ALEX Lesson Plans
Subject: Agriculture, Food, and Natural Resources (9  12), or Mathematics (9  12) Title: Determining Percent of Seed GerminationEnhancing mathematics in the career/technical classroom and providing relevance in the mathematics classroom
Description: In this project, students will conduct an experiment to determine the percentage of seed that will germinate in a given time frame. Students will produce charts and graphs to represent the results algebraically. Mathematics and career/technical students can participate in this lab experiment together, or the activity can be conducted separately in either classroom. The mathematics teacher will want to adapt the student handouts to provide additional emphasis on mathematics and to remove emphasis on the career/technical.
This integrated lesson is the result of collaboration between Chip Blanton, an agriculture teacher, and Greg Pendergrass, a math teacher (Fort Payne HS). For information about using the eight step model for developing integrated projects developed by the Southern Regional Education Board, contact Leslie Carson at leslie.carson@sreb.org. For information about the project implementation, contact Chip Blanton (cblanton@ftpayk12.org) or Greg Pendergrass (gpendergrass@ftpayk12.org).
Subject: Mathematics (9  12) Title: Graphing is Great!
Description: Students will explore graphing individually and in groups. They will also use an interactive activity to discuss slope and intercepts. To assess the lesson, students will use the floor tiles in the classroom as a large sheet of graph paper to graph with slopes and intercepts.
Subject: Mathematics (8  12) Title: Exploring Slope
Description: The purpose of this lesson is to help students see the real world application of slope. The students will view a movie clip of slope, calculate the slope of stairs in the school building, and analyze results.This lesson plan was created as a result of the Girls Engaged in Math and Science University, GEMSU Project.
Subject: Information Literacy (K  12), or Mathematics (7  12) Title: Show Me The Money  Saving and Investing
Description: Students will learn how to analyze several savings products from various financial institutions. They will also demonstrate the ability to discuss the role of saving and investment products. This a Commerce and Information Technology lesson plan.
Subject: Mathematics (9  12), or Technology Education (9  12) Title: Explore the Transformations of Linear and Absolute Value Functions Using Graphing Utilities.
Description: This inquiry lessons allows students to explore the rigid and nonrigid transformations of linear and absolute value functions using a graphing utility. This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation..
Subject: Mathematics (6  12) Title: My Peanut Butter is Better Than Yours!
Description: The students will engage in the process of statistical data comparing data using tables and scatterplots. The students will compare data using measures of center (mean and median) and measures of spread (range). This lesson can be done with the worksheet or adapted to let the students use a graphing calculator to create their own scatter plot from the data table. This lesson is modified and adapted from Samples and Populations, Connected Math, Prentice Hall Publisher.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Subject: Mathematics (6  12) Title: Take a Hike! An exploration into finding slopes of inclines
Description: Students will work in small groups to analyze a topographical map of the Fiery Gizzard hiking trail on the Cumberland Plateau in southeastern Tennessee. They will use the map key to determine distance traveled and elevation gained to determine the slope of a short portion of the trail with a steep incline. This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Subject: Mathematics (8  12) Title: Investigating School Safety and Slope
Description: Using a 'news report' approach, students investigate the slope of various stairways on the school campus and report on wheelchair accessibility and adherence to the Americans with Disabilities Act. (PowerPoint Included) An extension of this lesson includes the critique/design of existing/nonexistent ramps.This lesson plan was created as a result of the Girls Engaged in Math and Science, GEMS Project funded by the Malone Family Foundation.
Subject: Mathematics (8  12) Title: What is the slope of the stairs in front of the school?
Description: The purpose of this lesson is to help students apply the mathematical definition of slope to a concrete example. The students will learn to make the appropriate measurements and apply the formula to calculate the slope of the stairs experimentally.
Subject: Mathematics (8  12) Title: Finding the Slope of a Line
Description: This lesson will use a slide presentation to facilitate teaching students how to find the slope of a line when given the graph of the line or two points. Students will interact with the presentation in two ways: first, by taking notes and practicing examples, and second, by linking to a slope activity on the Internet. This lesson may be done in one ninetyminute block or broken up over two fiftyminute periods. This lesson would be incorporated in a unit on graphing linear equations.
Subject: Mathematics (9  12), or Technology Education (9  12) Title: Math is Functional
Description: This lesson is a technologybased activity in which students extend graphing of linear functions to the use of spreadsheet software. After students have become proficient in constructing a table of values, students are able to efficiently graph equations with more extensive computational requirements. Furthermore, inquiry and discovery about slope and yintercept will help students conceptualize material normally presented in Algebra I textbooks.
