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Vetted resources educators can use to teach the concepts and skills in this topic.
| Name |
Description |
| Why Correlations?: | This lesson is an introductory lesson to correlation coefficients. Students will engage in research prior to the teacher giving any direct instruction. The teacher will provide instruction on how to find the correlation coefficient by hand and using Excel. |
| Why Correlations?: | This lesson is an introductory lesson to correlation coefficients. Students will engage in research prior to the teacher giving any direct instruction. The teacher will provide instruction on how to find the correlation coefficient by hand and using Excel. |
| Where Should We Move? STEM Lesson Plan: | Students will collect data to identify planet composition, average temperature, and the distance of some planets within the Milky Way Galaxy from the Sun. Students will complete two-way tables to make comparisons. Students will then analyze and interpret their data. Students will make inferences and justify their reasoning. |
| Sea Turtle Nesting Associations: | In this lesson, students preview a Sea Turtle Research Perspectives Video to introduce the idea that sea turtle gender hatching rates and temperature are related. Students will use scatterplots to visualize the relationships and draw conclusions about associations and how it helps in interpreting two variable data sets. |
| Clean Up, Collect Data, and Conserve the Environment!: | Students will participate in collecting trash either on campus or another location. They will compare the distance traveled and the weight of the trash bag collected. Students will explore the use of mean and median in finding the ratios of the data set. They will discuss the use of mean and median in finding the relationship between the independent and dependent variables. Students will examine their scatter plot and determine if any patterns of association exist. They will compare their data to a coastal cleanup report. Finally, students will use the data to help determine interventions at the local, state and national level regarding environmental issues. |
| Sea Ice Analysis Grade 8: | The changing climate is an important topic for both scientific analysis and worldly knowledge. This lesson uses data collected by the National Snow and Ice Data Center to create and use mathematical models as a predictive tool and do critical analysis of sea ice loss. |
| Sensoring Data: | In this follow up lesson, students will explore data collection using the weather station sensor and perform statistical analysis of the data. Students will use a scientific method of inquiry to plan an investigation of their own. This activity is meant to allow students to use a variety of skills they have acquired throughout a statistics unit in a personally meaningful way. |
| Overloading Circuits: | In this design challenge, students will explore electrical circuits. Students will use their skills in science, math, and technology to determine how many light bulbs can be powered off of one circuit. Students will build circuits, measure luminosity, graph data, analyze the data and then report their findings to Kiser construction. |
| Shipwrecked Pirates: | In this lesson, students will take the role of shipwrecked pirates. Working in groups, they will have to use the concepts of force, speed, scatter plots, and literal equations to come up with a way of getting one student to a nearby sister island so that they will both have enough food to survive. |
| Mixtures and Solutions Uncovered: | This lesson is a hands-on approach to SC.8.P.8.9 that the students enjoy and are engaged in. The main activities cover making anchor charts (teacher lead) that will assist them in completing activities that cover vocabulary and a break down of characteristics for mixtures. There are four group activities that will guide the students to an understanding of the standard outlined. This is a two-day lab that adds teacher demonstration and allows for collaborative group and student-talk sessions. |
| Sensoring Data: | In this follow up lesson, students will explore data collection using the weather station sensor and perform statistical analysis of the data. Students will use a scientific method of inquiry to plan an investigation of their own. This activity is meant to allow students to use a variety of skills they have acquired throughout a statistics unit in a personally meaningful way. |
| Steel vs. Wooden Roller Coaster Lab: | This lesson is a Follow Up Activity to the Algebra Institute and allows students to apply their skills on analyzing bivariate data. This STEM lesson allows students the opportunity to investigate if there is a linear relationship between a coaster's height and speed. Using technology the students can determine the line of best fit, correlation coefficient and use the line for interpolation. This lesson also uses prior knowledge and has students solve systems of equations graphically to determine which type of coaster is faster. |
