III. Data Analysis and Statistics

 

  1. Collection, Orgnization, and Presentation of Data
  2. Description and Interpretation
  3. Inference and Prediction

 

Additional Links to General Mathematics Sites

 

2. Description and Interpretation

Middle School

  1. Benchmark 1. "Critically read data from tables, charts or graphs and explain the source of the data and what the data represent."
    1. A Functional Housing Market - Description and Interpretation (III.2.MS.1,2,3,&4)
      Students will access the Internet to search for housing prices in their town and compare the prices to the number of square feet found in the living area of the house. A linear equation will be derived from the data on a coordinate plane. Any "best-fit" method for determining the graph of the line can be used. This contains a teacher lesson plan and is a student activity. This is designed for an Algebra One course.
    2. Adventures in Statistics - Description and Interpretation (III.2.MS.1,2,3&4)
      Students need to collect information about the classroom in their building (example: length, width, height and number of students in the different classrooms). After collecting all the data the students then need to construct graphs representing this data. This contains a teacher lesson plan and is a student activity.
    3. Graphs and Stories - Description and Interpretation (III.2.MS.1&3)
      This site is about graph interpretation - the skill of putting a story to a graph. Students select from five activities that show a graph and students must determine what is happening in each graph to change the data. Questions are asked that have students identify specific points in the graph that are evidence of events in the story.
    4. Houston Area Real-Time Traffic Report - Description and Interpretation (III.2.MS.1,2,3&4)
      Students will calculate the time needed to travel a certain distance given the rate of speed. They will be collecting "real-time traffic maps of the Houston area. Upon collecting their information they will construct graphs. This contains a teacher lesson plan and is a student activity.
    5. Indy 500 - Description and Interpretation (III.2.MS.1,2&3)
      Students will find the mean and median speed for the Indianapolis 500. Rates per lap will be calculated as well as the length of each lap. Students will need to research information via the Internet. This would work best for students in grades 7-9.
    6. Line Graphs - Description and Interpretation (III.2.MS.1&2)
      This activity is part of Project SkyMath: Module Section 4, Activity 11. In this activity students interpret collected data represented on graphs. This student activity requires students to represent and analyze changes in temperatue over time.
    7. Math Files - Data Picking - Description and Interpretation (III.2.MS.2)
      This is an interactive game where students need to survey a group of students (on the computer) and then enter their results in a frequency table or chart. Then, after the computer graphs these results, the student is asked to examine the graphs and decide which graph best represents the data. Circle graphs and scattergrams are included.
    8. Name that Medium - Description and Interpretation (III.2.MS.1,2&3)
      Information is given in a chart on cassette and CD sales the past decade.  The students are to make a double line graph, predictions, figure costs by year and draw conclusions based on other factors or questions being presented.
    9. New Kids in The Hall: Analyzing Baseball Hall of Fame Statistics in the Math Classroom - Description and Interpretation (III.2.MS.1,2,3,4&5)
      In this activity, students see how statistics are used to determine which athletes are chosen to be inducted into the Baseball Hall of Fame. Students work in small groups to calculate, chart, and graph various statistics for different Hall of Fame members. After reading an article about new inductees to the Hall of Fame students collect data on the statistics used to recommend atheletes for the Hall of Fame and predict which athletes would be good choices to be inducted in the future.
    10. Surfing Amusement Parks - Description and Interpretation (III.2.MS.1,2,3&4)
      Students have a choice of going to any one of five amusement parks in California. They have to choose one with an entrance fee that is the median price range. Surf the Internet to find how much it will cost for your family to go to each park and then graph your findings. This contains a teacher lesson plan and is a student activity.
    11. What Percentage of Your Class is Right or Left Handed? - Description and Interpretation (III.2.MS.1,2,3&4)
      Students will write letters down for 20 seconds with their right hand and then do the same for their left. And record the results in a graph form. This is a student activity.
