GIS + GPS = Illinois State Standards

Illinois Mathematics State Standard #10 - Data Analysis

STATE GOAL 10: Collect, organize and analyze data using statistical methods; predict results; and interpret uncertainty using concepts of probability.

Why This Goal Is Important: The ability to understand and interpret data (e.g., opinion polls, stock prices, tax rates, crime statistics, scientific studies, weather reports) grows more important each day. Students must be able to organize data, make sense of variables and patterns, and judge the logical reasonableness of any claims and interpretations made. Even very young students can count objects and communicate their findings with charts and graphs. Students of all ages can collect, display and interpret data to answer specific questions. They also must construct and analyze arguments that involve data and its interpretation. All students need to understand and apply the role probability plays in data collection and decision making. Data analysis and use are important abilities necessary for all careers.

Illinois Mathematics Standards covered: ( 10A, 10B & 10C)

Learning Standard	10A. Organize, describe and make predictions from existing data.
Early Elementary	10.A.1a Organize and display data using pictures, tallies, tables, charts or bar graphs
Early Elementary	10.A.1b Answer questions and make predictions based on given data.
Late Elementary	10.A.2a Organize and display data using pictures, tallies, tables, charts, bar graphs, line graphs, line plots and stem-and-leaf graphs.
Late Elementary	10.A.2b Using a data set, determine mean, median, mode and range, with and without the use of technology.
Late Elementary	10.A.2c Make predictions and decisions based on data and communicate their reasoning.
Middle & Junior High School	10.A.3a Construct, read and interpret tables, graphs (including circle graphs) and charts to organize and represent data.
Middle & Junior High School	10.A.3b Compare the mean, median, mode and range, with and without the use of technology
Middle & Junior High School	10.A.3c Test the reasonableness of an argument based on data and communicate their findings.
Early High School	10.A.4a Represent and organize data by creating lists, charts, tables, frequency distributions, graphs, scatterplots and box-plots.
Early High School	10.A.4b Analyze data using mean, median, mode, range, variance and standard deviation of a data set, with and without the use of technology.
Early High School	10.A.4c Predict from data using interpolation, extrapolation and trend lines, with and without the use of technology.
Late High School	10.A.5 Construct a statistics-based presentation, individually and as members of a team, to communicate and justify the results of a project.
Learning Standard	10B. Formulate questions, design data collection methods, gather and analyze data and communicate findings.
Early Elementary	10.B.1a Formulate questions of interest and design surveys or experiments to gather data.
Early Elementary	10.B.1b Collect, organize and describe data using pictures, tallies, tables, charts or bar graphs.
Early Elementary	10.B.1c Analyze data, draw conclusions and communicate the results
Late Elementary	10.B.2a Formulate questions of interest and select methods to systematically collect data.
Late Elementary	10.B.2b Collect, organize and display data using tables, charts, bar graphs, line graphs, circle graphs, line plots and stem-and-leaf graphs.
Late Elementary	10.B.2c Analyze the data using mean, median, mode and range, as appropriate, with or without the use of technology.
Late Elementary	10.B.2d Interpret results or make relevant decisions based on the data gathered.
Middle & Junior High School	10.B.3 Formulate questions (e.g., relationships between car age and mileage, average incomes and years of schooling), devise and conduct experiments or simulations, gather data, draw conclusions and communicate results to an audience using traditional methods and contemporary technologies.
Early High School	10.B.4 Design and execute surveys or experiments, gather data to answer relevant questions, and communicate results and conclusions to an audience using traditional methods and contemporary technology.
Late High School	10.B.5 Design a statistical experiment to answer a question about a realistic situation, conduct the experiment, use statistics to interpret the data, and communicate the results, individually and as members of a team.
Learning Standard	10C. Determine, describe and apply the probabilities of events.
Early Elementary	10.C.1a Describe the concept of probability in relationship to likelihood and chance.
Late Elementary	10.C.2a Calculate the probability of a simple event.
Late Elementary	10.C.2b Compare the likelihood of events in terms of certain, more likely, less likely or impossible.
Middle & Junior High School	10.C.3a Determine the probability and odds of events using fundamental counting principles
Early High School	10.C.4a Solve problems of chance using the principles of probability including conditional settings.
Early High School	10.C.4b Design and conduct simulations (e.g., waiting times at restaurant, probabilities of births, likelihood of game prizes), with and without the use of technology.
Late High School	10.C.5a Compute conditional probabilities and the probabilities of independent events
Late High School	10.C.5c Make predictions using probabilities associated with normally distributed events.

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