MA24-05 Maths Coming soon
Solving loci problems with combined conditions
MA24-05
This lesson is coming soon.
In this lesson
Combine two or more locus conditions into a single correctly represented region or line segment that satisfies all of them at once, including real-world placement problems.
What it covers
- Combining two or more of: circle, parallel-strip, perpendicular bisector, angle bisector loci onto one diagram
- Correctly identifying and marking the single region or line segment that satisfies ALL conditions simultaneously, not each one separately
- Real-world placement problems (e.g. where something can validly be positioned)
- Recognising when the correct final answer is a shaded AREA versus just part of a LINE
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 combined conditions. By the end, students should be able to combine two or more locus conditions into a single correctly represented region or line segment that satisfies all of them at once, including real-world placement problems. It works through two worked examples and the mistakes examiners report.