  2. Benchmark 2. "Describe the shape of a data distribution and identify the center, the spread, correlations and any outliers."
    1. A Functional Housing Market - Description and Interpretation (III.2.MS.1,2,3,&4)
      Students will access the Internet to search for housing prices in their town and compare the prices to the number of square feet found in the living area of the house. A linear equation will be derived from the data on a coordinate plane. Any "best-fit" method for determining the graph of the line can be used. This contains a teacher lesson plan and is a student activity. This is designed for an Algebra One course.
    2. Adventures in Statistics - Description and Interpretation (III.2.MS.1,2,3&4)
      Students need to collect information about the classroom in their building (example: length, width, height and number of students in the different classrooms). After collecting all the data the students then need to construct graphs representing this data. This contains a teacher lesson plan and is a student activity.
    3. Houston Area Real-Time Traffic Report - Description and Interpretation (III.2.MS.1,2,3&4)
      Students will calculate the time needed to travel a certain distance given the rate of speed. They will be collecting "real-time traffic maps of the Houston area. Upon collecting their information they will construct graphs. This contains a teacher lesson plan and is a student activity.
    4. Indy 500 - Description and Interpretation (III.2.MS.1,2&3)
      Students will find the mean and median speed for the Indianapolis 500. Rates per lap will be calculated as well as the length of each lap. Students will need to research information via the Internet. This would work best for students in grades 7-9.
    5. Line Graphs - Description and Interpretation (III.2.MS.1&2)
      This activity is part of Project SkyMath: Module Section 4, Activity 11. In this activity students interpret collected data represented on graphs. This student activity requires students to represent and analyze changes in temperatue over time.
    6. Math Files - Train Race - Description and Interpretation (III.2.MS.2)
      This is an interactive game where students need to calculate the mean, median, mode, and range of a set of numbers and then use this information to determine which train Pythagoras or Hypatia should board to reach the station on time. An on-screen calculator is provided for students to calculate means.
    7. Name that Medium - Description and Interpretation (III.2.MS.1,2&3)
      Information is given in a chart on cassette and CD sales the past decade.  The students are to make a double line graph, predictions, figure costs by year and draw conclusions based on other factors or questions being presented.
    8. NSCDiscovery - Description and Interpretation (III.2.MS.2&3)
      This lesson uses a real world situation to explore data collection and analysis. Students are asked to consider whether height restrictions in the military affect the numbers of men and women who are allowed to enlist. Students gather data about the class, create a graph to display data, and analyze the data to answer questions.
    9. New Kids in The Hall: Analyzing Baseball Hall of Fame Statistics in the Math Classroom - Description and Interpretation (III.2.MS.1,2,3,4&5)
      In this activity, students see how statistics are used to determine which athletes are chosen to be inducted into the Baseball Hall of Fame. Students work in small groups to calculate, chart, and graph various statistics for different Hall of Fame members. After reading an article about new inductees to the Hall of Fame students collect data on the statistics used to recommend atheletes for the Hall of Fame and predict which athletes would be good choices to be inducted in the future.
    10. Stem and Leaf Plots - Position (III.2.MS.2)
      Stem and leaf plots explained.
    11. Stem and Leaf Plots Interactive - Position (III.2.MS.2)
      Stem and Leaf Plots Interactive site.
    12. Stem and Leaf Plots - Position (III.2.MS.2)
      Stem and Leaf Plots.
    13. Surfing Amusement Parks - Description and Interpretation (III.2.MS.1,2,3&4)
      Students have a choice of going to any one of five amusement parks in California. They have to choose one with an entrance fee that is the median price range. Surf the Internet to find how much it will cost for your family to go to each park and then graph your findings. This contains a teacher lesson plan and is a student activity.
    14. Virtual Manipulative Box Plot - Description and Interpretation (III.2.MS.2)
      Box and Whiskers Plot-interactive.
    15. What Percentage of Your Class is Right or Left Handed? - Description and Interpretation (III.2.MS.1,2,3&4)
      Students will write letters down for 20 seconds with their right hand and then do the same for their left. And record the results in a graph form. This is a student activity.
