WOODLAND HILLS HIGH SCHOOL LESSON PLAN SAS and Understanding By Design Template Name Witon Date 5-21-14 Length of Lesson 1 weeks Content Area Algebra 2 Edline was updated this week: Yes My class website was updated this week: Yes STAGE I – DESIRED RESULTS LESSON TOPIC: BIG IDEAS: Series and Sequence Sigma notations M.11.D Analyze a set of data for the existence of a pattern and represent the pattern algebraically and/or graphically. UNERSTANDING GOALS (CONCEPTS): Analyze a given set of data for the existence of a pattern and represent the pattern algebraically and graphically. Use patterns, sequences and series to solve routine and nonroutine problems. Represent functional relationships in tables, charts and graphs. Determine sums of finite sequences of numbers and infinite geometric series.. ESSENTIAL QUESTIONS: How do arithmetic series apply to amphitheaters? How do geometric series apply to a bouncing ball? VOCABULARY: arithmetic sequence geometric sequence arithmetic sequence geometric series sigma notation STUDENT OBJECTIVES (COMPETENCIES/OUTCOMES): . 1) Identify arithmetic and geometric sequences and series 2) Find the nth term in a arithmetic and geometric sequence 3) Find the arithmetic and geometric means 4) Write a formula for the nth term in an arithmetic and g geometric sequence 5) Find the sums for arithmetic and geometric series 6) Use sigma notation 7) Find the sum of an infinite geometric series 8) Write repeating decimals as fractions 9) Recognize and use special sequences (Fibonacci, recursive, iterations). 10) PERFORMANCE TASK: Students will participate in class discussions, guided practice, computer work, and activities Solve real world problems using sequences and series.. OTHER EVIDENCE: Students will actively participate in class examples, discussion, classwork, whiteboards, open ended assessments, graphic organizers, exit tickets, daily warm ups, homework, Study Island and, unit tests, quizzes, and other formative assessments. Think pair share Thumbs up Portfolio STAGE III: LEARNING PLAN INSTRUCTIONAL PROCEDURES: (Active Engagement, Explicit Instruction, Metacognition, Modeling, Scaffolding) Activite Engagement Higher level thinking skills Compare comtrast Whole class response Useage note takeing modeling MATERIALS AND RESOURCES: reference PSSA Coach Glencoe Algebra 2 Text Calculators Computers Supplemental Materials Warm ups & Exit polls Guided practice and Study Island A+ Math Math Lab Truly struggling students will be referred to guidance/SAP (RTI)Small group/ flexible grouping will occur if necessary. Students will be encouraged to stay for math lab, or find help with a math teacher. ASSIGNMENTS: Open ended question Multiple choice practice worksheets enrichment Ch 11 Scaffolding Guided notes Teacher prompting Enrichment remidal work Additional materials as needed Warm up will include a spiraling review of prior knowledge to include the upcoming lesson Usage Check for understanding using warmup, homework, or formative assessment questioning to determine whether to continue as needed or do interventions as needed. model, spiral scaffolding, instruct/reteach, as needed MINI lesson” Test taking Strategies open ended Strategies proportions word backwords change diameer to radius