Math 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.
- Grades
- Grades 8–12, Middle School, High School
- File type
- Preparation
- Print ready
- Subject
- Math, Geometry
- Topic
- geometry activity, math quiz
- Resource types
- Teacher Tools, Assessments
- Preparation
- Print ready
About this resource
What's inside this resource
This is a math 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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