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 Lesson Plans (30) Learning Activities (1)

## ALEX Lesson Plans

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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.

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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.

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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.

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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

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Subject: Mathematics,Science
Title: Analyze the Data
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

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Subject: Mathematics
Description: In this Illuminations lesson, students use their knowledge of exponents to compute an investment s worth using a formula and a compound interest simulator. Students also use the simulator to analyze credit card payments and debt.
Thinkfinity Partner: Illuminations

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Subject: Mathematics
Title: How Should I Move?
Description: In this Illuminations lesson, a motion detector is used to help students understand graphs and equations. Students experience constant and variable rates of change and are challenged to consider graphs where no movements are possible to create them. Multiple representations are used throughout the lesson to allow students to build their fluency with in how graphs, tables, equations, and physical modeling are connected. The lesson also allows students to investigate multiple function types, including linear, exponential, quadratic, and piecewise.
Thinkfinity Partner: Illuminations

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Subject: Mathematics
Title: Automobile Mileage: Year vs. Mileage
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

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Subject: Health,Mathematics
Title: Make a Conjecture
Description: In this lesson, one of a multi-part unit from Illuminations, students explore rates of change and accumulation in context. They are asked to think about the mathematics involved in determining the amount of blood being pumped by a heart.
Thinkfinity Partner: Illuminations

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Subject: Mathematics
Title: Linear Alignment
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

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Subject: Mathematics
Title: Graph Chart
Description: This reproducible transparency, from an Illuminations lesson, contains the answers to the similarly named student activity in which students identify the independent and dependent variables, the function, symbolic function rule and rationale for a set of graphs.
Thinkfinity Partner: Illuminations

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Subject: Mathematics
Title: Graphing What
Description: This reproducible activity sheet, from an Illuminations lesson, is used by students to record independent and dependent variables as well as the function and symbolic function rule for a set of graphs.
Thinkfinity Partner: Illuminations

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Subject: Mathematics
Title: Percent Slope Tool
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

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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

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Subject: Mathematics,Science
Title: Inclined Plane
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

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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 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

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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

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Subject: Mathematics
Title: Automobile Mileage: Comparing and Contrasting
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

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Subject: Mathematics
Title: Bathtub Water Levels
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

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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

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Subject: Mathematics
Title: Gallery Walk
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

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Subject: Health,Mathematics,Science
Title: Cardiac Output, Rates of Change, and Accumulation
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

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Subject: Mathematics
Title: Least Squares Regression
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

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Subject: Mathematics
Title: Pedal Power
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

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Subject: Mathematics
Title: Movie Lines
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

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Subject: Mathematics
Title: The Centroid and the Regression Line
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

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Subject: Mathematics
Title: The Effects of Outliers
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

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Subject: Mathematics
Title: Traveling Distances
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

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Subject: Mathematics
Title: Investigating Pick's Theorem
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

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Subject: Mathematics
Title: Rates of Change in Pick's Theorem
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