-6: Further Vectors

Lesson Note:

Review vector operations.

Introduce vector equations of lines and planes.

Solve problems involving vector calculus.

Scheme of Work:

Vector equations of lines and planes.

Differentiation and integration of vector functions.

Applications in physics and engineering.

Week 7-9: Further Complex Numbers – De Moivre’s Theorem

Lesson Note:

Introduce De Moivre’s Theorem.

Explore polar form of complex numbers.

Solve problems involving trigonometric identities.

Scheme of Work:

De Moivre’s Theorem.

Polar form and exponential form of complex numbers.

Applications in solving equations.

Week 10-12: Further Calculus – Differential Equations

Lesson Note:

Introduce differential equations.

Solve first-order and second-order differential equations.

Discuss applications of differential equations.

Scheme of Work:

Separation of variables.

Homogeneous and non-homogeneous equations.

Applications in science and engineering.

Week 13: School Dismissal Week (Third Term)

Activities:

Provide comprehensive feedback on the third-term examinations.

Discuss overall performance.

Conduct final discussions and reflections.

Issue final report cards.

Prepare students for the next academic level.