Geometry Problem Solving with 2D Polygons - Intro

This math unit progresses through various skills in understanding and calculating angles within different geometric configurations. Initially, the unit introduces students to fundamental angle calculations in triangles, progressing to more complex scenarios involving isosceles triangles and extensions to other polygons. As the unit advances, emphasis shifts to external angles, triangles involving internal structures, and then to triangles interacting with outside components such as flat lines or configurations leaning from a center. Further into the unit, focus broadens to include angle problems involving rectangles with crossing lines and star patterns, stressing the role of intersecting lines within these polygons. Skills in visualizing and calculating angles in designs such as star patterns and lines intersecting or aligning with straight lines consolidate. Towards the end, the unit expands into detailed explorations of parallel lines intersected by transversals, emphasizing angle relationship concepts like corresponding and alternate interior angles in more complex configurations involving triangles and special line arrangements. The unit concludes with an exploration of angles within pentagonal star arms, leveraging all previously learned concepts to solve these advanced geometric problems.Skills you will learn include:

• Geometry problem solving
• Parallel lines
• Perpendicular lines
• Intersecting line angles
• Inside angles of triangles
• Geometry algebra