Designing your garden with Loci
This full lesson on constructions and loci includes clear tutorials for every type of construction students need to know, making it ideal for introducing the topic or revisiting it for revision. Students use a compass and ruler to master essential skills including loci, perpendicular bisector, angle bisector, midpoint, perpendicular line, parallel lines, circle, radius, arc, circumference and regular hexagon constructions. Through a series of practical, garden-themed tasks, learners investigate the locus of points and design washing lines, raised flower beds, paths, ponds and summer houses while applying precise mathematical reasoning. Ideal for KS3 and GCSE Foundation, the activities build confidence in accurate drawing, problem solving and the use of geometric vocabulary. Clear, step-by-step instructions support independent learning, retrieval practice and extension opportunities, making this a versatile resource for whole-class teaching, cover lessons or homework.
Perfect for teachers looking to bring constructions to life, this resource blends creativity with rigour, helping students engage with challenging topics in a meaningful and memorable way. The themed approach encourages perseverance, precision and pride in presentation, while the scaffolded tutorials make the lesson accessible to a wide range of learners. Students steadily build their understanding and confidence in geometric constructions and loci while seeing how these skills can be applied in a realistic design context.








