1. Problem statement Problem: The user requests an A-level (Senior 5 and Senior 6) teaching and solution approach aligned with the Uganda education system. 2. Curriculum alignment I will align topics with the typical Uganda Advanced Certificate curriculum, focusing on core areas such as algebra, calculus, trigonometry, coordinate geometry, and mechanics. 3. Teaching approach I will use clear learning objectives, worked examples, scaffolded practice, exam-style questions, marking scheme guidance, and formative assessment to build exam readiness. 4. Example problem and full solution 4.1. State the problem Solve the quadratic equation $x^2 - 5x + 6 = 0$. 4.2. Factorization and intermediate work We look for two numbers that multiply to 6 and add to -5. These numbers are -2 and -3. Thus the quadratic factorizes as $x^2 - 5x + 6 = (x - 2)(x - 3)$. 4.3. Solve each factor Setting each factor equal to zero gives $x - 2 = 0$ and $x - 3 = 0$. So $x = 2$ and $x = 3$. 4.4. Final answer The solutions are $x = 2$ and $x = 3$. 5. Teaching notes and next steps Highlight common errors, give graded practice, suggest past papers and time management strategies for exams.