Survey
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
* Your assessment is very important for improving the workof artificial intelligence, which forms the content of this project
Golden ratio wikipedia , lookup
Perspective (graphical) wikipedia , lookup
Technical drawing wikipedia , lookup
Line (geometry) wikipedia , lookup
Reuleaux triangle wikipedia , lookup
Multilateration wikipedia , lookup
Rational trigonometry wikipedia , lookup
Trigonometric functions wikipedia , lookup
History of trigonometry wikipedia , lookup
Pythagorean theorem wikipedia , lookup
Integer triangle wikipedia , lookup
Trousdale County Schools Focused Lesson Plan 2015-16 Teacher: Clinard Unit Name: Geometric Proof Unit #: 5 Unit Length: 3 weeks Week:1/19 – 1/22 Week 2 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 find angle measures that will make lines parallel. I can find measures of interior angles of polygons. I can find the sum of the interior angles of a polygon. I can find interior angle measures and exterior angle measure of triangles. I can use theorems about isosceles and equilateral triangles to solve problems I can use triangle inequality facts to solve problems. 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 Daily Agenda Tuesday Bell-ringer: Quadratic Equations Mini Quiz over Parallel Lines/Transversal Theorems Practice Proving Lines Parallel Notes over Interior and Exterior Angles Practice Problems (HW) Resources, Technology, Formative and/or Summative Assessments, Assignments, and a Daily Activity for citing text based evidence in conversations and/or writing Resources: Integrated Math II Text, Bell-ringer, Quiz – Parallel Lines and Transversal Theorems Technology: MOBI, TI nSpires Assessment: observation/questioning during student work, quiz Assignments: Interior and Exterior Angles HW 1 Wednesday Bell-ringer: Graphing and Describing Functions Go over/check HW Continue Practice with Interior and Exterior Angles Notes/Examples over Isosceles and Equilateral Triangles Practice Problems (HW) Thursday Bell-ringer: Domain/Range and Average Rate of Change Go over/check HW Quiz – Angles in Polygons and Triangles Notes/Examples over Triangle Inequalities Practice Problems (HW) Friday Bell-ringer: Exponent Properties/Rational Exponents Go over/check HW Continue Practice with Triangle Inequalities Review Problems for Test MICA Resources: Integrated Math II Text, Bell-ringer Technology: MOBI, TI nSpires Assessment: observation/questioning during student work, homework Assignments: Isosceles and Equilateral Triangles HW Resources: Integrated Math II Text, Bell-ringer, Quiz – Angles in Polygons and Triangles Technology: MOBI, TI nSpires Assessment: observation/questioning during student work, homework, Quiz Assignments: Triangle Inequalities HW Resources: Integrated Math II Text, Bell-ringer Technology: MOBI, TI nSpires, MICA Assessment: observation/questioning during student work, homework Assignments: 2