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

 

3. Inference and Prediction

Middle School

  1. Benchmark 1. "Make and test hypotheses."
    1. Down the Drain- How much water do you use? - Inference and Prediction (III.3.MS.1)
      Students gather data to determine the average amount of water used by one person in a day.  Students will have the opportunity to submit their class results to the project database.  They can also examine data that has been submitted by other participates.  This will allow students to compare their results with different parts of the world.
    2. "M&M" Line Plots and Graphing - Inference and Prediction (III.3.MS.1&2)
      Using small individual bags of M&M's, students will do activities to review their understanding of estimating, sorting, graphing, mean, median, mode, percentages, fractions, and averaging. This is a student activity.
  2. Benchmark 2. "Design experiments to model and solve problems using sampling, simulations and controlled investigations."
    1. A Functional Housing Market - Inference and Prediction (III.3.MS.2&3)
      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.
    2. A Statistical Study on the Letters of the Alphabet - Inference and Prediction (III.3.MS.2,3&4)
      This site can be used by students in grades 7-12. Students will gather information to calculate the probability of picking any letter at random from a piece of literature. Students will compare results with other students and answer related questions.
    3. Growing, Growing, Growing - Inference and Prediction (III.3.MS.2,3&4)
      This activity is most suited for Middle School students taking Algebra. Focusing on China's population growth, students graph data on graph paper or using a graphing calculator. Students predict future population numbers and decide if the population growth is linear or exponential. Students analyze the data they collect and write equations that match their graph.
    4. Indy 500 - Inference and Prediction (III.3.MS.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. "M&M" Line Plots and Graphing - Inference and Prediction (III.3.MS.1&2)
      Using small individual bags of M&M's, students will do activities to review their understanding of estimating, sorting, graphing, mean, median, mode, percentages, fractions, and averaging. This is a student guided activity.
    6. NSCDiscovery - Inference and Prediction (III.3.MS.2,3,4&5)
      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.
    7. Surfing Amusement Parks - Inference and Prediction (III.3.MS.2,3)
      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.
  3. Benchmark 3. "Formulate and communicate arguments and conclusions based on data and evaluate their arguments and those of others."
    1. A Functional Housing Market - Inference and Prediction (III.3.MS.2&3)
      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.
    2. A Statistical Study on the Letters of the Alphabet - Inference and Prediction (III.3.MS.2,3&4)
      This site can be used by students in grades 7-12. Students will gather information to calculate the probability of picking any letter at random from a piece of literature. Students will compare results with other students and answer related questions.
    3. Growing, Growing, Growing - Inference and Prediction (III.3.MS.2,3&4)
      This activity is most suited for Middle School students taking Algebra. Focusing on China's population growth, students graph data on graph paper or using a graphing calculator. Students predict future population numbers and decide if the population growth is linear or exponential. Students analyze the data they collect and write equations that match their graph.
    4. Indy 500 - Inference and Prediction (III.3.MS.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. NSCDiscovery - Inference and Prediction (III.3.MS.2,3,4&5)
      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.
    6. Surfing Amusement Parks - Inference and Prediction (III.3.MS.2,3)
      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.
    7. Using Statistics to Predict the Future - Inference and Prediction (III.3.MS.3,4&5)
      In this interactive webquest, students will use information from the the U.S, Census Bureau. Each group will select an area of interest and explore the statistics to determine trends and predict what may happen in the future. Students will organize this information, and present the data that supports their predictions.
  4. Benchmark 4. "Make predictions and decisions based on data, including interpolations and extrapolations."
    1. A Statistical Study on the Letters of the Alphabet - Inference and Prediction (III.3.MS.2,3&4)
      This site can be used by students in grades 7-12. Students will gather information to calculate the probability of picking any letter at random from a piece of literature. Students will compare results with other students and answer related questions.
    2. Growing, Growing, Growing - Inference and Prediction (III.3.MS.2,3&4)
      This activity is most suited for Middle School students taking Algebra. Focusing on China's population growth, students graph data on graph paper or using a graphing calculator. Students predict future population numbers and decide if the population growth is linear or exponential. Students analyze the data they collect and write equations that match their graph.
    3. NSCDiscovery - Inference and Prediction (III.3.MS.2,3,4&5)
      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.
    4. Using Statistics to Predict the Future - Inference and Prediction (III.3.MS.3,4&5)
      In this interactive webquest, students will use information from the the U.S, Census Bureau. Each group will select an area of interest and explore the statistics to determine trends and predict what may happen in the future. Students will organize this information, and present the data that supports their predictions.
  5. Benchmark 5. "Employ investigations, mathematical models and simulations to make inferences and predictions to answer questions and solve problems."
    1. How Many Games Does It Take To Win the World Series? - Inference and Prediction (III.3.MS.5)
      Students flip a coin to determine how many games is needed to win the series. Students answer open ended questions.
    2. NSCDiscovery - Inference and Prediction (III.3.MS.2,3,4&5)
      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.
    3. The Hand Squeeze - Inference and Prediction (III.3.MS.5)
      Students conduct an experiment in class. They pass a "hand squeeze" around a circle and measure the amount of time it takes for the hand squeeze to pass around the circle. Students organize, graph, and analyze the results. There is an extension activity which the student must predict an outcome and then conduct the simulation.  Not interactive, this is a teacher lesson plan.
    4. Using Statistics to Predict the Future - Inference and Prediction (III.3.MS.3,4&5)
      In this interactive webquest, students will use information from the the U.S, Census Bureau. Each group will select an area of interest and explore the statistics to determine trends and predict what may happen in the future. Students will organize this information, and present the data that supports their predictions.

| Back | Next |