Mathematics Advanced Year 11 - Module 2 - Lesson 15

Review and Connections

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

You have reached the final lesson of Module 2. This lesson brings together everything you have learned about trigonometric functions and graphs — from exact values and identities to sketching, solving, and modelling. Use this review to solidify your understanding before tackling the Module Quiz.

All six trig functions and their reciprocal relationships
How all trig ideas connect back to the unit circle

2. Success Criteria

By the end, you should be able to:

All six trig functions and their reciprocal relationships
The three Pythagorean identities
The domains, ranges, periods, and key features of all trig graphs

3. Key Terms

Periodic FunctionA function that repeats its values at regular intervals.

RadianThe natural unit for angle measure in calculus and physics.

AmplitudeThe maximum displacement from the centre line of a periodic function.

Phase ShiftA horizontal translation of a trigonometric graph.

IdentityAn equation that is true for all valid values of the variable.

Exact ValueA trig value expressed using surds and fractions, not decimals.

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: "All six trig functions and their reciprocal relationships". Use one specific example from the lesson.

Band 32 marks

2. Apply this idea to a new example: "The three Pythagorean identities". Show your reasoning clearly.

Band 43 marks

3. Analyse why this idea matters for understanding Review and Connections: "The domains, ranges, periods, and key features of all trig graphs".

Band 54 marks

6. Extend: Apply the Idea

Band 5/65 marks

A student gives a memorised answer about Review and Connections 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 Review and Connections?

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 Review and Connections?

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: All six trig functions and their reciprocal relationships