ALEX Lesson Plans 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.Subject: Mathematics (9 - 12), or Technology Education (9 - 12) Title: You Mean ANYTHING To The Zero Power Is One? Description: This lesson is a technology-based project to reinforce concepts related to the Exponential Function. It can be used in conjunction with any textbook practice set. Construction of computer models of several Exponential Functions will promote meaningful learning rather than memorization. Thinkfinity Lesson Plans Subject: MathematicsTitle: Counting Embedded Figures      Add Bookmark 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: IlluminationsGrade Span: 6,7,8Subject: MathematicsTitle: Graph Chart      Add Bookmark 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: IlluminationsGrade Span: 9,10,11,12Subject: MathematicsTitle: Graphing What       Add Bookmark 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: IlluminationsGrade Span: 9,10,11,12Subject: MathematicsTitle: Isosceles Triangle Investigation       Add Bookmark Description: This student interactive, from an Illuminations lesson, allows students to investigate the relationship between the area of the triangle and the length of its base.Thinkfinity Partner: IlluminationsGrade Span: 9,10,11,12Subject: MathematicsTitle: Tube Viewer Simulation      Add Bookmark 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: IlluminationsGrade Span: 9,10,11,12Subject: Mathematics,ScienceTitle: Northwestern Crows      Add Bookmark Description: In this lesson, one of a multi-part unit from Illuminations, students use rational functions to investigate the feeding behavior of Northwestern Crows. Biologists have observed that northwestern crows consistently drop a type of mollusk called a whelk from a mean height of about 5 meters. Students investigate the relationship between the height of the drop and the number of drops by viewing a video clip; then, they plan a classroom experiment to model the dropping of whelks in order to collect and analyze data.Thinkfinity Partner: IlluminationsGrade Span: 9,10,11,12Subject: Mathematics,ScienceTitle: Conduct an Experiment      Add Bookmark Description: In this lesson, one of a multi-part unit from Illuminations, students use rational functions to investigate the feeding behavior of Northwestern Crows. Biologists have observed that northwestern crows consistently drop a type of mollusk called a whelk from a mean height of about 5 meters. Students investigate whether the crows minimize their work by dropping whelks as they do. The amount of work depends upon the height of the drop and the number of times the crow has to fly to this height. To answer the question, students explore the relationship between the height of the drop and the number of drops needed.Thinkfinity Partner: IlluminationsGrade Span: 9,10,11,12Subject: MathematicsTitle: Automobile Mileage: Comparing and Contrasting      Add Bookmark 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: IlluminationsGrade Span: 9,10,11,12Subject: MathematicsTitle: Bathtub Water Levels      Add Bookmark 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: IlluminationsGrade Span: 9,10,11,12Subject: MathematicsTitle: Exploring Linear Data      Add Bookmark 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: IlluminationsGrade Span: 6,7,8,9,10,11,12Subject: MathematicsTitle: Gallery Walk      Add Bookmark 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: IlluminationsGrade Span: 9,10,11,12Subject: MathematicsTitle: Least Squares Regression      Add Bookmark 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: IlluminationsGrade Span: 9,10,11,12Subject: MathematicsTitle: The Centroid and the Regression Line      Add Bookmark 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: IlluminationsGrade Span: 9,10,11,12Subject: MathematicsTitle: The Effects of Outliers      Add Bookmark 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: IlluminationsGrade Span: 9,10,11,12Subject: MathematicsTitle: Traveling Distances      Add Bookmark 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: IlluminationsGrade Span: 9,10,11,12