  3. Benchmark 3. "Draw, explain and justify conclusions based on data."
    1. A Functional Housing Market - Description and Interpretation (III.2.MS.1,2,3,&4)
      Students will access the Internet to search for housing prices in their town and compare the prices to the number of square feet found in the living area of the house. A linear equation will be derived from the data on a coordinate plane. Any "best-fit" method for determining the graph of the line can be used. This contains a teacher lesson plan and is a student activity. This is designed for an Algebra One course.
    2. Adventures in Statistics - Description and Interpretation (III.2.MS.1,2,3&4)
      Students need to collect information about the classroom in their building (example: length, width, height and number of students in the different classrooms). After collecting all the data the students then need to construct graphs representing this data. This contains a teacher lesson plan and is a student activity.
    3. Get Smarter: Celebrity Math Quiz - Description and Interpretation (III.2.MS.3)
      This site is a quick assessment quiz that has students answer questions from data provided on a variety of charts, graphs, and tables. Students receive immediate feedback. Probably most useful as a supplement for students while working on data interpretation.
    4. Graphs and Stories - Description and Interpretation (III.2.MS.1&3)
      This site is about graph interpretation - the skill of putting a story to a graph. Students select from five activities that show a graph and students must determine what is happening in each graph to change the data. Questions are asked that have students identify specific points in the graph that are evidence of events in the story.
    5. Houston Area Real-Time Traffic Report - Description and Interpretation (III.2.MS.1,2,3&4)
      Students will calculate the time needed to travel a certain distance given the rate of speed. They will be collecting "real-time traffic maps of the Houston area. Upon collecting their information they will construct graphs. This contains a teacher lesson plan and is a student activity.
    6. Indy 500 - Description and Interpretation (III.2.MS.1,2&3)
      Students will find the mean and median speed for the Indianapolis 500. Rates per lap will be calculated as well as the length of each lap. Students will need to research information via the Internet. This would work best for students in grades 7-9.
    7. Is It Fair - Description and Interpretation (III.2.MS.3)
      Using a standard six-sided die students play a game using the rules provided to earn points. After playing the game and recording the data and scores, students determine whether the game is fair. Their decisions are based on the interpretation of the data they have collected.
    8. Name that Medium - Description and Interpretation (III.2.MS.1,2&3)
      Information is given in a chart on cassette and CD sales the past decade.  The students are to make a double line graph, predictions, figure costs by year and draw conclusions based on other factors or questions being presented.
    9. NSCDiscovery - Description and Interpretation (III.2.MS.2&3)
      This lesson uses a real world situation to explore data collection and analysis. Students are asked to consider whether height restrictions in the military affect the numbers of men and women who are allowed to enlist. Students gather data about the class, create a graph to display data, and analyze the data to answer questions.
    10. New Kids in The Hall: Analyzing Baseball Hall of Fame Statistics in the Math Classroom - Description and Interpretation (III.2.MS.1,2,3,4&5)
      In this activity, students see how statistics are used to determine which athletes are chosen to be inducted into the Baseball Hall of Fame. Students work in small groups to calculate, chart, and graph various statistics for different Hall of Fame members. After reading an article about new inductees to the Hall of Fame students collect data on the statistics used to recommend atheletes for the Hall of Fame and predict which athletes would be good choices to be inducted in the future.
    11. Surfing Amusement Parks - Description and Interpretation (III.2.MS.1,2,3&4)
      Students have a choice of going to any one of five amusement parks in California. They have to choose one with an entrance fee that is the median price range. Surf the Internet to find how much it will cost for your family to go to each park and then graph your findings. This contains a teacher lesson plan and is a student activity.
    12. What Percentage of Your Class is Right or Left Handed? - Description and Interpretation (III.2.MS.1,2,3&4)
      Students will write letters down for 20 seconds with their right hand and then do the same for their left. And record the results in a graph form. This is a student activity.