| Height Arm Juxtaposition: | This lesson is a Follow Up Activity to the Algebra Institute and allows students to apply their skills on analyzing bivariate data. This STEM lesson allows students the opportunity to investigate if there is a linear relationship between a person's height and arm length. Using technology the students will explore in-depth how to perform a least square regression as a procedure for determining the line of best fit. |
| Height Scatterplot Lab: | This lesson is a Follow Up Activity to the Algebra Institute and allows students to apply their skills on analyzing bivariate data. This STEM lesson allows students the opportunity to investigate if there is a linear relationship between a person's height and foot length. Using technology the students can determine the line of best fit, correlation coefficient and use the line for interpolation. |
| Star Scatter Plots: | In this lesson, students plot temperature and luminosity data from a provided star table to create a scatter plot. They will analyze the data to sequence the colors of stars from hottest to coolest and to describe the relationship between temperature and luminosity. This lesson does not address differentiation between absolute and apparent magnitude. |
| Scattering Plots: | Students will find the slope of the line of regression in a scatter plot. Students will interpret the line of regression in context to a real-world situation involving bivariate data. |
| Two-Way Math Survey: | In this lesson, students will construct a two-way table based on data given. They will interpret the data to find if there is a correlation between the two variables from the same subject. As the lesson progresses, students will create their own testable questions that they will collect data on using the survey method. Students will show their mastery of this math concept with the presentation of the data in a two-way table and interpretation of the data to draw inferences. |
| Text Count and Homework Minutes: | Text Count and Homework Minutes
The Students will engage in counting Text minutes and Homework minutes. They will keep a journal to be kept over a four day period, Monday thru Thursday. The assignment can be done on Friday. The students will record the number of text messages received and sent out during the hours of 3:00-11:00. On the second journal the students will also record the number of minutes spent on homework between the hours of 3:00-11:00. They will compile this information into graphs on that 5th day Friday. With this data the students will be able to plot a scatter plot graph and learn how to recognize patterns on a scatter plot graph. Students will see the relevance of a correlation even if the graph is not linear or a straight line. Students will identify trends and articulate the reason for the trends. |
| Scattered Time: | Through a slide show presentation, students will be led through data in one variable, bivariate data, scatter plots, lines of best fit, outliers, and correlations. They will be able to analyze bivariate data to determine correlations, associations, and the impact of outliers. |
| Tackling 2 Way Tables: | This highly engaging and interactive lesson will have students constructing two-way tables, calculating relative frequency and analyzing the bivariate data to determine a possible association between the two variable categories. |
| If the line fits, where's it?: | In this lesson students learn how to informally determine a "best fit" line for a scatter plot by considering the idea of closeness. |
| Scatter Plots at Arm's Reach: | This lesson is an introductory lesson to scatter plots and line of best fit (trend lines). Students will be using m&m's to represent different associations in scatter plots, and measure each other's height and arm span to create their own bivariate data to analyze. Students will be describing the association of the data, patterns of the data, informally draw a line of best fit (trend line), write the equation of the trend line, interpret the slope and y-intercept, and make predictions. |
| Help, My Data is Scattered!!!: | This lesson provides activities for students to conceptually understand how to gather, organize, and interpret data using a scatter plot. They will be required to work cooperatively to complete certain tasks. They will use estimation strategies to complete a experiment that compares the the length of their hand to the number of centimeter cubes they can grab in order to make predictions about data with a larger sample size. Students will be assessed formally and informally throughout lesson via slide notes and data collection tool. |
| Where do I fit in?: | Students will do an exploration activity with paper airplanes. They will be up and moving around. Students will be able to understand and analyze bivariate data that they will be able to plot from the exploration activity. They will be able to describe patterns, and also find facts and come up with conclusions based on the data they gather. |
| Creating a Linear Model: | Students will analyze data to create scatter plots. They will draw the line of best fit to determine linear models. The teacher will use PowerPoint and activities included to guide the students into finding the line of best fit. |
