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

High 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. Descriptive Statistics - Description and Interpretation (III.2.HS.1,2&3)
      This is an introduction to descriptive statistics that offers the student a very hands-on approach and keeps them interested by traveling through the site and around the net. It covers central tendency and variance quite thoroughly.
    2. Interpreting Graphs - The Hot Tub - Description and Interpretation (III.2.HS.1)
      This site asks students to interpret a graph of Water Depth versus Time using the concepts of slope and function. They must determine what is happening to the water depth when the slope is a certain value and whether it is a function or not. They can see the difference between zero slope and no slope, and how that relates to the change in water depth over time.
    3. Put the Heart into Mathematics - Description and Interpretation (III.2.HS.1,2,3,4&5)
      Outstanding! This NCTM (Illuminations) activity is geared for students in grades 9-12. This unit contains four different teacher lesson plans with reproducible student worksheets, and interactive graphing and data collection capabilities. The lessons provided explore cardiac output by measuring the amount of blood being pumped by an experimental heart. Students will explore rates of change and accumulation in the context of cardiac output and accumulation using hands on experimentation, data collection, "pencil and paper" activities, etc.
    4. What Percentage of your Class is Right or Left Handed? - Description and Interpretation (III.2.HS.1,2&3)
      Cythia Lanius provides this lesson for high school students to determine the percentage of students that are right or left handed in a classroom. Students perform experiments, collect data, graph the data, and analyze their findings. Worksheets, spreadsheets and teacher notes are available.
  2. Benchmark 2. "Describe the shape of a data distribution and determine measures of central tendency, variability and correlation."
    1. Descriptive Statistics - Description and Interpretation (III.2.HS.1,2&3)
      This is an introduction to descriptive statistics that offers the student a very hands-on approach and keeps them interested by traveling through the site and around the net. It covers central tendency and variance quite thoroughly.
    2. How Much Money Do Baseball Players Really Make? - Description and Interpretation (III.2.HS.2&3)
      This lesson is intended for students 9-12 who are exploring the statistical concepts of variance and covariance in whatever class they may be currently enrolled.
      This is a student activity.
    3. Investigating Linear Relationships: The Regression Line and Correlation - Description and Interpretation (III.2.HS.2)
      An interactive site that allows students to input data into any sized graph to see the best fit linear regresssions.  It also addresses outliers and their affect on regressions and finds correlation coefficients.
    4. Measuring Error in a Linear Model - Description and Interpretation (III.2.HS.2)
      This is a student activity that allows the student to explore three methods for measuring how well a linear model fits a set of data points.
    5. Put the Heart into Mathematics - Description and Interpretation (III.2.HS.1,2,3,4&5)
      Outstanding! This NCTM (Illuminations) activity is geared for students in grades 9-12. This unit contains four different teacher lesson plans with reproducible student worksheets, and interactive graphing and data collection capabilities. The lessons provided explore cardiac output by measuring the amount of blood being pumped by an experimental heart. Students will explore rates of change and accumulation in the context of cardiac output and accumulation using hands on experimentation, data collection, "pencil and paper" activities, etc.
    6. What Percentage of your Class is Right or Left Handed? - Description and Interpretation (III.2.HS.1,2&3)
      Cythia Lanius provides this lesson for high school students to determine the percentage of students that are right or left handed in a classroom. Students perform experiments, collect data, graph the data, and analyze their findings. Worksheets, spreadsheets and teacher notes are available.
  3. Benchmark 3. "Use the data and their characteristics to draw and support conclusions."
    1. Analysis of Human Population Growth - Description and Interpretation (III.2.HS.3)
      This 3-part activity is designed to introduce students to human population growth. Several online sources are used in this activity, including a World Population Clock that is a real time data site. In Parts 1 and 2 students make a variety of mathematical calculations designed to illustrate the current size and growth rate of the human population. In Part 3 students analyze a graph that shows human population growth over time and complete a written assessment that requires them to demonstrate their level of understanding of population size, growth rate, factors that have led to current levels of growth, and predictions for the future.  The site includes three activities, rubrics for assessment, and suggestions for accomodations for special needs.
