Unit 1 - Tools of Geometry

Description of Unit:  This topic introduces students to various topics in the study of geometry.  Students will define basic geometric figures; use visual representations to show undefined terms such as point, line and plane; be introduced to postulates; measure segments with and without a coordinate grid; use the midpoint and distance formulas; and use protractors to measure angles.

Key Vocabulary:  acute angles, adjacent angles, angle bisector, collinear points, complementary angles, congruent angles, congruent segments, coplanar, line, linear pair, obtuse angle, opposite rays, perpendicular bisector, perpendicular lines, plane, point, postulate, ray, right angle, segment, segment bisector, straight angles, supplementary angles, vertex of an angle, vertical angles.

Common Core Content Standards:

G-CO.A.1 Know precise definitions of angle, circle, perpendicular line, parallel line, and line segment, based on the undefined notions of point, line, distance along a line, and distance around a circular arc.

G-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.

G-GPE.B.6. Find the point on a directed line segment between two given points that partitions the segment in a given ratio.

N-Q.A.1 Reason quantitatively and use units to solve problems.