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Horizon

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Representations of a problem-based lesson in which students investigate how far away the horizon appears when standing on a sandbar in the middle of the ocean. Using visualization and physical exploration of this natural setting, students pose questions and draw mathematical conclusions, applying the Pythagorean theorem to find unknown side lengths in right triangles and developing an understanding of circle properties such as radius and tangent lines.

Description

Representations of a problem-based lesson in which students investigate how far away the horizon appears when standing on a sandbar in the middle of the ocean. Using visualization and physical exploration of this natural setting, students pose questions and draw mathematical conclusions, applying the Pythagorean theorem to find unknown side lengths in right triangles and developing an understanding of circle properties such as radius and tangent lines.

Mathematics Domain

Geometry

Creators

Educators from New York and University of Michigan

Date Last Updated

February 2026

Lesson Formats

Storyboards

Grade Level

9 to 10

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