    2. Descriptive Statistics - Description and Interpretation (III.2.HS.1,2&3)
      This is an introduction to descriptive statistics that offers the student a very hands-on approach and keeps them interested by traveling through the site and around the net. It covers central tendency and variance quite thoroughly.
    3. Exploring Population Growth - Description and Interpretation (III.2.HS.3&5)
      This series of activities explores the environmental and mathematical aspects of population growth. It is a long term project with 9 available lessons each 45 minutes in duration. This project is appropriate for high school math and can be tailored to meet indivdual student needs.
    4. How Much Money Do Baseball Players Really Make? - Description and Interpretation (III.2.HS.2&3)
      This lesson is intended for students 9-12 who are exploring the statistical concepts of variance and covariance in whatever class they may be currently enrolled. This is a student activity.
    5. Put the Heart into Mathematics - Description and Interpretation (III.2.HS.1,2,3,4&5)
      Outstanding! This NCTM (Illuminations) activity is geared for students in grades 9-12. This unit contains four different teacher lesson plans with reproducible student worksheets, and interactive graphing and data collection capabilities. The lessons provided explore cardiac output by measuring the amount of blood being pumped by an experimental heart. Students will explore rates of change and accumulation in the context of cardiac output and accumulation using hands on experimentation, data collection, "pencil and paper" activities, etc.
    6. What Percentage of your Class is Right or Left Handed? - Description and Interpretation (III.2.HS.1,2&3)
      Cythia Lanius provides this lesson for high school students to determine the percentage of students that are right or left handed in a classroom. Students perform experiments, collect data, graph the data, and analyze their findings. Worksheets, spreadsheets and teacher notes are available.
  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 sources of bias and measures taken to eliminate such bias."
    1. Put the Heart into Mathematics - Description and Interpretation (III.2.HS.1,2,3,4&5)
      Outstanding! This NCTM (Illuminations) activity is geared for students in grades 9-12. This unit contains four different teacher lesson plans with reproducible student worksheets, and interactive graphing and data collection capabilities. The lessons provided explore cardiac output by measuring the amount of blood being pumped by an experimental heart. Students will explore rates of change and accumulation in the context of cardiac output and accumulation using hands on experimentation, data collection, "pencil and paper" activities, etc.
    2. Sampling: An Exercise in Statistics Introduction - Description and Interpretation (III.2.HS.4)
      Outstanding - Students use 5 articles from the Internet that have information about surveys, experiments or observational studies. They need to see which statistical terms apply. After that, they rank the 5 articles in order of credibility, and justify their ranking.
  5. Benchmark 5. "Formulate questions and problems and gather and interpret data to answer those questions."
    1. Exploring Population Growth - Description and Interpretation (III.2.HS.3&5)
      This series of activities explores the environmental and mathematical aspects of population growth. It is a long term project with 9 available lessons each 45 minutes in duration. This project is appropriate for high school math and can be tailored to meet indivdual student needs.
    2. Put the Heart into Mathematics - Description and Interpretation (III.2.HS.1,2,3,4&5)
      Outstanding! This NCTM (Illuminations) activity is geared for students in grades 9-12. This unit contains four different teacher lesson plans with reproducible student worksheets, and interactive graphing and data collection capabilities. The lessons provided explore cardiac output by measuring the amount of blood being pumped by an experimental heart. Students will explore rates of change and accumulation in the context of cardiac output and accumulation using hands on experimentation, data collection, "pencil and paper" activities, etc.
    3. Using Rational Functions to Investigate the Behavior of Northwestern Crows - Description and Interpretation (III.2.HS.5)
      In this investigation students will explore possible reasons behind the observation that northwestern crows consistently drop a type of mollusk called a whelk from a height of 5 meters.
    4. Variance and Covariance - Description and Interpretation (III.2.HS.5)
      This lesson uses Geometer's SketchPad notebooks and Microsoft Excel to explore variance and covariance. This lesson is intended for students 9-12 who are studying statistics.

| Back | Next |