Exploring Interior Angles of Polygons Class : VIII Objective: To discover the sum of interior angles of polygons without using direct formulae. To explore and apply different triangulation techniques on various polygons. To connect geometry with real-world structures and patterns. Materials Required: Colored paper Scissors Glue Pre-printed polygon templates Project Guidelines: 1. Polygon Selection: Choose a minimum of 4 regular and 4 irregular polygons. Include both convex and concave types. Each polygon must have a unique number of sides . 2. Triangulation: Use two triangulation techniques to divide each polygon into triangles: Fixed Vertex Method : All triangles originate from a single chosen vertex. Piece-wise Method : Triangles are formed by connecting non-adjacent vertices across the polygon. Use both methods at least once among your polygons....
Each project is research-based, encouraging students to move beyond surface learning. Designed to ignite curiosity, foster independent thinking, and stimulate creativity, these tasks help reinforce academic concepts while nurturing 21st-century skills like critical thinking and problem-solving. From exploring scientific ideas and historical events to identifying mathematical patterns and interpreting literature, these projects make learning both relevant and enjoyable.