Teacher: Bichler Subject: Geometry Grade Level: 9-12
5-E Model Lesson – September 23, 2009
Objectives:
WICR Strategies are used throughout the lesson.
Teacher: Bichler Subject: Geometry Grade Level: 9-12
Content
Geometric Proof (TEKS G.1A, G.3E)
The student is expected to use deductive reasoning to prove a statement
The student is expected to develop an awareness of the structure of a mathematical system, connecting definitions, postulates, logical reasoning, and theorems
TEKS: G.1A, G.7A
Language
SWBAT solve geometry problems step by step.
SWBAT solve proofs listing statements and reasons to justify the solution process
SWBAT connect definitions, theorems, postulates to deductively solve proofs
WICR Strategies are used throughout the lesson.
Teacher: Bichler Subject: Geometry Grade Level: 9-12
Vocabulary:
Modified 5-E Lesson Model 9-22-2009.doc 2 of 2
Teacher: Bichler Subject: Geometry Grade Level: 9-12
Content Specific
2 column proofs, deductive reasoning, theorem, given, prove
Related
Hypothesis, conclusion, definition, postulate, congruent, vertical angles, linear pair, complementary, supplementary, right angle, simplify, reflexive, symmetric, transitive, equality, combine like terms. Angle midpoint segment, working backwards
Modified 5-E Lesson Model 9-22-2009.doc 2 of 2
Teacher: Bichler Subject: Geometry Grade Level: 9-12
Materials:
Adapted Holt 2-6 ppt on geometric proofs, angle proofs packet w/logic puzzles, geometry proof toolbox copies, Practice B, textbooks,
Activities:
Warm-Up SW Warm up review problems on blackboard.
ENGAGE SW Watch Ma and Pa Kettle Math clip http://nimitz49.wikispaces.com/Just+for+fun
TW Teacher will ask why the Kettles could not agree upon the solution.
EXPLORE TW have students pull the GSP Exploration geometric proofs instructions from teacher website
(Optional) SW complete the GSP exploration on geometric proofs on GSP and submit using bb link.
EXPLAIN TW discuss answers provided by students in explore and correct errors and connect statements with reasons. Provide additional information through ppt slides 3-19 for note taking.
SW make corrections to proof toolbox, complete proof toolbox, and take Cornell notes
ELABORATE TW model how to solve a proof from the angle proof packet
SW solve proof with teacher and continue working on their own for 4 remaining proofs
EVALUATE
SW practice solving using proofs w/ Holt 2-6 Practice B
TW provide assistance for solving problems, and understanding assignment
Modified 5-E Lesson Model 9-22-2009.doc 2 of 2