GOOGLE MAPS MINI PROJECT

Students will build a triangle around a point in such a way that this point becomes the circumcenter. They must know what the circumcenter represents (center point of a triangle, where all vertices are the same distance away). After picking a city to represent their center, students will measure out 3 diff erent spots that are each the same distance from their origin. They will connect these spots to make a triangle.

PROJECT OVERVIEW

CCSS.MATH.CONTENT.HSG.C.A.3 Construct the inscribed and circumscribed circles of a triangle, and prove properties of angles for a quadrilateral inscribed in a circle.

Connect the circumcenter to the real-world. Construct a circumcenter in reverse

Intended Grade: 10th grade, Geometry CP

STANDARDS AND OBJECTIVES

• 5 classes. 2-3 days to learn material, 1 day to complete project, 1 day to present in groups

TIMELINE

There will be 3 layers of the project: Origin and Markers Polygons Radii

Students pick an origin point to represent the circumcenter

Use knowledge of radii and the definition of circumcenter to construct a triangle around this point

Connect the 3 circle-points to make the triangle

Make 2 triangles: acute and obtuse

ACTIVITIES

Graded based on whether having all components of their maps, as well as their summary of the center. They will be placed in groups, where they will present their project (on their own device) to each other in a pair-share.

Students can extend their thinking by constructing any of the other 3 special triangle centers (incenter, orthocenter, or centroid).

ASSESSMENT AND EXTENSION