Date:10/3/11 / Lesson Plans
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/ Length of Lesson:10 days
Stage I – Desired Results
Lesson Topic (Standard/Anchor):
Reasoning and Proof / Big Ideas:M11.A.3.1Apply the order of operations in computation and in problem-solving situations.
M11.D.1.1 Analyze and/or use patterns or relations. / Understanding Goals (Concepts):
Identify methods of reasoning and learn to apply those methods to geometry. They make conjectures, determine the truth values of compound statements, and construct truth tables. They also analyze conditional statements and write related conditionals. The terms postulates and theorem are introduced. Algebraic properties of equality are applied to geometry, enabling students to write formal and informal proofs proving segment and angle relationships.
Student Objectives (Competencies/Outcomes):
Students will be able to:
1.Make conjectures based on inductive reasoning. Find counterexamples. [1 days]
2.Analyze statements in if-then form. Write the converse, inverse, and contra positive of if-then statements [1 – 2 day]
3.Use a table and deductive reasoning to solve a logic problem (Law of Detachment and Law of Syllogism) [1 day]
4.Use algebra to write two column proofs [1 day] / Essential Questions:
•Can you create conjectures about school rules or activities? Can you find counterexamples to those conjectures?
•What are the differences between converses, inverses, and contrapositives in conditional statements?
•How are the Laws of Detachment and Syllogism used?
•What are the parts and steps to writing an algebraic proof? / Vocabulary:Conjecture, inductive reasoning, counterexample, conditional statement, if-then statement, hypothesis, conclusion, related conditionals, converse, inverse, contrapositive, logically equivalent, deductive reasoning, Law of Detachment, Law of Syllogism, deductive argument, two-column proof, and formal proof
Stage II – Assessment Evidence
Performance Task:Students will actively participate in class examples, discussion, and group work. / Other Evidence:homework, quizzes, tests
Stage III – Learning Plan
Materials & Resources:Glencoe Geometry textbook, Geometry Unit 1 booklet
CONTENT AREA READING: Glencoe Geometry textbook / Formative Assessment(s):
#1. Choose assessments:Graphic OrganizersExit TicketsSummarizing Main IdeasPre-AssessmentOpen Ended QuestionsThink-Pair-ShareThumbs UpResponse CardsBrief in Class Writing PrompPortfolios
#2. Choose assessments:Graphic OrganizersExit TicketsSummarizing Main IdeasPre-AssessmentOpen Ended QuestionsThink-Pair-ShareThumbs UpResponse CardsBrief in Class Writing PrompPortfolios
#3. Choose assessments:Graphic OrganizersExit TicketsSummarizing Main IdeasPre-AssessmentOpen Ended QuestionsThink-Pair-ShareThumbs UpResponse CardsBrief in Class Writing PrompPortfolios
Others:
Instructional Procedures*: (includes mini-lessons)
Active Engagements used:
#1. Choose Active EngagementsNote-TakingGraphic OrganizersSummarizingHigher Level Thinking SkillsCooperative EducationPartneringWhole Class ResponseThink-Pair-ShareCompare & ContrastRandom Reporter
#2. Choose Active EngagementsNote-TakingGraphic OrganizersSummarizingHigher Level Thinking SkillsCooperative EducationPartneringWhole Class ResponseThink-Pair-ShareCompare & ContrastRandom Reporter
Others:
Describe usage: / Scaffolding used:
#1. Choose Technique:Graphic OrganizersGuided NotesBuild VocabularyBuild on Prior KnowledgeChunkingProvide Visual SupportTeacher PrompingK-W-L
#2 . Choose Technique:Graphic OrganizersGuided NotesBuild VocabularyBuild on Prior KnowledgeChunkingProvide Visual SupportTeacher PrompingK-W-L
Others:
Describe usage:
Procedures / Monday / Tuesday / Wednesday / Thursday / Friday
Date / Day / Date / Day / Date / Day / Date / Day / Date / Day
- Emergency lesson plans. Ms. Lesh was out sick.
- Use algebra to write two-colum proofs.
- Use properties of equality in geometric proofs. (2-6)
- Use algebra to write two-column proofs.
- Use properties of equality in geometric proofs. (2-6)
- Review for the Unit 2 Test.
- Complete the Unit 2 Test.
Assignments /
- Warm up: 2008-2009 PSSA Sampler
- Guided notes: booklet pp. 30-31
- Exit slip: Conjectures, distance, midpoint, conditional statements handout
- Homework:Text p. 97 #2-10, 24-29
- Warm up: 2008-2009 PSSA Sampler
- Guided notes: booklet pp. 33-34
- Exit slip: Two-column proof handout
- Homework: Text p. 97 #14-19, 30, 31, 37, 38
- Warm up: Unit 2 Review #1-5
- Partner work: Unit 2 Review #6-39
- Discuss answers to review
- Homework: Review for test via online resources
- Warm up: Teacher-made review warm up
- Q & A Session
- Test
- Homework: Complete extra credit or make up work
* Include Active Engagement, Explicit Instruction, Metacognition, Modeling, & Scaffolding