| Lesson Plan |
| Grade: |
Date: 03/03/2026 |
| Subject: Mathematics |
| Lesson Topic: Functions: notation, domain and range, composite and inverse functions, sketching graphs |
Learning Objective/s:
- Describe function notation and clearly state domain and range.
- Determine the domain and range of algebraic functions using restriction rules.
- Construct composite functions and identify their domains.
- Find inverse functions algebraically and verify one‑to‑one status.
- Sketch accurate graphs by applying a systematic checklist (intercepts, asymptotes, critical points, concavity).
|
Materials Needed:
- Projector or interactive whiteboard
- Printed worksheet with practice problems
- Graph paper and rulers
- Scientific calculators
- Set of function cards for quick matching
- Whiteboard markers
|
Introduction:
Begin with a quick poll: “What does the notation f(x) represent?” Review prior work on linear functions and their graphs. Explain that today’s success criteria are to correctly identify domain/range, compose and invert functions, and produce accurate sketches.
|
Lesson Structure:
- Do‑Now (5’) – Short quiz on function notation and domain identification.
- Mini‑lecture (15’) – Review domain/range rules, composite function definition, and inverse process with screen examples.
- Guided practice (20’) – Pairs work on composite and inverse examples while teacher checks understanding.
- Graphing checklist demonstration (10’) – Demonstrate systematic graphing steps on a sample function.
- Independent activity (15’) – Students sketch graphs of two assigned functions, annotating domain, intercepts, asymptotes, and turning points.
- Exit ticket (5’) – Write one key step for finding an inverse and one tip for sketching a graph.
|
Conclusion:
Summarise how domain analysis, composition, and inversion underpin accurate graphing. Collect exit tickets that recap the graphing checklist. Assign homework: complete the remaining sketching problems on the worksheet and be ready to present solutions tomorrow.
|