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ALEX Lesson Plan Resources
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ALEX Lesson Plans
Subject:
Mathematics (9 - 12)
Title:
It's All in the Family
Description:
Students will be motivated to learn how to build new linear functions from existing linear functions. Students will bring pictures of themselves and their parents from home to personally involve them in the lesson. Students will learn to use the patterns inherent in functions to quickly and accurately graph linear functions. This lesson will only deal with vertical shifts and the steepness of the line. Horizontal shifts will be dealt with in future lessons. In addtion, in future lessons students will transfer this knowledge to also graph exponential, quadratic, and absolute value functions. This is a College- and Career-Ready Standards showcase lesson plan.
Subject:
Mathematics (9 - 12)
Title:
Exponential Growth and Decay
Description:
This lesson on exponential growth and decay involves a variety of teaching resources. There are a variety of websites used to teach and reinforce how to identify exponential growth or decay and how to solve problems relating to growth and decay. There is a lab provided that will help model these concepts being taught and computer based practice on these concepts. Videos are provided that give a picture image of how exponential growth and decay works. 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 (9 - 12), or Technology Education (9 - 12)
Title:
Creating a Payroll Spreadsheet
Description:
Spreadsheet software allows you to calculate numbers arranged in rows and columns for specific financial tasks. This activity allows students to create an "Employee Work/Pay Schedule" spreadsheet to reinforce spreadsheet skills. Students will practice spreadsheet skills by entering data, creating formulas, and using formatting commands.
Subject:
Mathematics (6 - 12)
Title:
Swimming Pool Math
Description:
Students will use a swimming pool example to practice finding perimeter and area of different rectangles.
Thinkfinity Lesson Plans
Subject:
Mathematics,Science
Title:
Numerical Analysis
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Description:
In this lesson, one of a multi-part unit from Illuminations, students use iteration, recursion, and algebra to model and analyze a changing fish population. They use an interactive spreadsheet application to investigate their models.
Thinkfinity Partner:
Illuminations
Grade Span:
9,10,11,12
Subject:
Mathematics
Title:
Exact Ratio
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Description:
This reproducible activity sheet, from an Illuminations lesson, features a series of questions pertaining to exact ratios and geometric sequences. In the lesson, students measure lengths on stringed musical instruments and discuss how the placement of frets on a fretted instrument is determined by a geometric sequence.
Thinkfinity Partner:
Illuminations
Grade Span:
9,10,11,12
Subject:
Health,Mathematics
Title:
Make a Conjecture
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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 are asked to think about the mathematics involved in determining the amount of blood being pumped by a heart.
Thinkfinity Partner:
Illuminations
Grade Span:
9,10,11,12
Subject:
Mathematics
Title:
Counting Embedded Figures
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Description:
In this Illuminations lesson, students look for patterns in an embedded-square problem. After looking at the patterns, students form generalizations for the pattern. This activity sharpens students algebraic thinking and visualization skills.
Thinkfinity Partner:
Illuminations
Grade Span:
6,7,8
Subject:
Mathematics
Title:
Graph Chart
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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
Grade Span:
9,10,11,12
Subject:
Mathematics
Title:
Graphing What
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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
Grade Span:
9,10,11,12
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:
Flowing Through Mathematics
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Description:
This student interactive, from Illuminations, simulates water flowing from a tube through a hole in the bottom. The diameter of the hole can be adjusted and data can be gathered for the height or volume of water in the tube at any time.
Thinkfinity Partner:
Illuminations
Grade Span:
9,10,11,12
Subject:
Mathematics
Title:
Tube Viewer Simulation
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Description:
This student interactive, from Illuminations, simulates the effect of viewing an image through a tube. As students move the location of the person or change the length of the tube, the image and measurements also change.
Thinkfinity Partner:
Illuminations
Grade Span:
9,10,11,12
Subject:
Mathematics
Title:
Armstrong Numbers
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Description:
In this Illuminations lesson, students explore Armstrong numbers, identify all Armstrong numbers less than 1000, and investigate a recursive sequence that uses a similar process. Throughout the lesson, students use spreadsheets or other technology. There are also links to online activities and other related resources.
Thinkfinity Partner:
Illuminations
Grade Span:
6,7,8,9,10,11,12
Subject:
Mathematics
Title:
Shrinking Candles, Running Water, Folding Boxes
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Description:
This lesson, from Illuminations, allows students to look for functions within a given set of data. After analyzing the data, the students should be able to determine the type of function that represents the data.
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:
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:
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,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:
Two Terrains
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Description:
In this interactive from Illuminations, students learn about ratios while identifying the best path for a vehicle, depending on whether it has better on‑road or off‑road performance.
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,Professional Development
Title:
Building Bridges
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Description:
In this lesson, from Illuminations, students attempt to make a transition from arithmetical to algebraic thinking by extending from problems that have single-solution 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