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Geometry Unit 3: Intersecting Lines and Angle Measures

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Geometry Unit 3: Intersecting Lines and Angle Measures
Unit Driving Question How do intersecting lines determine angle relationships? Essential Questions What are the differences and similarities between different angle pairs? How do we prove a statement is true about parallel lines?
Launch Task	Big Ideas for Development Lessons	Closure & Assessment
1 Lesson	2 Weeks (approximately 1 week per big idea)	1 Week
Special Angles	Click on the links below to see each Big Idea's Lesson Overview (includes links to teacher notes and student activities) Intersecting lines determine relationships among angle measures. Relationships between angles prove whether lines are parallel	Formative Assessment 1 (after Big Idea 3) Re-engagement Activity (Not Provided) Unit 3 Assessment

Big Idea 1: Intersecting lines determine relationships among angle measures.
OAS-M: G.2D.1.1, G.2D.1.2
Lessons and Additional Activities Big Idea 1 Lessons 1-4 Overview (includes links to teacher notes and student activities) Additional Collaborative Activity: Stations Activity: Properties of Angle Pairs- Students will work in collaborative groups to complete station activities providing opportunities to develop concepts and skills related to applying properties of angle pairs formed by parallel lines cut by a transversal.	Evidence of Understanding Describe the relationship between angles formed by two intersecting lines Use tools to explore and describe linear pairs and vertical angles Justify that vertical angles are congruent Use the angle addition postulate to show why supplementary angles sum to 180 Find the measure of an angle using complementary, supplementary, or vertical pairs Define corresponding angles Describe the relationships formed by two parallel lines and a transversal Define the relationships between the measures of corresponding angles, alternate interior angles, and alternate exterior angles
Big Idea 2: Relationships between angles prove whether lines are parallel.
OAS-M: G.2D.1.1
Lessons and Additional Activities Big Idea 2 Lessons 1-3 Overview (includes links to teacher notes and student activities) Additional Collaborative Activity: Stations Activity: Properties of Lines Cut by a Transversal- Students will work in collaborative groups to complete station activities providing opportunities to develop concepts and skills related to understanding the properties of the ratio of segments of parallel lines that have been cut by one or more transversals.	Evidence of Understanding Explore angle relationships formed by a transversal and a pair of parallel lines in order to prove lines are parallel Make and prove conjectures about parallel lines with a transversal Prove that two lines are parallel using congruent angle relationships (the converse statement) Apply properties of vertical angles and linear pairs to prove that two angles are congruent or supplementary Create shared definitions for corresponding, alternate interior, alternate exterior, same-side interior or same-side exterior angles (also referred to as consecutive interior or consecutive exterior angles) Find the measure of a missing angle using all types of angles.