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ALEX Lesson Plan Resources
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ALEX Lesson Plans
Subject:
Agriculture, Food, and Natural Resources (9 - 12), or Mathematics (9 - 12)
Title:
Determining Percent of Seed Germination-Enhancing 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, GEMS-U Project.
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 ninety-minute block or broken up over two fifty-minute 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 technology-based 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 y-intercept 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 multi-part 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:
Automobile Mileage: Year 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 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 y-intercept of the line and interpret them in the context of the real-life 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
Title:
Linear Alignment
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Description:
In this Illuminations lesson, students explore linear equations and the effects of changing the slope and y-intercept 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 y-intercepts of lines, noting observations about behavior as they work. As students change the y-intercept 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:
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 real-world inclines.
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,Science
Title:
Inclined Plane
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Description:
In this multiple-day 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,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 real-world, hands-on 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:
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:
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:
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:
Gallery Walk
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Description:
In this lesson, one of a multi-part 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:
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:
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,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 three-part e-example 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. e-Math Investigations are selected e-examples from the electronic version of the Principles and Standards of School Mathematics (PSSM). The e-examples are part of the electronic version of the PSSM document. Given their interactive nature and focused discussion tied to the PSSM document, the e-examples are natural companions to the i-Math investigations.
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 real-world 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 y-intercept.
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 forest-fire 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:
Pedal Power
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Description:
In this Illuminations lesson, students compare, contrast, and make conjectures based on distance-time 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:
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:
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:
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 remote-controlled 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
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 y-intercept 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:
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:
Rates of Change in Pick's Theorem
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Description:
In this lesson, one of a multi-part 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