Further Mathematics — Polar Coordinates

Exam board: Edexcel  |  Back to subjects

Board-Specific Note

Additional Pure plus two applied options (e.g. Further Mechanics, Decision).

Learning Objectives

• Convert between polar and Cartesian
• Sketch simple polar curves
• Find areas in polar form

Key Points

• x = r cosθ, y = r sinθ
• r² = x² + y²
• Area = ½∫r² dθ

Lesson Plan (50 minutes)

1. Starter (5 min): Recall prior knowledge of polar coordinates with quick questions.
2. Teaching (15 min): Work through each of the learning objectives, explaining principles step by step.
3. Key points review (5 min): Revisit the key points together, confirming understanding.
4. Worked example (10 min): Model the example question: Convert r = 2 to Cartesian. Solution: x² + y² = 4 (a circle)
5. Practice (10 min): Students attempt the practice questions independently; circulate and support.
6. Plenary (5 min): Review answers and address misconceptions.

Homework

• Convert (2, π/3) to Cartesian
• Sketch r = 2 cosθ
• Area enclosed by r = 3 from 0 to π

Assessment

Check practice answers against the model answer; use the built-in practice questions as formative assessment.