Learning Goal: Allow students to explore, reasoning, and build connections with angles formed by parallel lines cut by transversals.

Classwork

• Problems to be placed in unit or spiraling
• Lines, Transversals, and Angles (Desmos)
  • edit this activity to use geometry tool to figure out if lines are parallel. Get creative and put them in different situations to measure angles. Maybe have parallelograms as well. focus on consecutive angles a lot.
• Practice
• Go over Concept Quiz
  • Students complete analysis handout (pages 15-16) in order to qualify for retake. See retake policy and learning folders post for more details.

Standards:

• Common Core
  • 8.G.A.5 – Use informal arguments to establish facts about the angle sum and exterior angle of triangles, about the angles created when parallel lines are cut by a transversal, and the angle-angle criterion for similarity of triangles.
• TEKS
  • G.5(A) – 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.6(A) – 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 equidistance between the endpoints of a segment and points on its perpendicular bisector and apply these relationships to solve problems