| Lesson Plan |
| Grade: |
Date: 25/02/2026 |
| Subject: Additional Mathematics |
| Lesson Topic: Know and use derivatives of standard functions x^n for rational n, sin x, cos x, tan x, e^x and ln x, including constant multiples, sums and simple composite functions using the chain rule |
Learning Objective/s:
- Apply power, constant multiple, sum, and chain rules to differentiate functions such as x^n, sin x, cos x, tan x, e^x and ln x.
- Simplify derivatives of composite functions using the chain rule.
- Identify and correct common errors when differentiating standard functions.
- Solve exam‑style problems that combine several differentiation rules.
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Materials Needed:
- Projector or interactive whiteboard
- Printed worksheet with practice questions
- Set of example cards showing derivative rules
- Graphing calculator or Desmos access
- Whiteboard markers and erasers
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Introduction:
Begin with a quick visual of a tangent line to a sine curve to spark curiosity. Review that students already know basic power and trigonometric rules from previous lessons. State that by the end of the lesson they will confidently differentiate a range of standard functions and spot typical mistakes.
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Lesson Structure:
- Do‑now (5') – short recall quiz on power, constant multiple and sum rules.
- Mini‑lecture (10') – concise review of power, trig, exponential and logarithmic derivatives with worked examples.
- Guided practice (15') – teacher models two composite‑function differentiations using the chain rule.
- Group activity (10') – students solve worksheet questions in pairs while teacher circulates.
- Check for understanding (5') – whole‑class clicker quiz highlighting common pitfalls.
- Summary & exit ticket (5') – each pupil writes one derivative they found challenging and the correct form before leaving.
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Conclusion:
Recap the key rules and how the chain rule links them together. Collect exit tickets to gauge individual understanding and address any lingering confusion. Assign homework: complete the five practice questions from the notes, focusing on clear step‑by‑step work.
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