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Data Analysis and Probability

Bears in a Boat

3-5, 6-8
Who can build the best boat? In this lesson, students are challenged to create aluminum foil boats that are then tested by filling them with plastic bears until they sink. The lesson serves as a fun, hands-on way to collect data. The data from two attempts is collected and used to make two class box-and-whisker plots with some surprising results.
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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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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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Algebra

Geology Rocks Equations

6-8
In this lesson, students explore linear equations with manipulatives and discover various steps used in solving equation problems. Students use blocks and counters as tactile representations to help them solve for unknown values of x.
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Measurement

A Swath of Red

6-8
A political map of the United States after the 2000 election is largely red, representing the Republican candidate, George W. Bush. However, the presidential race was nearly tied. Using a grid overlay, students estimate the area of the country that voted for the Republican candidate and the area that voted for the Democratic candidate. Students then compare the areas to the electoral and popular vote election results. Ratios of electoral votes to area are used to make generalizations about the population distribution of the United States.
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Algebra

Predicting Your Financial Future

9-12
Students often ask, “When are we ever going to use this?” Compound interest is a topic that provides an inherent answer to this question. In this activity, students use their knowledge of exponents to compute an investment’s worth using a formula and a compound interest simulator. Students also use the simulator to analyze credit card payments and debt.

 
Algebra

Extending to Symbols

6-8
In this investigation, students learn about the notion of equivalence in concrete and numerical settings. As students begin to use symbolic representations, they use variables as place holders or unknowns. This investigation illustrates the continued transition from the concrete balance view of equivalence to a more abstract view.  
Algebra

Exploring Equations

9-12
 In this lesson, students use their knowledge of weights and balance, symbolic expressions, and representations of functions to link all three concepts.
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Number and Operations

How Much Is a Million?

6-8
This lesson focuses students on the concept of 1,000,000. It allows students to see first hand the sheer size of 1 million while at the same time providing them with an introduction to sampling and its use in mathematics. Students will use grains of rice and a balance to figure out the approximate volume and weight of 1,000,000 grains of rice.
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Algebra

Balancing Algebraic Understanding

6-8
Using a balance in the classroom is a first step to algebraic understanding. Use this pan balance (numbers) applet to practice the order of operations in simplifying numerical expressions and to demonstrate the conventions of using algebraic logic in simplifying expressions.