  4. Benchmark 4. "Critically question the sources of data; the techniques used to collect, organize and present data; the inferences drawn from the data; and the possible sources of bias in the data or their presentation."
    1. A Functional Housing Market - Description and Interpretation (III.2.MS.1,2,3,&4)
      Students will access the Internet to search for housing prices in their town and compare the prices to the number of square feet found in the living area of the house. A linear equation will be derived from the data on a coordinate plane. Any "best-fit" method for determining the graph of the line can be used. This contains a teacher lesson plan and is a student activity. This is designed for an Algebra One course.
    2. Adventures in Statistics - Description and Interpretation (III.2.MS.1,2,3&4)
      Students need to collect information about the classroom in their building (example: length, width, height and number of students in the different classrooms). After collecting all the data the students then need to construct graphs representing this data. This contains a teacher lesson plan and is a student activity.
    3. Houston Area Real-Time Traffic Report - Description and Interpretation (III.2.MS.1,2,3&4)
      Students will calculate the time needed to travel a certain distance given the rate of speed. They will be collecting "real-time traffic maps of the Houston area. Upon collecting their information they will construct graphs. This contains a teacher lesson plan and is a student activity.
    4. New Kids in The Hall: Analyzing Baseball Hall of Fame Statistics in the Math Classroom - Description and Interpretation (III.2.MS.1,2,3,4&5)
      In this activity, students see how statistics are used to determine which athletes are chosen to be inducted into the Baseball Hall of Fame. Students work in small groups to calculate, chart, and graph various statistics for different Hall of Fame members. After reading an article about new inductees to the Hall of Fame students collect data on the statistics used to recommend atheletes for the Hall of Fame and predict which athletes would be good choices to be inducted in the future.
    5. Surfing Amusement Parks - Description and Interpretation (III.2.MS.1,2,3&4)
      Students have a choice of going to any one of five amusement parks in California. They have to choose one with an entrance fee that is the median price range. Surf the Internet to find how much it will cost for your family to go to each park and then graph your findings. This contains a teacher lesson plan and is a student activity.
    6. What Percentage of Your Class is Right or Left Handed? - Description and Interpretation (III.2.MS.1,2,3&4)
      Students will write letters down for 20 seconds with their right hand and then do the same for their left. And record the results in a graph form. This is a student activity.
  5. Benchmark 5. "Formulate questions and problems and gather and interpret data to answer those questions."
    1. Create a Graph - Description and Interpretation (III.2.MS.5)
      Build a graph, allows students to build different types of Graphs. Circle, Bar-line X-Y. The students can label and insert data. Students will enjoy how quick and easy this interactive site is to use.
    2. State Data Map - Description and Interpretation (III.2.MS.5)
      Students play a game in which they try to list 5 countries or states in order from most crowded to least crowded. Using area and population data from a Web site, they estimate quotients to make their list. They determine whose list is closest to the actual order by applying a mathematical model (scoring system), which they later evaluate. As extensions, students try to develop a better scoring system for the game and explore mathematical and social issues related to population density.
    3. New Kids in The Hall: Analyzing Baseball Hall of Fame Statistics in the Math Classroom - Description and Interpretation (III.2.MS.1,2,3,4&5)
      In this activity, students see how statistics are used to determine which athletes are chosen to be inducted into the Baseball Hall of Fame. Students work in small groups to calculate, chart, and graph various statistics for different Hall of Fame members. After reading an article about new inductees to the Hall of Fame students collect data on the statistics used to recommend atheletes for the Hall of Fame and predict which athletes would be good choices to be inducted in the future.
    4. Simulating Probability Situations Using Box Models - Description and Interpretation (III.2.MS.5)
      This interactive tool is an investigation into a "box model" that allows students to explore the relationship between theoretical and experimental probabilities. This activity uses an example activity, "Flipping a Coin", but also allows for the student to develop their own activity.

| Back | Next |