WOODLAND HILLS HIGH SCHOOL LESSON PLAN

SAS and Understanding By Design Template

Name Steven Flanders Date 9/7/12 Length of Lesson 3 Class PeriodsContent Area Calculus Edline was updated this week:

My Class website was updated this week:

STAGE I – DESIRED RESULTS
LESSON TOPIC:Limits, Continuity, and Derivatives / BIG IDEAS:
(Content standards, assessment anchors, eligible content) objectives, and skill focus)
Analysis of graphs, Limits of functions (including one-sided limits), Asymptotic and unbounded behavior, Continuity as a property of functions, Concept of the derivative, Derivative at a point, Derivative as a function, Second derivatives
2.11.11.A; 2.11.11.B; 2.11.11.C
UNDERSTANDING GOALS (CONCEPTS): Limits, Continuity, and Derivatives
Students will understand: Students will understand the concept of limits, continuity, and derivatives and understand how and when to use each separately and together. / ESSENTIAL QUESTIONS: How are limits extended to derivatives? What is the relationship between continuity and differentiability?

VOCABULARY: limit, derivative, continuous, asymptote, domain, range

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STUDENT OBJECTIVES (COMPETENCIES/OUTCOMES):

Understand and Solve limits and derivatives and relate continuity as three major supports of real-valued calculus.
Students will be able to:
The students will be able to compute the limit of any function, describe the continuity of any real-valued function and be able to calculate the derivative of any polynomial, rational, root, or composite function.
STAGE II – ASSESSMENT EVIDENCE
PERFORMANCE TASK:Students will be given graded homework assignments that are selectively chosen from a bank of practice AP questions. Students will be given a mulitple choice test and a free response test, both with questions chosen from released AP questions and/or AP review books to ensure validity of test questions. / FORMATIVE ASSESSMENTS:
#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: Choral response questions will be used to guage overall class strength and individual students will be called upon to ensure equitable learning opportunities.
STAGE III: LEARNING PLAN
INSTRUCTIONAL PROCEDURES:
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: Students will receive fill-in-the-blank notes and take notes throughout lecture while working in groups on high cognitive demand questions
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: Students will receive fill-in-the-blank notes and take notes throughout lecture while working in groups on high cognitive demand questions
Other techniques used:
Question and answer sessions will be included throughout the class period.
MINI LESSON:
Lesson will begin with a practice problem from previous lesson (approx. 5 minutes). Students will then ask questions from homework (10-15 minutes). New learning will then be presented with several examples and models (20-25 minutes). / MATERIALS AND RESOURCES:
Typed notebook, Gaphing Calculator, textbook
CONTENT AREA READING:
Textbook, Notebook, Calculator Guide / INTERVENTIONS:
Students will begin each class asking for help on any previous homework questions and one question practice quizzess will be used intermittently to guage mastery of individual concepts. / ASSIGNMENTS:
Multiple Choice and Open-Ended Homework assignments are due at the end of the chapter. Daily homework assignments are included in the notebook after each lesson.