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Geometry

Joking with Proofs

9-12
In the same way that supporting statements are used to reach a conclusion in a paragraph-style proof, students modify a cliché or common phrase to use as a punch line to a humorous story. This lesson works well in aiding in the transition from two-column proofs to paragraph-style proofs.
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Data Analysis and Probability

Polish Notation

9-12
Students sometimes have difficulty using the order of operations when evaluating expressions. By converting these expressions into binary expression trees before evaluating them, students gain a better understanding of the order of operations. In addition, students learn to represent algebraic expressions using prefix notation, which is often called "Polish Notation," because of the nationality of its inventor, Polish logician Jan Łukasiewicz.
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Number and Operations

Who Lost More?

6-8
In this lesson, students analyze ways for calculating weight loss. Students compare the results and choose the method they consider to be the best and most fair.
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Algebra

Drug Filtering

9-12
In this lesson, students observe a model of exponential decay, and how kidneys filter their blood. They will calculate the amount of a drug in the body over a period of time. Then, they will make and analyze the graphical representation of this exponential function.
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Measurement

Fill 'Er Up

6-8
In this lesson, students use an interactive applet to investigate the formula for the volume of a rectangular prism. Students will construct two origami boxes and use centimeter cubes to measure and compare the volume of the boxes. Students will also analyze how changing the dimensions of the prism affects its volume.
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Measurement

In Search of Perfect Squares

6-8
In this lesson, students use geoboards to explore the relationships between the area of a square and its side length. They also gain a numeric and geometric understanding of squaring a number and envision what the square root of a number looks like.
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Measurement

How Irrational!

6-8
In this lesson, students use geoboards to construct non-traditional, "tilted" squares whose side lengths are irrational numbers. This lesson addresses standards in both Number Sense and Measurement.
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Geometry

What’s Regular About Tessellations?

6-8
In this lesson, students explore regular and semi-regular tessellations. Students use manipulatives to discover which regular polygons will tessellate and which will not. Students will use geometry and measurement to investigate the three regular and eight semi-regular tessellations.
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Measurement

Weighing Your Car

6-8
In this lesson, students learn how to measure the area of the tire footprint on a car and to find air pressure using a tire gauge. Students then find the weight of the car using their fraction multiplication skills.
Number and Operations

Now and Then

6-8
In this activity, students work in groups as contestants on a fictitious game show, Now and Then. They use their knowledge of percent computations and percent change to answer each game show question. As a culminating activity, the students create their own game show and host it in front of the rest of the class.