IM Geo 1.22 Practice: Now What Can You Build?

① This practice activity from Illustrative Mathematics Geometry Unit 1 Lesson 22 invites students to freely construct geometric figures using previously learned tools, exploring concepts like circumcircles and spheres. ② Core mathematical concepts include circumscribed circles, circumscribed spheres, quadratic equations, function graphs, and quadrilateral properties, emphasizing relationships and construction logic among geometric objects. ③ Construction highlights: based on the summary, the example uses a GeoGebra image object (pic1) as a background or reference, potentially combined with circles, spheres, and function graphs for open-ended creation, encouraging integration of multiple geometric commands. ④ Suitable for upper middle school or high school geometry classes, serving as a unit review or open-ended inquiry task to develop spatial reasoning and problem-solving skills.