Recognize and use the symbols of formal logic, which include ~, , , and . →, ↔, Dates Standards/Essential Questions Essential Knowledge/Skills/Understanding Resources Block Standard: G.2 Key Vocabulary Essential Understanding alternate exterior angles 2 day 4 days alternate interior angles The student will use the relationships Parallel lines intersected by a transversal form consecutive (same- between angles formed by two lines angles with specific relationships. side) interior angles cut by a transversal to corresponding angles a) determine whether two are Some angle relationships may be used when exterior angle parallel; proving two lines intersected by a transversal are interior angle b) verify the parallelism, using parallel. parallel algebraic and coordinate methods as well as deductive proofs; and perpendicular The Parallel Postulate differentiates Euclidean c) solve real-world problems skew from non-Euclidean geometries such as spherical involving angles formed when transversal geometry and hyperbolic geometry. parallel lines are cut by a transversal. DOE Lesson Plans Essential Knowledge/Skills Textbook Resources Prerequisite/Extension SOL 3.1 3.4 –
Recognize and use the symbols of formal logic, which include →, ↔, ~, , , and . Dates Standards/Essential Questions Essential Knowledge/Skills/Understanding Resources Block 2 day 4 days Standard: G.2 The student will use the relationships between angles formed by two lines cut by a transversal to a) determine whether two are parallel; b) verify the parallelism, using algebraic and coordinate methods as well as deductive proofs; and c) solve real-world problems involving angles formed when parallel lines are cut by a transversal. Prerequisite/Extension SOL Essential Understanding Parallel lines intersected by a transversal form angles with specific relationships. Some angle relationships may be used when proving two lines intersected by a transversal are parallel. The Parallel Postulate differentiates Euclidean from non-Euclidean geometries such as spherical geometry and hyperbolic geometry. Essential Knowledge/Skills Key Vocabulary alternate exterior angles alternate interior angles consecutive (same- side) interior angles corresponding angles exterior angle interior angle parallel perpendicular skew transversal DOE Lesson Plans Textbook Resources 3.1 – 3.4
2014-2015_geometry_completed_pacing_guide.docx