Maths Standard Year 11 - Module 2 - Lesson 3

Pythagoras' Theorem

Use this worksheet after reading the lesson to practise the key ideas and prove you can meet the success criteria.

Name

Date

Class

1. Key Ideas

Know two sides of a right-angled triangle — find the third. Every diagonal, slant height, and distance problem in this module comes back to this.

The relationship $a^2 + b^2 = c^2$ and what each pronumeral represents
Why identifying the hypotenuse correctly is the critical first step

2. Success Criteria

By the end, you should be able to:

The relationship $a^2 + b^2 = c^2$ and what each pronumeral represents
The two types of Pythagoras problems: finding the hypotenuse vs finding a shorter side
How Pythagoras applies to practical and 3D contexts

3. Key Terms

Key ideaThe central concept from Pythagoras' Theorem.

EvidenceInformation, observations or calculations used to support an answer.

ExplainGive a reasoned answer that links cause and effect.

ApplyUse a learned idea in a new example, problem or scenario.

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: "The relationship $a^2 + b^2 = c^2$ and what each pronumeral represents". Use one specific example from the lesson.

Band 32 marks

2. Apply this idea to a new example: "The two types of Pythagoras problems: finding the hypotenuse vs finding a shorter side". Show your reasoning clearly.

Band 43 marks

3. Analyse why this idea matters for understanding Pythagoras' Theorem: "How Pythagoras applies to practical and 3D contexts".

Band 54 marks

6. Extend: Apply the Idea

Band 5/65 marks

A student gives a memorised answer about Pythagoras' Theorem 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 Pythagoras' Theorem?

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 Pythagoras' Theorem?

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.

Success criterion 1

Prove that you can: The relationship $a^2 + b^2 = c^2$ and what each pronumeral represents