Locus of a Point — Interactive Lesson (Ages 14–16)

Where could the third oil rig be? This 22-slide interactive lesson teaches the locus of a point through clear constructions and real-life problems.

Mastering the Locus of a Point at GCSE

Students learn to find and construct the locus of a point equidistant from two given points, the midpoint and perpendicular bisector of a line segment, the perpendicular from a point to a line, and the bisector of an angle. They see that the locus of a point a fixed distance from a fixed point is a circle, and that a point 3 cm from a line traces a pair of parallel lines with semicircular ends. Problems include two oil rigs and a stadium that must be within 12 km of one town and 8 km of another.

What’s Included

• 22-slide interactive lesson on the locus of a point
• Learning objectives on loci and the key constructions
• Worked examples for a fixed point, a fixed line and two points
• Real-life problems on oil rigs and a stadium, with a scale
• A plenary exercise of constructions to complete in a book

Key Benefits for Students

• Builds accurate construction skills
• Connects each locus rule to a picture
• Applies loci to real-life scale problems
• Clear worked steps to follow

Why Teachers Love It

• No prep — ready for whole-class teaching on an interactive whiteboard
• Worked examples model each construction
• Includes a practice exercise for students to complete on paper
• Suits teaching, revision and homework
• Pairs well with real compasses and rulers

Love this? You’ll love…

• Constructing and Bisecting Angles — Interactive Lesson (Ages 14–16)
• Pythagoras Theorem — Interactive Lesson (Ages 14–16)
• Circle Theorem: Cyclic Quadrilaterals — Interactive Lesson (Ages 14–16)

A dependable addition to a GCSE geometry unit, giving students the constructions they need to answer loci questions accurately. Loci problems reward careful method, so practice pays off in the exam.

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FAQ

What year group is this for? Years 10–11 (ages 14–16), GCSE.

What equipment do students need? A ruler and a pair of compasses.

Does it cover angle bisectors? Yes — the locus equidistant from two lines is the angle bisector.