From Parallelograms to Triangles: IM 6.1.7 Practice

① This example demonstrates how to derive the area of a triangle from a parallelogram by decomposing or transforming the shape, providing a visual and hands-on approach to understanding area relationships. ② Core mathematical concepts include area formulas for parallelograms and triangles, geometric decomposition and rearrangement, the relationship between shapes with equal base and height, and foundational geometric reasoning. ③ Construction notes: Based on the construction summary, the example uses an image object (pic1), likely as a static illustration or background; in practice, GeoGebra tools such as polygon, segment, and move tools can be used to dynamically show the decomposition, but this practice focuses on student exploration and problem-solving. ④ Suitable for upper elementary or middle school students (grades 6-7) as a practice exercise to reinforce area concepts and spatial reasoning, and for teachers to create interactive lessons.