Common Core Math - HS Geometry
Lesson Plan
Make geometric constructions
Goals / Objectives
Perform the six fundamental compass-and-straightedge constructions: copy a segment, copy an angle, bisect a segment, bisect an angle, construct a perpendicular line (including the perpendicular bisector), and construct a line parallel to a given line through an external point
Explain why each construction works by connecting the steps to properties of circles, congruent triangles, and symmetry
Distinguish between a formal geometric construction (using only compass and straightedge) and a drawing or measurement-based sketch
Use alternative construction tools and methods, including string, reflective devices, paper folding, and dynamic geometry software such as GeoGebra
Justify that each construction produces the intended result by referencing precise geometric definitions and properties
Standards
HSG.CO.D.12
HSG.CO.D.12: Make formal geometric constructions with a variety of tools and methods (compass and straightedge, string, reflective devices, paper folding, dynamic geometric software, etc.). Copying a segment; copying an angle; bisecting a segment; bisecting an angle; constructing perpendicular lines, including the perpendicular bisector of a line segment; and constructing a line parallel to a given line through a point not on the line.
Academic Vocabulary
Not in our source material
Materials
Enrichment
Accommodations
Not in our source material