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November 2, 2010 UCHS DIFFERENTIATED INSTRUCTION: LESSON OUTLINE FOR ALGEBRA Goals CLE 3102.3.8: Solve and understand solutions of quadratic equations with real roots. CLE 3102.3.9: Understand and use exponential functions to solve contextual problems Specific Learning Objectives SPI 3102.3.11: Analyze nonlinear graphs including quadratic and exponential functions that model a contextual situation SWBAT recognize graphs or data as quadratic or exponential. SWBAT to collect and/or organize data. SWBAT convert data to appropriate graph. SWBAT analyze and summarize data from a quadratic or exponential graph. SWBAT relate word problems and real-world situations to quadratic & exponential graphs. Pre-assessment Informal assessment via background and introductory discussion & questions. Quick formal pre-test where students: Match data tables to appropriate graphs Label graphs as quadratic, exponential, or other Link to Real World Applications Stress to students the importance of problem-solving Stress to students the importance of criticalthinking Jobs using quadratics: computer techs, engineers, HR, forestry, logging, conservation, etc. Jobs using exponentials: chemists, bankers, accountants, government, computer techs, engineers, forestry, logging, conservation, etc. Group Instructional Activities Model/show examples of quadratic & exponential functions. Model graphing of functions using a data table by hand and with computer program/graphing calculator. Model creating table of data from graphs by hand and with computer program/graphing calculator. Differentiated Instruction: Menu Overview List of different activities Students choose activities based on ability level or interest: (grouped by teacher) Advanced student choose at least 4 activities Proficient student choose at least 3 activities Basic student choose at least 2 activities Below Basic student choose at least 1 activity Grades based on average of all activity grades Differentiated Instruction: Activity Menu Using data table draw graphs on graph paper. Walk-out giant example of graphs (outside, commons areas, gym, etc.) Matching exercise with contextual situations and appropriate graphs. Using graphs create data tables. Perform experiments to collect data and graph results (experiments selected by teacher). Research project where students find and explain real-world uses of quadratic and exponential functions/graphs. Strategies for Re-teaching Monitor each group. Answer questions as needed. Have groups bring completed work to teacher for immediate feedback & evaluation. Have students correct or re-work results based on feedback. Repeat feedback and re-work process as necessary. Assessment Strategies Informal assessment during initial instructional and group monitoring. Formal assessments are a culmination or average of activity grades. Have students pick the results of one activity to present to the class for final class discussion and content assessment. Closure Class discussion of group presentations Display work around room if appropriate Use tie-ins or transitions to lead into next unit