Date:10/24/11 / Lesson Plans
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/ Length of Lesson:11 days
Stage I – Desired Results
Lesson Topic (Standard/Anchor):Parallel and Perpendicular Lines / Big Ideas:M11.C.3.1 Solve problems using analytic geometry.
M11.D.3.2Compute and/or use the slope of a line. / Understanding Goals (Concepts):
2.9.11.GSolve problems using analytic geometry.
2.8.11.JDemonstrate the connection between algebraic equations and inequalities and the geometry of relations in the coordinate plane.
2.8.11.LWrite the equation of a line when given the graph of the line, two points on the line, or the slope of the line and a point on the line.
Student Objectives (Competencies/Outcomes):
Students will be able to:
1.Identify the relationships between two lines or two planes [1 day]
2.Name angles formed by a pair of lines and a transversal [1 day]
3.Use the properties of parallel lines to determine congruent angles [1 day]
4.Use algebra to find angle measures [1 day]
5.Recognize angle conditions that occur with parallel lines. [1 day]
6.Prove that two lines are parallel based on a given angle relationships [1 day]
7.Find the distance between a point and a line [1 day]
8.Find the distance between parallel lines [1 day]
9.Use a graphing calculator to determine the points of intersection of a transversal and two parallel lines [1 day, review/test 2 days] / Essential Questions:
1. How can you tell if two lines are parallel, perpendicular, or neither?
2. What are the possible relationships bewteen two planes or two lines?
3. How do you find the distance between a point and a line?
4. How can you use a graphing calculator to determine the points of intersection of a transversal and two parallel lines? / Vocabulary:alternate exterior angles, alternate interior angles, consecutive interior angles, corresponding angles, equidistant, parallel, point-slope form, rate of change, skew lines, slope, slope-intercept form, transversal
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
- Prove that two lines are parallel based on given angle relationships.
- Review for tomorrow's Unit Test.
- Complete the Unit 3 Test.
- SW write proofs.
- SW write proofs.
Assignments /
- Warm up: PSSA released items
- Discuss homework
- Partner quiz
- Review special angle pairs
- Independent (pair) Practice: 3-5 Skills Practice wkst (skip #8)
- Homework: Text p. 172 #1-9
- Warm up: PSSA released items
- Discuss homework
- Unit 3 Review
- Revisit Unit 3 Vocabulary Sheet
- Homework: Study for the Unit 3 Test
- Warm up: Test review warm up
- Unit 3 Test
- Unit 4 Vocabulary
- Homework: Text p. 177 #1-14
- Warm up: PSSA released items
- Intro to Proofs
- Homework: TBA
- Warm up:PSSA relased items.
- Proofs continued
- Homework: TBA
* Include Active Engagement, Explicit Instruction, Metacognition, Modeling, & Scaffolding