Thinkfinity Lesson Plans
Subject: Mathematics,Science Title: Analyze the Data
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Description: In this lesson, one of a multipart unit from Illuminations, students explore rates of change and accumulation in context. They calculate concentrations and flow rates and use an interactive Java applet to graph their data. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
Subject: Mathematics Title: Linear Alignment
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Description: In this Illuminations lesson, students explore linear equations and the effects of changing the slope and yintercept on a line. It gives students exposure to y = mx + b, and can be used as an introduction to the topic. Using graphing calculators, students are challenged to overlap lines onto the sides of polygons. To achieve this goal, students change slopes and yintercepts of lines, noting observations about behavior as they work. As students change the yintercept of a line, they see it raise or lower the line. As students change the slope, they see it affect the steepness of the line. Thinkfinity Partner: Illuminations Grade Span: 6,7,8,9,10,11,12
Subject: Mathematics Title: Investigating Pick's Theorem
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Description: In this unit of three lessons, from Illuminations, students rediscover Pick's Theorem, which they were likely introduced to in middle school, and use algebra to determine the coefficients of the equation. They explore the concept of change as a mechanism for finding the coefficients of Pick's Theorem. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
Subject: Mathematics Title: Automobile Mileage: Year vs. Mileage
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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 in the resulting equation for 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 interpret them in the context of the reallife application. Students also make decisions about the age and mileage of automobiles based on the equation 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,Science Title: Inclined Plane
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Description: In this multipleday activity, from Illuminations, students time balls rolling down inclines of varying lengths and heights. They then try to make inferences about the relationships among the variables involved. Thinkfinity Partner: Illuminations Grade Span: 6,7,8
Subject: Mathematics Title: Automobile Mileage: Comparing and Contrasting
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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
Subject: Health,Mathematics,Science Title: Cardiac Output, Rates of Change, and Accumulation
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Description: In this unit of four lessons, from Illuminations, students explore the measurement of the amount of blood being pumped by a heart. The measurement is based upon two common problems: (1) a flow rate and accumulation problem and (2) a concentration problem. 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 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
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: The Effects of Outliers
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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
Subject: Mathematics Title: Movie Lines
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Description: This Illuminations lesson allows students to apply their knowledge of linear equations and graphs in an authentic situation. Students plot data points corresponding to the cost of DVD rentals and interpret the results. 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 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
Subject: Mathematics Title: How Did I Move?
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Description: In this Illuminations lesson, students are provided with a method for understanding that for y = mx + b, m is a rate of change and b is the value when x = 0. This kinesthetic activity allows students to form a physical interpretation of slope and yintercept by running across a football field. Students will be able to verbalize the meaning of the equation to reinforce understanding and discover that slope (or rate of movement) is the same for all sets of points given a set of data with a linear relationship. Thinkfinity Partner: Illuminations Grade Span: 6,7,8,9,10,11,12
Subject: Mathematics Title: Apple Pie Recording Chart
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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
Subject: Mathematics Title: Think of a Graph
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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
Subject: Mathematics Title: Movement with Functions
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Description: In this unit of 3 lessons from Illuminations, students use movement to reinforce the concepts of linear functions and systems of equations. Multiple representations are used throughout, along with tools such as motion detectors and remotecontrolled cars. Students explore how position, speed, and varying motion are reflected in graphs, tables, and algebraic equations. Thinkfinity Partner: Illuminations Grade Span: 6,7,8,9,10,11,12
Subject: Mathematics,Science Title: Using Graphs, Equations, and Tables to Investigate the Elimination of Medicine from the Body: Modeling the Situation
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Description: This threepart eexample from Illuminations illustrates the use of iteration, recursion, and algebra to model and analyze the changing amount of medicine in an athlete's body. This example includes: (1) an interactive environment used to become familiar with the parameters involved and the range of results that can be obtained, (2) an interactive environment used to investigate how changing parameter values affects the stabilization level of medicine in the body, and (3) an interactive graphical analysis that provides a visual interpretation of the results. eMath Investigations are selected eexamples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The eexamples are part of the electronic version of the PSSM document. Given their interactive nature and focused discussion tied to the PSSM document, the eexamples are natural companions to the iMath investigations. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
Subject: Mathematics Title: Least Squares Regression
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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
Subject: Mathematics Title: The Centroid and the Regression Line
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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 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,Science Title: Smokey Bear Takes Algebra
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Description: In this lesson, from Illuminations, students learn about the many factors that play a role in creating a forestfire danger rating index. They work with the Angstrom and Nesterov Indexes, explain the relationship between relative humidity and fire danger, and use graphing calculators to model the relationship between the slope of the land versus the rate of fire spread. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
Subject: Mathematics Title: Rates of Change in Pick's Theorem
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Description: In this lesson, one of a multipart unit from Illuminations, students use a spreadsheet to investigate rates of change among various figures created on a geoboard. The coefficients of Pick s Theorem are easily determined from these rates of change. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
Subject: Mathematics Title: Supply and Demand
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Description: This Illuminations lesson focuses on having students create and solve a system of linear equations in a realworld setting. By solving the system, students find the equilibrium point for supply and demand. Students should be familiar with finding linear equations from two points or slope and yintercept. 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 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
Subject: Mathematics,Science Title: Finding Our Top Speed
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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
Subject: Mathematics Title: Pedal Power
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Description: In this Illuminations lesson, students compare, contrast, and make conjectures based on distancetime graphs for three bicyclists climbing to the top of a mountain. They determine the slopes of the graphs and interpret them as rates of change. Thinkfinity Partner: Illuminations Grade Span: 9,10,11,12
Subject: Mathematics Title: Gallery Walk
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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
Subject: Mathematics Title: Percent Slope Tool
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Description: This reproducible activity, from an Illuminations lesson, provides a template by which students can create a tool for calculating the slope of realworld inclines. Thinkfinity Partner: Illuminations Grade Span: 6,7,8

