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Data Analysis and Probability

What Are My Chances?

6-8
Students will conduct five experiments through stations to compare theoretical and experimental probability. The class data will be combined to compare with previously established theoretical probability. 
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Data Analysis and Probability

Probably Graphing

6-8
Student will conduct a coin tossing experiment for 30 trials.  Their results will be graphed and shows a line graph that progresses toward the theoretical probability.  The graph will also allow for a representation of heads or tails throughout the experiment.
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Measurement

Cubed Cans

6-8
In this lesson, students will use formulas they have explored for the volume of a cylinder and convert them into the same volume for rectangular prisms while trying to minimize the surface area. Various real world cylindrical objects will be measured and converted into a prism to hold the same volume.  As an extension, students may design and create a rectangular prism container according to their dimensions to compare and contrast with the cylinder.
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Measurement

Fishing for the Best Prism

6-8, 9-12
In this lesson, students use polydrons to create nets of rectangular prisms. They discover that there are many configurations for rectangular prisms with the same volume, and determine that certain configurations minimize surface area. The lesson continues in a discovery activity related to building the most cost-efficient and appealing fish tank.
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Measurement

Popcorn, Anyone?

6-8, 9-12
This lesson can be used for students to discover the relationship between dimension and volume. Students create two rectangular prisms and two cylinders to determine which holds more popcorn. Students then justify their observation by analyzing the formulas and identifying the dimension(s) with the largest impact on the volume.
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Data Analysis and Probability

Amazing Profit

6-8
Students use equations to determine eBay profit on new technology.  EBay is an online auction agency.  For a limited time after a “new” product’s street release date, it is possible to track the profit that sellers make for auctioning them on eBay.  Students use previous data of selling prices to derive a linear equation for the “closing bid price” on a product.
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Number and Operations

Exploring Krypto

3-5, 6-8
The rules of Krypto are amazingly simple — combine five numbers using the standard arithmetic operations to create a target number. Finding a solution to one of the more than 3 million possible combinations can be quite a challenge, but students love it. And you’ll love that the game helps to develop number sense, computational skill, and an understanding of the order of operations.
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Number and Operations

The Cost of Being Late

6-8
We are bombarded in the media with ads offering 0% interest or teaser rates of 2.9%.  These ads are devised to entice us to sign up for these limited time offers that the companies tell us would be crazy to miss. The goal of these ads is to get us to use credit to buy on impulse. If we take the time to analyze the offer, we might realize that if it sounds too good to be true, then it probably is. In this lesson, students will work through a credit card scenario with a teaser rate, minimum payments, fees, and rate increases for being late.
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Number and Operations

Invest in Your Education

6-8, 9-12
In this lesson, students purchase the common items used in their mathematics classroom such as desks, chairs, calculators, manipulatives, etc. They are given a budget that they must work within plus coupons that they must use when making their purchases. The lesson lets students have fun while applying the concepts of discount and percent. Since students use a purchase register to track their purchases, it also serves as a review of integer operations.
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Data Analysis and Probability

There is a Difference: Histograms vs. Bar Graphs

3-5, 6-8
Using data from the Internet, students summarize information about party affiliation and ages at inauguration of Presidents of the United States in frequency tables and graphs.  This leads to a discussion about categorical data (party affiliations) vs. numerical data (inauguration ages) and histograms vs bar graphs.