Author note — to cover (Higher)

Higher only. Expanding single and double brackets containing surds, squaring binomials like (3 + root 2) squared, and the difference of two squares giving rational answers; exact perimeter and area contexts. Assumes the multiplying and squaring pages; conjugate rationalising builds on this next. (N8)

• Fluency — direct questions on expanding brackets with surds, 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).