Author note — to cover (Higher)

Higher page, per the A16 braces. Find the tangent to x² + y² = r² at a given point: gradient of the radius to the point, negative reciprocal for the tangent, then the equation through the point. Depends on the perpendicular-lines page. Tangents from an external point are A level. (A16)

• Fluency — direct questions on the tangent to a circle at a point, limited to this lesson's stated scope (4 questions).
• Application — use the same skill in unfamiliar or contextual questions without introducing a later method (4 questions).
• Check — questions built around the exclusions and likely misconceptions named in the lesson brief (4 questions).