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Trousdale County Schools Focused Lesson Plan 2015-16 Teacher: Humes Unit Name: Geometric Proof Unit #: 5 Unit Length: 3 weeks Week: 1/5 – 1/8 Week 1 of 3 Subject: Core Math II Tennessee State Standard(s) to be taught: (Write the entire standard) G-CO.9 – Prove theorems about lines and angles. Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints. G-CO.10 – Prove theorems about triangles. Theorems include: measures of interior angles of a triangle sum to 180°; base angles of isosceles triangles are congruent; the segment joining midpoints of two sides of a triangle is parallel to the third side and half the length; the medians of a triangle meet at a point. G.SRT.5 – Use congruence and similarity criteria for triangles to solve problems and to prove relationships in geometric figures, I Can Statements : I can identify and define vertical angles, linear pairs, adjacent angles, complementary angles, and supplementary angles. I can identify angle pairs formed by a transversal crossing parallel lines. I can find the measures of angles by using theorems about lines and angles. I can prove that two lines are parallel by using theorems about angles and parallel lines. Accommodations for students, both regular and special populations : Extra practice time may be given using InteractMath technology online. One-on-one and/or peer tutoring. Re-take quizzes on which students perform poorly. Unit Vocabulary: vertical angles, adjacent angles, complementary angles, supplementary angles, linear pair, parallel lines, transversal, alternate interior/exterior angles, corresponding angles, same-side interior/exterior angles, vertical angles theorem, triangle-angle sum theorem, proof, polygon-angle sum theorem, isosceles triangle, equilateral triangle, vertex angle, base angles, legs of an isosceles triangle, congruent angles, perpendicular lines, equiangular triangle, triangle inequality theorem, angle-side relationship Resources, Technology, Formative and/or Summative Daily Agenda Assessments, Assignments, and a Daily Activity for citing text based evidence in conversations and/or writing Monday No School – PD Day Tuesday Define Angles and Angle Pairs Find Measures of Angle Pairs Notes over Parallel Lines/Transversal Practice Problems (HW) Resources: Integrated Math II Text, Practice Problems Technology: TI nSpires, MOBI Assessment: observation/questioning during student work Assignments: Angle Pairs and Parallel Lines HW 1 Wednesday Bell-ringer: Quadratic Forms Go over HW Continue Practice Problems with Angles formed by Parallel Lines and Transversals Begin Proofs (HW – 3 proofs) Thursday Bell-ringer: Literal Equations/Geometry Go over HW Continue Practice with Proofs and Angles (HW/Prep for Quiz) Friday Bell-ringer: Graph quadratic functions Go over HW Quiz - Lines and Angles Resources: Integrated Math II Text, Practice Problems Technology: TI nSpires, MOBI Assessment: homework, observation/questioning during student work Assignments: HW – 3 Proofs Resources: Integrated Math II Text, Practice Problems Technology: TI nSpires, MOBI Assessment: homework, observation/questioning during student work Assignments: Proofs and Angles HW Resources: Integrated Math II Text, Practice Problems, Quiz Technology: TI nSpires, MOBI Assessment: Quiz, homework, observation/questioning during student work Assignments: 2