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Data Analysis and Probability

Automobile Mileage: Year vs. Mileage

9-12
In this lesson, 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.
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Data Analysis and Probability

Automobile Mileage: Age vs. Mileage

9-12

In this lesson, 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.

The activity is very similar to that in Lesson Five of this Unit Plan. However, by graphing the data in a different format, the students will produce a line with a positive slope in this activity, while the line in Lesson Five had a negative slope. Doing both lessons allows students to investigate how changing the independent variable affects the resulting graph and equation.

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Data Analysis and Probability

Automobile Mileage: Years Since 1990 vs. Mileage

9-12
This lesson is a third representation of the automobile mileage data used in Lessons Five and Six of this Unit Plan. This lesson provides another opportunity for the students to analyze how changing the independent variable in a set of data can result in a different least squares regression line. Students can then use the new equation to make some of the same predictions they made in Lessons
Five and Six.
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Data Analysis and Probability

Automobile Mileage: Comparing and Contrasting

9-12
In this lesson, students compare and contrast their findings in Lessons Five, Six, and Seven of this Unit Plan. This lesson allows students the time they need to think about and discuss what they have done in the previous lessons. This lesson will provide the teacher with another opportunity to listen to student discourse and assess student understanding.
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Geometry

Study the Solids

3-5
In this interactive geometry investigation, students explore geometric solids and their properties. Specifically, students count the number of faces, edges, and corners (vertices) in various solids.
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Geometry

Looking for Patterns

3-5
Students discover Euler's Formula, a way of calculating the number of faces, edges, and vertices of geometric solids.
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Geometry

Construct a Solid

3-5
Students construct physical models of geometric solids.
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Geometry

Making A Shape Jacket

3-5
Students identify which geometric solids can be made from given nets. Students also create nets for common geometric solids.
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Data Analysis and Probability

Paper Pool Game

6-8
The paper pool game provides an opportunity for students to develop their understanding of ratio, proportion, greatest common divisor, and least common multiple.
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Data Analysis and Probability

Look for Patterns

6-8
The interactive paper pool game in this i-Math investigation provides an opportunity for students to further develop their understanding of ratio, proportion, and least common multiple.