1. November 2, 2010 UCHS

2. 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

3. 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.

4. 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

5. Link to Real World Applications  Stress to students the importance of problem-solving  Stress to students the importance of critical- thinking  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.

6. 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.

7. 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

8. 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.

9. 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.

10. 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.

11. Closure  Class discussion of group presentations  Display work around room if appropriate  Use tie-ins or transitions to lead into next unit