Math Assessment Activity: A Borderline Case
Nearest-neighbor investigation in which students draw a border between two regions from just two reference points, then refine it with perpendicular bisector constructions as more points are added.
- Grades
- Grades 8–12, Middle School, High School
- File type
- Preparation
- Print ready
- Topic
- in-class activity, math assessment
- Resource types
- Teacher Tools, Assessments
- Preparation
- Print ready
About this resource
What's inside this resource
This is a math assessment activity titled A Borderline Case inspired by Pedro Domingos. It is a timed 40-minute assessment with 6 different detailed tasks for students to complete.
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In the classroom
Teaching tips & learning objectives
Learning objectives
- Construct perpendicular bisectors between pairs of points
- Explain how the nearest-neighbor rule divides a plane into regions
Skills covered
- Geometric construction — refining a border with perpendicular bisectors as reference points are added
- Conjecturing — sketching a first border before any construction
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Resource details
Concepts & topics
Core concepts
Core concepts
- Perpendicular bisector
- Nearest-neighbor algorithm
- Machine learning
- Classification
Topics
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