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

Additional Links to General Mathematics Sites

• Mathematics Games and Student Activities
• Mathematics Lessons Plans
• Interactive Learning and Problem Solving Activities
• Word Searches and Puzzles in Mathematics
• Miscellaneous Sites

High School

1. Benchmark 1. "Make and test hypotheses."
   1. Mystery Liquids - Inference and Prediction (III.3.HS.1)
      Teacher lesson plan that focuses on a student project that requires students to make and test a hypothesis about the density of liquids, do an experiment, collect data, and then represent the data collected in a graph.
   2. Put the Heart into Mathematics - Inference and Prediction (III.3.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. The Hermit Problem - Inference and Prediction (III.3.HS.1&5)
      This project tracks the spread of a disease on a desert island inhabited by hermits. It uses the Internet and other student activities to explore the concept of expected value (ie: How many hermits do we expect to get the disease?).
2. Benchmark 2. "Design investigations to model and solve problems; also employ confidence intervals and curve fitting in analyzing the data."
   1. Put the Heart into Mathematics - Inference and Prediction (III.3.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. What's the City Mileage of a Typical American Car? - Inference and Prediction (III.3.HS.2&5)
      The goals of this lesson are to teach the methods of finding confidence intervals and tests for differences using the bootstrap method. Many statistical ideas will be investigated such as randomness, how to sample from a data set and how to make decisions based on statistical evidence. The activities use car mileage and sports topics. The class level that this lesson is geared towards are high school mathematics or statistics classes who have an interest in investigating statistical decision making.
   3. Running to Conclusions and Exponential Fit - Inference and Prediction (III.3.HS.2,3&5)
      Using spreadsheets, this lesson explores the process of finding the best fitting exponential curve to sets of statistical data.
3. Benchmark 3. "Formulate and communicate arguments and conclusions based on data and evaluate their arguments and those of others."
   1. Analysis of Human Population Growth - Inference and Prediction (III.3.HS.3,4&5)
      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. El Nino or El No-no -  Inference and Prediction (III.3.HS.3&4)
      Student interactive site where the students collect data (Water temperatures from ocean buoys.) and present it using different statistical methods. They will then predict what the future weather patterens will be from their collected data.  This is a Webquest site
   3. Put the Heart into Mathematics - Inference and Prediction (III.3.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. Running to Conclusions and Exponential Fit - Inference and Prediction (III.3.HS.2,3&5)
      This lesson use spreadsheets to explores the process of finding the best fitting exponential curve to sets of statistical data. Note: Must scroll past "Running to Conclusions" to get to "Exponential Fit.
   5. Shedding Light on the Subject: Function Models of Light Decay - Inference and Prediction (III.3.HS.3,4&5)
      Presented by NCTM (Illuminations), this website provides the teacher with a four lesson unit on the decay of light as an exponential model. Teachers will appreciate the printer friendly lesson plans accompanied by student objectives, worksheets, and references. The site includes an interactive grapher and downloadable movie clips (quick time required) for students.
4. Benchmark 4. "Make predictions and decisions based on data, including interpolations and extrapolations."
   1. Analysis of Human Population Growth - Inference and Prediction (III.3.HS.3,4&5)
      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. El Nino or El No-no -  Inference and Prediction (III.3.HS.3&4)
      Student interactive site where the students collect data (Water temperatures from ocean buoys.) and present it using different statistical methods. They will then predict what the future weather patterens will be from their collected data.  This is a Webquest site
   3. Global Warming Statistics - Inference andPrediction (III.3.HS.4)
      This site is a good resource for teachers and contains an activity for the students to collect data on the Internet about changing climates. The students then analyze the data with statistics as well as plot graphs and extrapolate.
   4. Put the Heart into Mathematics - Inference and Prediction (III.3.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,.
   5. Shedding Light on the Subject: Function Models of Light Decay - Inference and Prediction (III.3.HS.3,4&5)
      Presented by NCTM (Illuminations), this website provides the teacher with a four lesson unit on the decay of light as an exponential model. Teachers will appreciate the printer friendly lesson plans accompanied by student objectives, worksheets, and references. The site includes an interactive grapher and downloadable movie clips (quick time required) for students.
   6. What Percentage of your Class is Right or Left Handed? - Inference and Prediction (III.3.HS.4&5)
      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.
5. Benchmark 5. "Employ investigations, mathematical models, and simulations to make inferences and predictions to answer questions and solve problems."
   1. Analysis of Human Population Growth - Inference and Prediction (III.3.HS.3,4&5)
      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. Put the Heart into Mathematics - Inference and Prediction (III.3.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. Running to Conclusions and Expoential Fit - Inference and Prediction (III.3.HS.2,3&5)
      This lesson uses spreadsheets to explores the process of finding the best fitting exponential curve to sets of statistical data.
   4. Shedding Light on the Subject: Function Models of Light Decay - Inference and Prediction (III.3.HS.3,4&5)
      Presented by NCTM (Illuminations), this website provides the teacher with a four lesson unit on the decay of light as an exponential model. Teachers will appreciate the printer friendly lesson plans accompanied by student objectives, worksheets, and references. The site includes an interactive grapher and downloadable movie clips (quick time required) for students.
   5. The Hermit Problem - Inference and Prediction (III.3.HS.1&5)
      This project tracks the spread of a disease on a desert island inhabited by hermits. It uses the Internet and other student activities to explore the concept of expected value (ie: How many hermits do we expect to get the disease?).
   6. What Percentage of your Class is Right or Left Handed? - Inference and Prediction (III.3.HS.4&5)
      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.
   7. What's the City Mileage of a Typical American Car? - Inference and Prediction (III.3.HS.2&5)
      The goals of this lesson are to teach the methods of finding confidence intervals and tests for differences using the bootstrap method. Many statistical ideas will be investigated such as randomness, how to sample from a data set and how to make decisions based on statistical evidence. The activities use car mileage and sports topics. The class level that this lesson is geared towards are high school mathematics or statistics classes who have an interest in investigating statistical decision making.