| What's Your Association: Scatter Plots and Bivariate Data: | In this lesson, students will learn how to graph, describe, and determine patterns and associations for bivariate data. This lesson incorporates vocabulary development and collaboration. |
| Linear Statistical Models: | In this lesson, students will learn how to analyze data and find the equation of the line of best fit. Students will then find the slope and intercept of the best fit line and interpret the meaning in the context of the data. |
| How Heavy is Your Lineman: | This lesson will get your student up to speed with constructing and interpreting scatter plots using bivariate data. With this lesson, patterns of association are investigated between two quantities and positive or negative association as well as linear and non-linear association is determined through the use of data from the NFL as reported by ESPN. Data from Consumer Reports is used to determine associations between shoe price and quality. |
| Chemical or Physical Change? That is the Question!: | Students will conduct an investigation on the effect of laundry detergent on water temperature, use technology to graph their data, and determine whether a physical or chemical change occurred. Students will also read articles to gather evidence to write an evidence-based claim using the CLEVER method. |
| How Fast Can You Go: | Students will apply skills (making a scatter plot, finding Line of Best Fit, finding an equation and predicting the y-value of a point on the line given its x-coordinate) to a fuel efficiency problem and then consider other factors such as color, style, and horsepower when designing a new coupe vehicle. Model Eliciting Activities, MEAs, are open-ended, interdisciplinary problem-solving activities that are meant to reveal students’ thinking about the concepts embedded in realistic situations. Click here to learn more about MEAs and how they can transform your classroom. |
| Scattered Data: | This lesson allows students to use real-life problem-solving skills to construct and interpret scatter plots by generating and recording their own data. Students will investigate patterns between bivariate measurement data. They will model linear associations with a line of best fit. |
| Spaghetti Bridges: | Students use data collection from their spaghetti bridge activity to write linear equations, graph the data, and interpret the data. |
| Finding the Hottest Trend: | In this lesson, students will graph a scatter plot and learn how to recognize patterns. The students will learn that correlation may still exist even though the points are not in a perfectly straight line (linear function). Students will be able to identify outliers, describe associations, and justify their reasoning. |
| Why Correlations?: | This lesson is an introductory lesson to correlation coefficients. Students will engage in research prior to the teacher giving any direct instruction. The teacher will provide instruction on how to find the correlation coefficient by hand and using Excel. |
| Guess the Celebrities' Heights!: | In this activity, students use scatter plots to compare the estimated and actual heights of familiar celebrities and athletes. They will determine how their answers impact the correlation of their data, including the influence of outliers. Finally, they will compare their correlation to that provided in a scatter plot with a larger data sample. |
| Graphing Equations on the Cartesian Plane: Slope: | The lesson teaches students about an important characteristic of lines: their slope. Slope can be determined either in graphical or algebraic form. Slope can also be described as positive, negative, zero, or undefined. Students get an explanation of when and how these different types of slope occur. Finally, students learn how slope relates to parallel and perpendicular lines. When two lines are parallel, they have the same slope and when they are perpendicular their slopes are negative reciprocals of one another. Prerequisite knowledge: Students must know how to graph points on the Cartesian plane. They must be familiar with the x- and y- axes on the plane in both the positive and negative directions. |
| Constructing and Calibrating a Hydrometer: | Students construct and calibrate a simple hydrometer using different salt solutions. They then graph their data and determine the density and salinity of an unknown solution using their hydrometer and graphical analysis. |
| Name |
Description |
| You and Michael: | In this problem solving task, students will test Marcus Vitruvius"s theory that a person"s height is approximately equal to their arm span (wingspan). Students will test this theory via collection, recording, graphing and analysis of data. |
| Bear Hugs: | In this problem solving activity, students are tasked with measuring the arm lengths of fellow students. Students will record the data and use it to construct a boxplot and scatterplot to help draw conclusions. |
