Constructions Maths Lessons & Worksheets (KS3, GCSE & IGCSE)

Curriculum Hub → Maths Lessons → Geometry → Constructions

This page brings together ready-to-teach constructions maths lessons for Key Stage 3 and GCSE / IGCSE. Browse the full collection, including angle and perpendicular bisectors, triangle constructions, bearings and scale drawing, angles of elevation and depression, and loci with equidistant paths and regions, with each lesson designed to support clear modelling, independent practice and exam preparation.

  • Ready-to-teach constructions lessons
  • Presentations, worksheets and structured practice
  • Key Stage 3 and GCSE / IGCSE coverage
  • Scheme of work links for curriculum planning

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Save planning time with complete constructions lesson packs ready to use straight away. Mr Mathematics membership unlocks downloadable PowerPoint presentations, printable worksheets, structured practice and exam-style questions for this topic and the wider lesson library.

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Use the sections below to jump straight to Key Stage 3 or GCSE / IGCSE constructions lessons.
Each resource is designed to reduce planning time and support student progression.

Jump to:  Key Stage 3 Constructions  |  GCSE / IGCSE Constructions

Constructions: Key Stage 3

These Key Stage 3 constructions lessons develop accuracy with compasses and ruler work alongside scale drawing and basic trigonometric diagrams in context. Topics include:

  • Bisecting an angle using compasses and a ruler
  • Scale drawings of bearings: interpreting and using bearings in measured diagrams
  • Constructing triangles using compasses and protractors, including SSS, SAS and ASA cases
  • Angles of elevation and depression in scale drawings and geometric figures
  • Perpendicular bisectors and equidistant paths between two points

Used in:

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Ages 11 - 13

Angles of Elevation and Depression

Ages 11 - 13

Bisecting an Angle

Ages 11 - 13

Constructing Triangles using Compasses and Protractors

Ages 11 - 13

Perpendicular Bisectors and Equidistant Paths

Ages 11 - 13

Scale Drawings of Bearings

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Give multiple teachers access to the same ready-to-teach resources, support consistent lesson sequencing across classes and reduce duplicated planning across the department. School membership is ideal for teams who want shared access to lessons, worksheets and practice across KS3, GCSE, IGCSE and A-Level.

Constructions: GCSE / IGCSE

These GCSE / IGCSE constructions lessons focus on standard ruler-and-compasses methods, formal triangle constructions and loci problems set in context. Topics include:

  • Constructing loci and equidistant paths using angle and perpendicular bisectors
  • Constructions with three known sides (SSS)
  • Constructions with two sides and the included angle (SAS)
  • Constructions with two angles and the included side (ASA)
  • Constructing angle bisectors for acute and obtuse angles, and related perpendicular bisector work
  • Constructing loci and regions from distances to points and lines in scale drawings

Used in:

Preview the collection below. Membership unlocks the downloadable PowerPoint presentations, worksheets and full lesson resources for every product.

Ages 14 - 16

Constructing Angle Bisectors

Ages 14 - 16

Constructing Loci and Equidistant Paths

Ages 14 - 16

Constructing Loci and Regions

Ages 14 - 16

Constructions Angle, Side, Angle

Ages 14 - 16

Constructions Side, Angle, Side

Ages 14 - 16

Constructions Side, Side, Side

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