Geometry Unit 3

Big Idea:

Find distance, midpoint and angle bisectors using constructions, Euclidean geometry and Analytical geometry.

Student Expectations:

Priority TEKS

G.5(C) [Supporting] use the constructions of congruent segments, congruent angles, angle bisectors, and perpendicular bisectors to make conjectures about geometric relationships

Focus TEKS

G.2(A) [Supporting] determine the coordinates of a point that is a given fractional distance less than one from one end of a line segment to the other in one- and two-dimensional coordinate systems, including finding the midpoint

G.2(B) [Readiness] derive and use the distance, slope, and midpoint formulas to verify geometric relationships, including congruence of segments and parallelism or perpendicularity of pairs of lines

G.5(B) [Supporting] construct congruent segments, congruent angles, a segment bisector, an angle bisector, perpendicular lines, the perpendicular bisector of a line segment, and a line parallel to a given line through a point not on a line using a compass and a straightedge

Student Learning Targets:

• I will apply the segment addition postulate to find lengths of segments
• I will use the definition of midpoint to find lengths of segments.
• I will apply the Angle Addition Postulate to find angle measures.
• I will use the definition of angle bisector to find angle measures.
• I will derive the Distance Formula.
• I will use the Distance Formula to find the distance between two points on the coordinate plane.
• I will use inductive reasoning to determine the Midpoint Formula.
• I will use the Midpoint Formula to find the coordinates of the midpoint of a segment on the coordinate plane.

Essential Questions:

• Why do we have different methods for describing length & angle measure?
• How can algebra be used to verify geometric relationships on a coordinate plane?

Extra Information:

Adopted Textbook: Springboard - Geometry Texas Edition

District Grading Policy

Texas Gateway Online Resource Center