Maths Standard Year 11 - Module 2 - Lesson 7
Surface Area of Prisms and Cylinders
1. Key Ideas
Unfold the solid into a net. Every face appears exactly once. Add them all — then subtract any faces that are missing.
- What surface area means and how net diagrams represent it
- Why surface area = sum of all face areas — and why a net makes every face visible
2. Success Criteria
By the end, you should be able to:
- What surface area means and how net diagrams represent it
- The SA formula for a cylinder: $\text{SA} = 2\pi r^2 + 2\pi rh$
- How to handle open or partial surface area problems
3. Key Terms
4. Activity: Build the Lesson Map
Use the lesson to complete the table. Keep answers brief but specific.
| Prompt | Your answer |
|---|---|
| Main concept | |
| Important example | |
| Common mistake to avoid | |
| How this links to the next lesson |
5. Short Answer Questions
1. Explain this lesson goal in your own words: "What surface area means and how net diagrams represent it". Use one specific example from the lesson.
2. Apply this idea to a new example: "The SA formula for a cylinder: $\text{SA} = 2\pi r^2 + 2\pi rh$". Show your reasoning clearly.
3. Analyse why this idea matters for understanding Surface Area of Prisms and Cylinders: "How to handle open or partial surface area problems".
6. Extend: Apply the Idea
A student gives a memorised answer about Surface Area of Prisms and Cylinders but does not use evidence or reasoning.
Improve the answer by writing a stronger response that uses accurate terminology, a relevant example and a clear explanation.
7. Multiple Choice
1. What is the best first step when answering a question about Surface Area of Prisms and Cylinders?
A. Identify the key concept being tested
B. Write every fact from memory
C. Ignore the command word
D. Skip examples and evidence
2. Which answer would show stronger understanding of Surface Area of Prisms and Cylinders?
A. An answer with accurate terms and reasoning
B. A copied definition only
C. A single-word response
D. An answer with no example
3. What should you do if a question asks you to explain?
A. Link the idea to a reason or cause
B. List unrelated facts
C. Only draw a diagram
D. Write the shortest possible answer
8. Success Criteria Proof
Finish with evidence that you can do each success criterion.