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Thinkfinity Lesson Plans
Subject:
Mathematics
Title:
The Regression Line and Correlation
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Description:
This four-lesson unit, from Illuminations, provides students with the opportunity to investigate the relationship between a set of data points and a curve used to fit the data points, using a computer-based interactive tool. Using the Regression Line Applet, students investigate the properties of regression lines and correlation.
Thinkfinity Partner:
Illuminations
Grade Span:
9,10,11,12
Subject:
Mathematics
Title:
Automobile Mileage: Age vs. Mileage
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Description:
In this lesson, one of a multi-part unit from Illuminations, students plot data about automobile mileage and interpret the meaning of the slope and y-intercept of the least squares regression line. By examining the graphical representation of the data, students analyze the meaning of the slope and y-intercept of the line and put those meanings in the context of the real-life application. This lesson incorporates an interactive regression line applet.
Thinkfinity Partner:
Illuminations
Grade Span:
9,10,11,12
Subject:
Mathematics
Title:
Automobile Mileage: Comparing and Contrasting
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Description:
In this lesson, one of a multi-part unit from Illuminations, students compare and contrast their findings from previous lessons of the unit. This lesson allows students the time they need to think about and discuss what they have done in the previous lessons. This lesson provides the teacher with another opportunity to listen to student discourse and assess student understanding.
Thinkfinity Partner:
Illuminations
Grade Span:
9,10,11,12
Subject:
Mathematics
Title:
Bathtub Water Levels
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Description:
In this lesson, one of a multi-part unit from Illuminations, students examine real-life data that illustrates a negative slope. Students interpret the meaning of the negative slope and y-intercept of the graph of the real-life data. By examining the graphical representation of the data, students relate the slope and y-intercept of the least squares regression line to the real-life data. They also interpret the correlation coefficient of the least squares regression line. This lesson incorporates an interactive regression line applet.
Thinkfinity Partner:
Illuminations
Grade Span:
9,10,11,12
Subject:
Mathematics
Title:
Correlation and the Regression Line
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Description:
This lesson, one of a multi-part unit from Illuminations, provides students with the opportunity to investigate the relationship between a set of data points and a curve used to fit the data points, using a computer-based interactive tool. Using the Regression Line Applet, students learn about Pearson s correlation coefficient--the measure of the linear association between the horizontal variable and the vertical variable.
Thinkfinity Partner:
Illuminations
Grade Span:
9,10,11,12
Subject:
Mathematics
Title:
Exploring Linear Data
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Description:
In this lesson, from Illuminations, students model linear data in a variety of settings. Students can work alone or in small groups to construct scatterplots, interpret data points and trends, and investigate the notion of line of best fit.
Thinkfinity Partner:
Illuminations
Grade Span:
6,7,8,9,10,11,12
Subject:
Mathematics
Title:
Least Squares Regression
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Description:
In this nine-lesson unit, from Illuminations, students interpret the slope and y-intercept of least squares regression lines in the context of real-life data. Students use an interactive applet to plot the data and calculate the correlation coefficient and equation of the least squares regression line. These lessons develop skills in connecting, communicating, reasoning, and problem solving as well as representing fundamental ideas about data.
Thinkfinity Partner:
Illuminations
Grade Span:
9,10,11,12
Subject:
Mathematics
Title:
Teaching Math Anxiety
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Description:
In this Science Update, from Science NetLinks, you'll hear about how female teachers may pass their own math anxiety to the girls they teach. Science Updates are audio interviews with scientists and are accompanied by a set of questions as well as links to related Science NetLinks lessons and other related resources.
Thinkfinity Partner:
Science NetLinks
Grade Span:
6,7,8,9,10,11,12
Subject:
Mathematics
Title:
The Centroid and the Regression Line
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Description:
This lesson, one of a multi-part unit from Illuminations, provides students with the opportunity to investigate the relationship between a set of data points and a curve used to fit the data points, using a computer-based interactive tool. Using the Regression Line Applet, students investigate the centroid of a data set and its significance for the line fitted to the data.
Thinkfinity Partner:
Illuminations
Grade Span:
9,10,11,12
Subject:
Mathematics
Title:
The Effects of Outliers
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Description:
This lesson, one of a multi-part unit from Illuminations, provides students with the opportunity to investigate the relationship between a set of data points and a curve used to fit the data points, using a computer-based interactive tool. Using the Regression Line Applet, students investigate the effect of outliers on a regression line and easily see their significance.
Thinkfinity Partner:
Illuminations
Grade Span:
9,10,11,12
Subject:
Mathematics
Title:
Traveling Distances
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Description:
In this lesson, one of a multi-part unit from Illuminations, students interpret the meaning of the slope and y-intercept of a graph of real-life data. By examining the graphical representation of the data, students relate the slope and y-intercept of the least squares regression line to the real-life data. They also interpret the correlation coefficient of the resulting least squares regression line. This lesson incorporates an interactive regression line applet.
Thinkfinity Partner:
Illuminations
Grade Span:
9,10,11,12
Subject:
Mathematics
Title:
Road Rage
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Description:
In this Illuminations lesson, students use remote-controlled cars to create a system of equations. The solution of the system corresponds to the cars crashing. Multiple representations are woven together throughout the lesson, using graphs, scatter plots, equations, tables, and technological tools. Students calculate the time and place of the crash mathematically, and then test the results by crashing the cars into each other.
Thinkfinity Partner:
Illuminations
Grade Span:
9,10,11,12