Maths Assessment Activity: Where's the Point?
Inside, outside or on the boundary: students test points against circle and ellipse equations, then use ray casting to decide the same question for irregular polygons, including rays that touch a vertex.
- File type
- Preparation
- Print ready
- Subject
- Geometry, Maths
- Topic
- Geometry Activity, Maths Quiz
- Resource types
- Assessments
- Preparation
- Print ready
From the author
About this resource
This is a maths assessment activity titled Where's the Point. It is a timed 40-minute assessment with 7 different detailed tasks for students to complete.
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In the classroom
Teaching tips & learning objectives
Learning objectives
Decide whether a point lies inside a circle or ellipse from its equation
Use ray casting to locate a point relative to a polygon
Skills covered
Ray casting — counting boundary crossings to classify points in irregular polygons
Testing equations — substituting points into circle and ellipse equations
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Resource details
Concepts & topics
Core concepts
Core concepts
Equation of a circle
Equation of an ellipse
Point-in-polygon problem
Jordan curve theorem
Topics
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