ALEX Lesson Plans
Save to ALEX 
Share

Show Details
Title: Statistically Thinking
Description:
The object of this project is for students to learn how to find univariate and bivariate statistics for sets of data. Also, the students will be able to determine if two sets of data are linearly correlated and to what degree. The students will use Microsoft PowerPoint and Excel to find, organize, and present their projects to the class.
Standard(s): [MA2015] ALC (912) 12: Create a model of a set of data by estimating the equation of a curve of best fit from tables of values or scatter plots. (Alabama)
Subject: Mathematics (7  12)
Title: Statistically Thinking
Description: The object of this project is for students to learn how to find univariate and bivariate statistics for sets of data. Also, the students will be able to determine if two sets of data are linearly correlated and to what degree. The students will use Microsoft PowerPoint and Excel to find, organize, and present their projects to the class.
Thinkfinity Lesson Plans
Save to ALEX 
Share

Show Details
Title: Think of a Graph
Description:
This reproducible transparency, from an Illuminations lesson, asks students to sketch a graph in which the side length of a square is graphed on the horizontal axis and the perimeter of the square is graphed on the vertical axis.
Standard(s): [MA2015] ALC (912) 12: Create a model of a set of data by estimating the equation of a curve of best fit from tables of values or scatter plots. (Alabama)
Subject: Mathematics Title: Think of a Graph
Description: This reproducible transparency, from an Illuminations lesson, asks students to sketch a graph in which the side length of a square is graphed on the horizontal axis and the perimeter of the square is graphed on the vertical axis. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
Save to ALEX 
Share

Show Details
Title: Count on Math
Description:
In this unit of two lessons, from Illuminations, students develop number sense through activities involving collection, representation, and analysis of data. In addition, students practice reading and writing large numbers and use estimation to arrive at appropriate answers.
Standard(s): [MA2015] AL1 (912) 43: Interpret differences in shape, center, and spread in the context of the data sets, accounting for possible effects of extreme data points (outliers). [SID3]
Subject: Mathematics Title: Count on Math
Description: In this unit of two lessons, from Illuminations, students develop number sense through activities involving collection, representation, and analysis of data. In addition, students practice reading and writing large numbers and use estimation to arrive at appropriate answers. Thinkfinity Partner: Illuminations Grade Span: 3,4,5,6,7,8
Save to ALEX 
Share

Show Details
Title: Finding Our Top Speed
Description:
This Illuminations lesson sets the stage for a discussion of travel in the solar system. By considering a realworld, handson activity, students develop their understanding of time and distance. The mathematics necessary for the lesson relate to measuring time and distance as well as graphing to portray the data collected.
Standard(s): [MA2015] AL1 (912) 46: Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. [SID7]
Subject: Mathematics,Science Title: Finding Our Top Speed
Description: This Illuminations lesson sets the stage for a discussion of travel in the solar system. By considering a realworld, handson activity, students develop their understanding of time and distance. The mathematics necessary for the lesson relate to measuring time and distance as well as graphing to portray the data collected. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
Save to ALEX 
Share

Show Details
Title: Apple Pie Recording Chart
Description:
This reproducible activity sheet, from an Illuminations lesson, prompts students to use strings and rulers to measure and record the distance around several round objects, as well as the distance across the middle of those objects.
Standard(s): [MA2015] AL1 (912) 46: Interpret the slope (rate of change) and the intercept (constant term) of a linear model in the context of the data. [SID7]
Subject: Mathematics Title: Apple Pie Recording Chart
Description: This reproducible activity sheet, from an Illuminations lesson, prompts students to use strings and rulers to measure and record the distance around several round objects, as well as the distance across the middle of those objects. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
Save to ALEX 
Share

Show Details
Title: Automobile Mileage: Age vs. Mileage
Description:
In this lesson, one of a multipart unit from Illuminations, students plot data about automobile mileage and interpret the meaning of the slope and yintercept of the least squares regression line. By examining the graphical representation of the data, students analyze the meaning of the slope and yintercept of the line and put those meanings in the context of the reallife application. This lesson incorporates an interactive regression line applet.
Standard(s):
Subject: Mathematics Title: Automobile Mileage: Age vs. Mileage
Description: In this lesson, one of a multipart unit from Illuminations, students plot data about automobile mileage and interpret the meaning of the slope and yintercept of the least squares regression line. By examining the graphical representation of the data, students analyze the meaning of the slope and yintercept of the line and put those meanings in the context of the reallife application. This lesson incorporates an interactive regression line applet. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
Save to ALEX 
Share

