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MathematicsGeometryAges 12–14

Ruler and compass constructions

Use ruler and compasses to perform standard constructions: perpendicular bisector of a line segment, perpendicular to a line from or at a given point, and bisecting an angle

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Ruler and compass constructions means practising the idea at the table with counters or paper models and one clear check. We will demo once, then your child tries.

Materials: Paper shapes or a ruler and pencil; Shape or angle name cards. 1. Say the goal of Ruler and compass constructions in plain words once. 2. Adult traces or shows one shape/angle and names a key property. 3. Child measures or classifies three shapes/angles and names a property each time. 4. Fresh check: one fresh property name. Record and stop. Done: three correct property names with a sketch or measure. Proof: parent note of examples and results. Stop: End after the fresh check; keep optional challenge for another day.

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Ruler and compass constructions practice

Practice key ideas from Ruler and compass constructions.

Free · no login · no ads · Practice answers and completion are not saved. Parent observation remains the lesson record.

Learning resources

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BBC Bitesize · Practice link — not the full lesson

KS3 Maths

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Before you open · source notes

KS3 Maths supports Ruler and compass constructions. An adult previews and guides; this is a learning page, not a scored quiz.

Free educational page, no sign-in required for the tested path.

Before you open

Ask the learner one fact they learned and one question they still have.

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Source, access and review notes

Public BBC Bitesize page. An anonymous GET on 2026-11-12 returned HTTP 200 with no login or payment prompt for this URL. Opening the link does not save practice or assess mastery. An adult should preview and guide the learner.

BBC Bitesize. “KS3 Maths.” External page; Gakuva does not copy, host, embed, or redistribute materials.

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Check understanding

  • Construct the perpendicular bisector of a line segment using compasses and a straight edge
  • Construct an angle bisector and verify by measuring both halves
  • Construct a perpendicular from a point to a line using compasses only
“If your child has only a ruler and a pair of compasses, can they construct a line that cuts another line segment exactly in half at a right angle — without using a protractor?”

Curriculum record

Type
Procedural
Subject
Mathematics
Domain
Geometry
Age range
Ages 12–14

Standards

uk-nc-2013:KS3.Maths.Geo.4