WOODLAND HILLS HIGH SCHOOL LESSON PLAN SAS and Understanding By Design Template Name Witon Date 5- 25-15 Length of Lesson 1 weeks Content Area Honors Algebra 1 Edline was updated this week: Yes My class website was updated this week: Yes STAGE I – DESIRED RESULTS LESSON TOPIC: BIG IDEAS: Sequence and patterns Keystones 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, DO NOW will include a spiraling review of prior knowledge as well as the upcoming lesson. We will use Collins writing 1 and 2 daily Mini Lesson: MATERIALS AND RESOURCES: reference PSSA Coach Glencoe Algebra 1 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 Mini lessons will vary daily based upon student needs and informal assessments. We will use Active Engagement and Scaffolding within each lesson. MINI LESSON: Patterns Evaluate Guided Practice: Note Taking, Modeling, Whole Class Response, Partnering, Higher Level Thinking Skills Guided Notes, Chunking, Build on prior Knowledge, Teacher Prompting, Visual Support Independence Practice: Check for understanding using practice pages and text as well as school/SAS developed activities. Summative/Formative Assessments: Quizzes as needed for understanding. Unit test is summative as well as cumulative for constant knowledge retention. Students will actively participate in class examples, discussion, class work, whiteboards, open ended assessments, graphic organizers, exit tickets, daily warm ups, homework, Study Island and, unit tests, quizzes, and other formative assessments. Reflections: Check for understanding using do now, homework, or formative assessment questioning to determine whether to continue as needed or do interventions as needed. (Model, spiral scaffolding, instruct/reteach as needed) Teacher reflection Enrichment remidal work Additional materials as needed