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Big Idea:
Big Idea:
Use Euclidean and Algebraic reasoning to explore practical applications of geometric figures including parallel and perpendicular lines
Student Expectations:
Student Expectations:
Priority TEKS
Priority TEKS
G.6(A) [Readiness] verify theorems about angles formed by the intersection of lines and line segments, including vertical angles, and angles formed by parallel lines cut by a transversal and prove equidistant between the endpoints of a segment and points on its perpendicular bisector and apply these relationships to solve problems
Focus TEKS
Focus TEKS
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.2(C) [Readiness] determine an equation of a line parallel or perpendicular to a given line that passes through a given point
G.5(A) [Readiness] investigate patterns to make conjectures about geometric relationships, including angles formed by parallel lines cut by a transversal, criteria required for triangle congruence, special segments of triangles, diagonals of quadrilaterals, interior and exterior angles of polygons, and special segments and angles of circles choosing from a variety of tools
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
G.5(C) [Supporting] use the constructions of congruent segments, congruent angles, angle bisectors, and perpendicular bisectors to make conjectures about geometric relationships
Student Learning Targets:
Student Learning Targets:
- I will complete two-column proofs to prove theorems above segments and angles
- I will make conjectures about the angles formed by a pair of parallel lines and transversals
- I will derive the slope formulas
- I will determine whether lines and parallel, perpendicular or neither
- I will write the equation of a line that is parallel to a given line
- I will write the equation of a line that is perpendicular to a given line
Essential Questions:
Essential Questions:
- How do the properties of parallel and perpendicular lines help me understand the structures of the world around me?
Extra Information:
Extra Information:
Adopted Textbook: Springboard - Geometry Texas Edition
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