Show Details
Title: Automobile Mileage: Comparing and Contrasting
Description:
In this lesson, one of a multipart 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.
Standard(s): [MA2015] ALT (912) 33: Write a function that describes a relationship between two quantities.* [FBF1]
Subject: Mathematics Title: Automobile Mileage: Comparing and Contrasting
Description: In this lesson, one of a multipart 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
Save to ALEX 
Share

Show Details
Title: Bathtub Water Levels
Description:
In this lesson, one of a multipart unit from Illuminations, students examine reallife data that illustrates a negative slope. Students interpret the meaning of the negative slope and yintercept of the graph of the reallife data. By examining the graphical representation of the data, students relate the slope and yintercept of the least squares regression line to the reallife data. They also interpret the correlation coefficient of the least squares regression line. This lesson incorporates an interactive regression line applet.
Standard(s): [MA2015] ALT (912) 33: Write a function that describes a relationship between two quantities.* [FBF1]
Subject: Mathematics Title: Bathtub Water Levels
Description: In this lesson, one of a multipart unit from Illuminations, students examine reallife data that illustrates a negative slope. Students interpret the meaning of the negative slope and yintercept of the graph of the reallife data. By examining the graphical representation of the data, students relate the slope and yintercept of the least squares regression line to the reallife 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
Save to ALEX 
Share

Show Details
Title: Exploring Linear Data
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.
Standard(s): [MA2015] ALT (912) 33: Write a function that describes a relationship between two quantities.* [FBF1]
Subject: Mathematics Title: Exploring Linear Data
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
Save to ALEX 
Share

Show Details
Title: Gallery Walk
Description:
In this lesson, one of a multipart unit from Illuminations, students view the work of other students in the class and explain their own work. Students move from graph to graph during this time and, without any talking, view the work of their classmates. While on their Gallery Walk, the students think about the data their classmates plotted and whether or not the information accompanying each graph seems appropriate. Each pair of students then stands next to their own work and explains one of the graphs.
Standard(s): [MA2015] ALT (912) 33: Write a function that describes a relationship between two quantities.* [FBF1]
Subject: Mathematics Title: Gallery Walk
Description: In this lesson, one of a multipart unit from Illuminations, students view the work of other students in the class and explain their own work. Students move from graph to graph during this time and, without any talking, view the work of their classmates. While on their Gallery Walk, the students think about the data their classmates plotted and whether or not the information accompanying each graph seems appropriate. Each pair of students then stands next to their own work and explains one of the graphs. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
Save to ALEX 
Share

Show Details
Title: Least Squares Regression
Description:
In this ninelesson unit, from Illuminations, students interpret the slope and yintercept of least squares regression lines in the context of reallife 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.
Standard(s): [MA2015] ALT (912) 33: Write a function that describes a relationship between two quantities.* [FBF1]
Subject: Mathematics Title: Least Squares Regression
Description: In this ninelesson unit, from Illuminations, students interpret the slope and yintercept of least squares regression lines in the context of reallife 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
Save to ALEX 
Share

Show Details
Title: Mathematics as Communication
Description:
This lesson, from Illuminations, focuses on interpreting and creating graphs that are functions of time. Students complete four activity sheets that focus on graphs of time vs. speed and how many times an event occurred in a specific amount of time.
Standard(s): [MA2015] AL1 (912) 45: Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. [SID6]
Subject: Mathematics Title: Mathematics as Communication
Description: This lesson, from Illuminations, focuses on interpreting and creating graphs that are functions of time. Students complete four activity sheets that focus on graphs of time vs. speed and how many times an event occurred in a specific amount of time. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
Save to ALEX 
Share

