Essential Question: How can we use constructions to verify shapes and the relationships between the various parts of these shapes? Unit Rationale: Constructions expand our understanding of the properties of geometric shapes and the relationships between the various parts of these shapes. As a result of this unit, students will be able to construct:
Vocabulary: · Construction · Compass · Straightedge · Perpendicular Bisector · Median · Mid-Segment · Altitude · Points of Concurrency · Centroid Standards: Standards will be assessed on both the state and classroom levels, however, standards with an asterisk (*) in the code will count for graduation requirements. Focus Standards: G.2.C Explain and perform basic compass and straightedge constructions related to parallel and perpendicular lines. Supporting Standards: *G.3.A Know, explain, and apply basic postulates and theorems about triangles and the special lines, line segments, and rays associated with a triangle. G.3.I Explain and perform constructions related to a circle. *G.4.C Verify and apply properties of triangles and quadrilaterals in the coordinate plane. *G.4.B Determine the coordinates of a point that is described geometrically. Reasoning, Problem Solving, and Communication Standards: G.7.D Generalize a solution strategy for a single problem to a class of related problems, and apply a strategy for a class of related problems to solve specific problems. G.7.H Use inductive reasoning to make conjectures, and use deductive reasoning to prove or disprove conjectures. |