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Data Analysis and Probability

The Brew Master

9-12
Students develop a delicious new drink by mixing various concentrations of a two-fold dilution series. Students calculate the percents of their mixtures, taste these differences, and visually observe their results.
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Measurement

Walk to the Movies

6-8, 9-12
In this lesson students measure their speed walking in a hallway and predicting how long it takes them to get to the local movie theater 3 miles away. This is an open-ended problem in which students must develop a strategy on how to collect the data, how to convert the data to MPH, and finally make a prediction. In addition to reasoning skills, students will practice unit conversion, prediction, proportions, and graphing.
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Measurement

What's My Area?

3-5
Using an area tool on the computer, students will begin to develop an understanding of area. Students will use 12" × 12" paper squares to measure the area of a door. They will determine whether area increases or decreases as the length or width of their door changes.
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Algebra

What's the Function?

9-12
This activity allows students to look for functions within a given set of data. After analyzing the data, students should be able to determine what type of function best represents the data.
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Geometry

Axonometry: Applying Complex Numbers to Art

9-12
In this lesson, students examine and draw representations of cubes and then learn how to analyze these representations using complex numbers. Students use what they know about operations on complex numbers to see if a drawing is an accurate representation of a cube. They also learn how to generate complex numbers that will produce such representations. 
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Measurement

Get the Turtle to the Pond

Pre-K-2
This activity provides opportunities for creative problem solving while encouraging young students to estimate length and angle measure. Using the Turtle Pond Applet, students enter a sequence of commands to help the turtle get to the pond. Children can write their own solutions using LOGO commands and input them into the computer. The turtle will then move and leave a trail or path according to the instructions given.
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Data Analysis and Probability

Pantalones Cortos y Camisas

3-5
Los estudiantes son inspirados a descubrir todas las combinaciones posibles de trajes que consisten de pantalones cortos y camisas. Los estudiantes ejercitan actividades para resolver problemas (incluyendo eliminacion y coleccion de datos organizados) a hacer sus conclusiones.
LPgeneric
Data Analysis and Probability

Work to a Conclusion

9-12
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. The crows appear to be selective; they pick up only large-sized whelks. They are also persistent. For instance, one crow was observed to drop a single whelk 20 times. Scientists have suggested that this behavior is an example of decision-making in optimal foraging.
LPgeneric
Data Analysis and Probability

The Regression Line

9-12
Interactive computer-based tools provide students with the opportunity to easily investigate the relationship between a set of data points and a curve used to fit the data points. As students work with bivariate data in grades 9-12, they will be able to investigate relationships between the variables using linear, exponential, power, logarithmic, and other functions for curve fitting. Using interactive tools like the one below, students can investigate the properties of regression lines and correlation.
LPgeneric
Data Analysis and Probability

The Effects of Outliers

9-12
Interactive computer-based tools provide students with the opportunity to easily investigate the relationship between a set of data points and a curve used to fit the data points. As students work with bivariate data in grades 9-12, they will be able to investigate relationships between the variables using. Using interactive tools like the one below, students can investigate the properties of regression lines and correlation.