| Modeling Linear Relationships: | In this lesson, which is part of a unit on bivariate data and analysis, students use data collected comparing height and arm span and create a scatter plot from the bivariate data. In the first section, How Square Can You Be?, students look at measurement comparisons between the height and arm span of 24 people. The second section, Analyzing the Differences, asks students to look at the data again to answer questions about proportion of height to arm span, such as who is square and who is rectangular. The third section, Using a Scatter Plot, has students analyze the same data on a scatter plot with the line representing Height = Arm Span. There are questions for student to answer independently, but hints are provided. |
| How Is the Weather?: | This task can be used as a quick assessment to see if students can make sense of a graph in the context of a real world situation. Students also have to pay attention to the scale on the vertical axis to find the correct match. The first and third graphs look very similar at first glance, but the function values are very different since the scales on the vertical axes are very different. The task could also be used to generate a group discussion on interpreting functions given by graphs. |
| Music and Sports: | This task asks the student to gather data on whether classmates play an instrument and/or participate in a sport, summarize the data in a table and decide whether there is an association between playing a sport and playing an instrument. Finally, the student is asked to create a graph to display any association between the variables. |
| What's Your Favorite Subject?: | Students are asked to examine data given in table format and then calculate either row percentages or column percentages and state a conclusion about the meaning of the data. Either calculation is appropriate for the solution since there is no clear relationship between the variables. Whether the student sees a strong association or not is less important than whether his or her answer uses the data appropriately and demonstrates understanding that an association means the distribution of favorite subject is different for 7th graders and 8th graders. |
| Texting and Grades 1: | Students are asked to examine a scatter plot and then interpret its meaning. Students should identify the form of the relationship (linear, curved, etc.), the direction or correlation (positive or negative), any specific outliers, the strength of the relationship between the two variables, and any other relevant observations. |
| US Airports: | In this resource, real-world bivariate data is displayed in a scatter plot. The equation of the linear function which models the relationship between the two variables is provided, and it is graphed on the scatter plot. Students are asked to use the model to interpret the data and to make predictions. |
| Name |
Description |
| Graphing Lines: | Allows students access to a Cartesian Coordinate System where linear equations can be graphed and details of the line and the slope can be observed. |
| Data Flyer: | Using this virtual manipulative, students are able to graph a function and a set of ordered pairs on the same coordinate plane. The constants, coefficients, and exponents can be adjusted using slider bars, so the student can explore the affect on the graph as the function parameters are changed. Students can also examine the deviation of the data from the function. This activity includes supplemental materials, including background information about the topics covered, a description of how to use the application, and exploration questions for use with the java applet. |
| Univariate and Bivariate Data: | This lesson is designed to introduce students to the difference between univariate and bivariate data, and how the two can be represented graphically. This lesson provides links to model discussions and online graphing applets, as well as suggested ways to integrate them into the lesson. Finally, the lesson provides links to follow-up lessons designed for use in succession with the current one. |
| Advanced Data Grapher: | This is an online graphing utility that can be used to create box plots, bubble graphs, scatterplots, histograms, and stem-and-leaf plots. |
| Curve Fitting: | With a mouse, students will drag data points (with their error bars) and watch the best-fit polynomial curve form instantly. Students can choose the type of fit: linear, quadratic, cubic, or quartic. Best fit or adjustable fit can be displayed. |
| Equation Grapher: | This interactive simulation investigates graphing linear and quadratic equations. Users are given the ability to define and change the coefficients and constants in order to observe resulting changes in the graph(s). |
| Line of Best Fit: | This manipulative allows the user to enter multiple coordinates on a grid, estimate a line of best fit, and then determine the equation for a line of best fit. |
| KidsZone: Create a Graph: | Create bar, line, pie, area, and xy graphs. |
Vetted resources students can use to learn the concepts and skills in this topic.
Vetted resources caregivers can use to help students learn the concepts and skills in this topic.