Show Details
Title: Bouncing Tennis Balls
Description:
In this lesson, from Illuminations, students develop their skills in collecting and recording data using the realworld situation of a bouncing tennis ball. They use the data collected to formulate the relationship between the dependent and independent variable in their experiment.
Standard(s): [MA2015] (8) 25: Construct and interpret scatter plots for bivariate measurement data to investigate patterns of association between two quantities. Describe patterns such as clustering, outliers, positive or negative association, linear association, and nonlinear association. [8SP1]
Subject: Mathematics Title: Bouncing Tennis Balls
Description: In this lesson, from Illuminations, students develop their skills in collecting and recording data using the realworld situation of a bouncing tennis ball. They use the data collected to formulate the relationship between the dependent and independent variable in their experiment. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
Save to ALEX 
Share

Show Details
Title: Printing Books
Description:
In this lesson, from Illuminations, students explore the relationships among lines, slopes, and yintercepts using the realworld situation of the printing of their textbook. They use data presented in tables, graphs, and equation form for problemsolving.
Standard(s): [MA2015] (8) 27: Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. [8SP3]
Subject: Mathematics Title: Printing Books
Description: In this lesson, from Illuminations, students explore the relationships among lines, slopes, and yintercepts using the realworld situation of the printing of their textbook. They use data presented in tables, graphs, and equation form for problemsolving. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
Save to ALEX 
Share

Show Details
Title: Taking Its Toll
Description:
In this Illuminations lesson, students compare the price of a toll to the distance traveled. Students investigate data numerically and graphically to determine the permile charge, and they predict the cost if a new tollbooth were added along the route.
Standard(s): [MA2015] (8) 27: Use the equation of a linear model to solve problems in the context of bivariate measurement data, interpreting the slope and intercept. [8SP3]
Subject: Mathematics Title: Taking Its Toll
Description: In this Illuminations lesson, students compare the price of a toll to the distance traveled. Students investigate data numerically and graphically to determine the permile charge, and they predict the cost if a new tollbooth were added along the route. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
Save to ALEX 
Share

Show Details
Title: The Effects of Outliers
Description:
This lesson, one of a multipart 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 computerbased interactive tool. Using the Regression Line Applet, students investigate the effect of outliers on a regression line and easily see their significance.
Standard(s): [MA2015] PRE (912) 44: Understand statistics as a process for making inferences about population parameters based on a random sample from that population. [SIC1]
Subject: Mathematics Title: The Effects of Outliers
Description: This lesson, one of a multipart 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 computerbased 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
Save to ALEX 
Share

Show Details
Title: Traveling Distances
Description:
In this lesson, one of a multipart unit from Illuminations, students interpret the meaning of the slope and yintercept of a graph of reallife data. By examining the graphical representation of the data, students relate the slope and yintercept of the least squares regression line to the reallife data. They also interpret the correlation coefficient of the resulting least squares regression line. This lesson incorporates an interactive regression line applet.
Standard(s): [MA2015] ALT (912) 33: Write a function that describes a relationship between two quantities.* [FBF1]
Subject: Mathematics Title: Traveling Distances
Description: In this lesson, one of a multipart unit from Illuminations, students interpret the meaning of the slope and yintercept of a graph of reallife data. By examining the graphical representation of the data, students relate the slope and yintercept of the least squares regression line to the reallife 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
Save to ALEX 
Share

Show Details
Title: Building Bridges
Description:
In this lesson, from Illuminations, students attempt to make a transition from arithmetical to algebraic thinking by extending from problems that have singlesolution responses. Values organized into tables and graphs are used to move toward symbolic representations. Problem situations involving linear, quadratic, and exponential models are employed.
Standard(s): [MA2015] AL1 (912) 45: Represent data on two quantitative variables on a scatter plot, and describe how the variables are related. [SID6]
Subject: Mathematics,Professional Development Title: Building Bridges
Description: In this lesson, from Illuminations, students attempt to make a transition from arithmetical to algebraic thinking by extending from problems that have singlesolution responses. Values organized into tables and graphs are used to move toward symbolic representations. Problem situations involving linear, quadratic, and exponential models are employed. Thinkfinity Partner: Illuminations Grade Span: 6,7,8

