4. Data and Probability (D)
Seventh Grade
Represent and Interpret Data
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- Math Goodies: Introduction to Statistics - This site introduces mean, median, mode, and range. It is a good review of these concepts or it can be used to introduce the topics. A short quiz is offered at the end of the lesson to reinforce student learning.
- 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.
- 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 athletes for the Hall of Fame and predict which athletes would be good choices to be inducted in the future.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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.
- Math Goodies: Introduction to Statistics - This site introduces mean, median, mode, and range. It is a good review of these concepts or it can be used to introduce the topics. A short quiz is offered at the end of the lesson to reinforce student learning.
- 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.
- 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.
- 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.
- 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.
- D.AN.07.04 Find and interpret the median, quartiles, and interquartile range of a given set of data.
- 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.
- 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.
- 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.
- 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.
- 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.
- 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 athletes for the Hall of Fame and predict which athletes would be good choices to be inducted in the future.
- Stem and Leaf Plots Interactive - Stem and Leaf Plots interactive site.
- Stem and Leaf Plots - Stem and Leaf Plots.
- 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.