| Lesson Plan |
| Grade: |
Date: 25/02/2026 |
| Subject: Additional Mathematics |
| Lesson Topic: Solve simultaneous equations in two unknowns by elimination or substitution, including equations that are linear and non-linear |
Learning Objective/s:
- Describe the elimination and substitution methods for solving linear simultaneous equations.
- Apply elimination or substitution to solve linear systems of two equations.
- Analyse non‑linear simultaneous equations and select an appropriate method, including solving resulting quadratics.
- Check all obtained solutions in the original system to identify and discard extraneous roots.
- Communicate solution sets correctly using ordered‑pair notation.
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Materials Needed:
- Projector or interactive whiteboard
- Printed worksheet with linear and non‑linear systems
- Graph paper or digital graphing tool
- Scientific calculators
- Whiteboard markers and erasers
- Prepared example cards (optional)
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Introduction:
Begin with a quick visual of two intersecting lines on the board to hook students, reminding them that solving simultaneous equations finds the point of intersection. Review the concept of writing equations in standard form and state the success criteria: correctly apply elimination or substitution, solve any resulting quadratic, and verify solutions.
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Lesson Structure:
- Do‑now (5'): Students solve a simple linear system on a slip and submit their answer.
- Mini‑lecture (10'): Explain the elimination method and demonstrate with a linear example.
- Guided practice (10'): Pairs work on a similar linear system while the teacher circulates.
- Substitution method (10'): Demonstrate substitution with a second example and discuss when it is preferable.
- Non‑linear systems (10'): Introduce strategy, work through a quadratic‑linear system, and stress checking for extraneous roots.
- Collaborative problem (10'): Groups solve a product‑equation system using elimination and verify their solutions.
- Checklist & pitfalls (5'): Review the quick reference checklist and common mistakes.
- Exit ticket (5'): Students write one step they found challenging and solve a given system to demonstrate mastery.
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Conclusion:
Recap that both elimination and substitution lead to the same solution set when applied correctly and that verification prevents extraneous answers. Collect the exit tickets as a formative check. Homework: complete the worksheet with three additional linear systems and two non‑linear systems for further practice.
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