| Lesson Plan |
| Grade: |
Date: 25/02/2026 |
| Subject: Additional Mathematics |
| Lesson Topic: Know and use simple properties and graphs of logarithmic and exponential functions, including ln x and e^x, and understand their inverse relationship and asymptotes |
Learning Objective/s:
- Describe the fundamental properties of exponential and logarithmic functions.
- Sketch and interpret the graphs of y = aˣ, y = eˣ, y = logₐ x and y = ln x, including their asymptotes.
- Apply the inverse relationship between exponentials and logarithms to solve equations.
- Use change‑of‑base and transformation rules to manipulate functions.
- Solve typical IGCSE‑style problems involving evaluation, solving, and graphing.
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Materials Needed:
- Projector or interactive whiteboard
- Graph paper and rulers
- Scientific calculators (e and ln values)
- Teacher‑prepared worksheet with property tables and practice questions
- Handout of pre‑drawn graph sketches
- Whiteboard markers
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Introduction:
Begin with a quick “Do‑now” question asking students to state one property of exponents they remember. Link this to their prior work on algebraic manipulation and explain that today they will explore how these properties translate to logarithms and graphs. Outline the success criteria: students will be able to sketch key curves, identify asymptotes, and solve exponential‑logarithmic equations.
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Lesson Structure:
- Do‑now (5') – mental recall of exponent rules; students write answers on sticky notes.
- Mini‑lecture (10') – definitions of exponential, natural exponential, logarithmic and natural logarithm; present property table on screen.
- Guided practice (15') – fill in missing entries in a property table; convert between exponential and logarithmic forms as a class.
- Graphing activity (15') – in pairs, sketch the four basic curves on graph paper, label asymptotes, and discuss the reflection about y = x.
- Equation solving workshop (10') – step‑by‑step solving of exponential and logarithmic equations; students attempt similar problems from worksheet.
- Check for understanding (5') – exit ticket: one problem requiring use of the inverse relationship.
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Conclusion:
Recap the key properties, graph shapes, and the inverse link between eˣ and ln x. Collect exit tickets to gauge mastery and assign homework: a set of mixed IGCSE questions on evaluation, transformation, and solving equations. Remind students to review the summary checklist before the next lesson.
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