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Thinkfinity Lesson Plans
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:
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:
Isosceles Triangle Investigation
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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:
Illuminations
Grade Span:
9,10,11,12
Subject:
Mathematics,Science
Title:
Sound Wave
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Description:
This student interactive, from Illuminations, helps students understand the mathematical models used to represent sound. Students come to understand the origins of the terms pitch, tone, frequency, and intensity, as well as explore the dynamics of a sound wave.
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,Science
Title:
Whelk-Come to Mathematics
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Description:
In this four-lesson unit, from Illuminations, students make a conjecture, conduct an experiment, analyze data and work to a conclusion using rational functions to investigate the behavior of Northwestern Crows. Sea gulls and crows feed on various types of mollusks by lifting them into the air and dropping them onto a rock to break open their shells. 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.
Thinkfinity Partner:
Illuminations
Grade Span:
9,10,11,12
Subject:
Mathematics,Science
Title:
Northwestern Crows
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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:
Illuminations
Grade Span:
9,10,11,12
Subject:
Mathematics,Science
Title:
Conduct an Experiment
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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:
Illuminations
Grade Span:
9,10,11,12
Subject:
Mathematics,Science
Title:
Do You Hear What I Hear?
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Description:
In this lesson, from Illuminations, students explore the dynamics of a sound wave. Students use an interactive Java applet to view the effects of changing the initial string displacement and the initial tension.
Thinkfinity Partner:
Illuminations
Grade Span:
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: 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
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