1. **Breakdown of Method**:
- **Identify Key Concepts**: Focus on the core principles that underpin each topic. For example, in algebra, ensure students understand variables, equations, and how to manipulate them.
- **Simplify Each Step**: Break down the process into clear, manageable steps. This helps students follow along without feeling overwhelmed. For instance, when teaching quadratic equations, start with expanding brackets, move to factorizing, and then solving the equations.
- **Use Simple Language**: Explain concepts in clear, straightforward terms. Avoid jargon and use analogies or real-life examples to make abstract concepts more relatable.

2. **Demonstrate with Examples**:
- Present a fully worked example on the board. Explain each step thoroughly, ensuring students understand the logic behind each action. Use different colors or highlights to emphasize key parts of the problem and solution.

3. **Guided Practice**:
- Provide students with similar problems to the example and solve them together as a class. Gradually involve students in the process by asking guiding questions and encouraging them to take on more steps independently. Facilitate peer discussions to enhance understanding and confidence.

4. **Independent Practice**:
- Assign similar problems for students to solve on their own. Be available to help but encourage students to work through difficulties independently. Use differentiated tasks to cater to varying skill levels, offering more challenging problems to advanced students and foundational practice to those who need it.

5. **Review and Feedback**:
- Go over the answers together as a class. Discuss common mistakes and misconceptions, and provide clear, constructive feedback. Encourage students to explain their reasoning to reinforce their understanding. Use this review to identify areas where further practice or clarification is needed.

By following these steps, you can effectively teach GCSE maths to secondary school students, ensuring they understand each concept before moving on. This structured approach builds a solid mathematical foundation and fosters a supportive learning environment.