MA24-04 Maths Coming soon
Solving loci problems with a single condition
MA24-04
This lesson is coming soon.
In this lesson
Construct the locus of points satisfying a single given condition and understand the term 'equidistant'.
What it covers
- The meaning of 'equidistant' (the same distance from)
- Locus = a fixed distance from a point (a circle)
- Locus = a fixed distance from a line (a pair of parallel lines with rounded ends, like a running track)
- Locus = equidistant from two points (the perpendicular bisector, reusing the construction from G-CONSTR-1)
- Locus = equidistant from two lines (the angle bisector, reusing the construction from G-CONSTR-2)
For: OCR GCSE J560, AQA GCSE 8300, Edexcel GCSE 1MA1, Eduqas GCSE C300
On the specification
| Board | Spec | Statement |
|---|---|---|
| OCR GCSE J560 | 8.02d | Apply ruler and compass constructions to construct figures and identify the loci of points, to include real-world problems. Understand the term `equidistant'. |
| AQA GCSE 8300 | G2 | Use the standard ruler and compass constructions (perpendicular bisector of a line segment, constructing a perpendicular to a given line from/at a given point, bisecting a given angle) |
| Edexcel GCSE 1MA1 | G2 | Use the standard ruler and compass constructions (perpendicular bisector of a line segment, constructing a perpendicular to a given line from/at a given point, bisecting a given angle); use these to construct given figures and solve loci problems; know that the perpendicular distance from a point to a line is the shortest distance to the line |
| Eduqas GCSE C300 | FG2 | Use the standard ruler and compass constructions (perpendicular bisector of a line segment, constructing a perpendicular to a given line from/at a given point, bisecting a given angle); use these to construct given figures and solve loci problems; know that the perpendicular distance from a point to a line is the shortest distance to the line |
| Eduqas GCSE C300 | HG2 | Use the standard ruler and compass constructions (perpendicular bisector of a line segment, constructing a perpendicular to a given line from/at a given point, bisecting a given angle); use these to construct given figures and solve loci problems; know that the perpendicular distance from a point to a line is the shortest distance to the line |
For teachers
This GCSE Maths lesson teaches solving loci problems with a single condition. By the end, students should be able to construct the locus of points satisfying a single given condition and understand the term 'equidistant'. It works through two worked examples and the mistakes examiners report.