Seventh Grade

 

  1. Number and Operations (N)
  2. Algebra (A)
  3. Geometry (G)
  4. Data and Probability (D)

 

Additional Links to General Mathematics Sites

 

4. Data and Probability (D)

 

Seventh Grade

Represent and Interpret Data

  1. D.RE.07.01 Represent and interpret data using circle graphs, stem and leaf plots, histograms, and box-and-whisker plots, and select appropriate representation to address specific questions.
    1. A Functional Housing Market
      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
      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. Are You My Type
      The students do a survey on favorite music and least favorite music of peers and adults.  They are to graph this information in a chart and present this information to the class.  Doing this activity in groups would be recommended and it will take 2-3 periods.
    4. Exploring Histograms
      This site has an interactive data analysis tool that allows students to create their own sets of data. They also see how the functions of mean, median, and standard deviation depend on the choice of data. Students enter data and a histogram is drawn showing the results. Students can explore how the graph is altered by changing the mean and median.
    5. Fun and Sun: Rent a Car
      Students are given the task to rent a car for a family vacation. After collecting their data on various cars and given destinations, they arrange their data in both a table and a graph. Based on there data students will select their best choice for car rental.
    6. Height to Hand Relationship
      Scatter Plot – Height to hand relationship - in an interactive format.
    7. Houston Area Real-Time Traffic Report
      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.
    8. Indy 500
      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.
    9. Is It Fair
      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.
    10. Math Files - Data Picking
      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.
    11. Name that Medium
      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.
    12. NCES'S Create a Graph
      This site allows students to choose various types of graphs and construct them.  Instructions are student friendly.  Before students construct a particular graph, there is an explanation about the components of the graph, and an example of how the graph is applied in real life.
    13. New Kids in The Hall: Analyzing Baseball Hall of Fame Statistics in the Math Classroom
      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.
    14. Snowfall Statistics for Snowboarding
      Students use the Internet to collect the current daily snowfall amounts and also to find the price of a lift ticket for snowboarding at different ski resorts in the United States, the students will take a personal interest in the statistics that we are working with. This interest will create a desire to learn, with the result being that the students will be much more successful in mastering a difficult math topic.
    15. Subtracting the Ads
      This activity explores the amount of time spent watching commercials in a half-hour program.  They keep a tally of all the commercials that appear and make a class frequency chart, comparing the number of commercials in different types of television programs.
    16. Surfing Amusement Parks
      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.
    17. What Percentage of Your Class is Right or Left Handed?
      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.
    18. World Shopping Spree
      In this activity, students work in cooperative groups to compare prices for the same merchandise from shops in four different countries. They convert the prices using current exchange rates and determine what they think will be the best buy. Information is illustrated in graphs and tables. They can also share this information is written form.
  2. D.AN.07.02 Create and interpret scatter plots and find line of best fit; use an estimated line of best fit to answer questions about the data.
    1. A Functional Housing Market
      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
      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. Are You My Type
      The students do a survey on favorite music and least favorite music of peers and adults.  They are to graph this information in a chart and present this information to the class.  Doing this activity in groups would be recommended and it will take 2-3 periods.
    4. Exploring Histograms
      This site has an interactive data analysis tool that allows students to create their own sets of data. They also see how the functions of mean, median, and standard deviation depend on the choice of data. Students enter data and a histogram is drawn showing the results. Students can explore how the graph is altered by changing the mean and median.
    5. Fun and Sun: Rent a Car
      Students are given the task to rent a car for a family vacation. After collecting their data on various cars and given destinations, they arrange their data in both a table and a graph. Based on there data students will select their best choice for car rental.
    6. Height to Hand Relationship
      Scatter Plot – Height to hand relationship - in an interactive format.
    7. Houston Area Real-Time Traffic Report
      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.
    8. Indy 500
      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.
    9. Is It Fair
      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.
    10. Math Files - Data Picking
      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.
    11. Name that Medium
      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.
    12. NCES'S Create a Graph
      This site allows students to choose various types of graphs and construct them.  Instructions are student friendly.  Before students construct a particular graph, there is an explanation about the components of the graph, and an example of how the graph is applied in real life.
    13. New Kids in The Hall: Analyzing Baseball Hall of Fame Statistics in the Math Classroom
      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.
    14. Snowfall Statistics for Snowboarding
      Students use the Internet to collect the current daily snowfall amounts and also to find the price of a lift ticket for snowboarding at different ski resorts in the United States, the students will take a personal interest in the statistics that we are working with. This interest will create a desire to learn, with the result being that the students will be much more successful in mastering a difficult math topic.
    15. Subtracting the Ads
      This activity explores the amount of time spent watching commercials in a half-hour program.  They keep a tally of all the commercials that appear and make a class frequency chart, comparing the number of commercials in different types of television programs.
    16. Surfing Amusement Parks
      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.
    17. What Percentage of Your Class is Right or Left Handed?
      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.
    18. World Shopping Spree
      In this activity, students work in cooperative groups to compare prices for the same merchandise from shops in four different countries. They convert the prices using current exchange rates and determine what they think will be the best buy. Information is illustrated in graphs and tables. They can also share this information is written form.

Compute Statistics About Data Sets

  1. D.AN.07.03 Calculate and interpret relative frequencies and cumulative frequencies for given data sets.
  2. D.AN.07.04 Find and interpret the median, quartiles, and interquartile range of a given set of data.
    1. A Functional Housing Market
      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
      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
      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
      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
      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
      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
      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. New Kids in The Hall: Analyzing Baseball Hall of Fame Statistics in the Math Classroom
      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.
    9. Stem and Leaf Plots Interactive
      Stem and Leaf Plots Interactive site.
    10. Stem and Leaf Plots
      Stem and Leaf Plots.
    11. Surfing Amusement Parks
      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. Virtual Manipulative Box Plot
      Box and Whiskers Plot-interactive.
    13. What Percentage of Your Class is Right or Left Handed?
      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.

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