What variables limit or promote the continuation of a trend? This power point is adapted from “Track the Trends”: anIndex/TrackTheTrends/

 Collect and analyze statistical information about a topic over time.  Use the past to predict the future.  Integrate mathematics, social studies, and technology.

 Students work in pairs to research trends from the past and using them to make predictions about the future.  Students use data to find a regression equation that represents the trend.  Students create a product, such as a power point presentation, brochure, newsletter, wiki (or other) that includes brief articles and graphs about possible effects and implications of the trend.  Students review Project Rubric and Checklists to self-assess your work as you go.  Conferences to check on progress will be scheduled.

 Research topics of interest and choose three so we can guarantee there is no overlap with other groups.  Some examples include: Cancer rates Population changes Baseball salaries AIDS deaths Crime and crime rates Live Births/Deaths Divorces Education Energy consumption Gold reserves of central banks and governments Gross national product (GNP) Health expenditures Marriages Natural disasters Pollution

 Use the Internet and library for research. United States Census Bureau Collection of statistics covering a variety of topics World Health Organization Statistics on health issues around the world  Use data from at least seven separate years or time periods.

 Use a graphing calculator to: ◦ Find the equation for curve of best fit (linear, quadratic, or exponential regression) ◦ Find the correlation coefficient.  Use the equation to make predictions for at least five future years or time periods.

 Use the future predictions, brainstorm potential ramifications.  How might a trend affect people’s choices?  What will our quality of life be like in the future? ◦ Social ◦ Environmental ◦ Economic ◦ Political ◦ Medical

 Make a spreadsheet with three columns: ◦ Column 1 = Year ◦ Column 2 = Historical Data ◦ Column 3 = Data if using formula (best fit)  Create “xy Scatter” graph of spreadsheet ◦ Historical Data (points) ◦ Formula Calculations (best fit line)

 Include the following elements: ◦ Data from research ◦ Mathematical analysis ◦ Excel graph of historical vs. best fit data ◦ Discussion of future implications ◦ Pictures/graphics/sounds that enhance content ◦ Select internet resources for more info ◦ Sources cited  Self-Assess with checklist and rubric

 All documents will be turned in to me electronically.  Each pair will present their findings to the entire class.  Presentations must be between 4 and 6 minutes.

 Already Know: Scatterplots Positive and Negative Trends Use of Internet to do Research  Areas of Concern: Types of Regression Calculator Usage Use of Spreadsheet Software

 Common Core Algebra Standards: Interpret functions that arise in applications in terms of context. Emphasize selection of appropriate models F.IF. 4,5 Analyze functions using different representations. Focus on using key features to guide selection of appropriate type of model function F.IF. 7c, 8b Build a function that models a relationship between two quantities. (+)F.BF.1c Build new functions from existing functions. (+) F. BF. 4b, 4c, 4d, 5 Construct and compare linear, quadratic, and exponential models and solve problems. Logarithmic as solutions for exponentials F.LE.4

 Social Studies Skills for the 21 st Century: Analyze and draw conclusions about the location of places, the condition at places and the connections between places. Trace and describe continuity and change across cultures. Analyze, interpret, and synthesize social studies information to make inferences and draw conclusions.