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The Boxes Go Mobile
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Learners display their findings after a study of surface area and volume. They build a mobile to show a commercially available box and a constructed cubical box of the same volume.

Comparing the Density of an Object to the Density of Water
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Learners compare the weight of equal volumes of wax, water, and clay. Learners discover that since the wax weighs less than an equal volume of water, it is less dense than water and will float.

Incredible Shrinking Shapes
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In this activity, learners get hands-on experience with ratios and scaling while making their own jewelry out of recycled plastic containers.

Inverse Functions: Pennies, Pressure, Temperature, and Light
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The major goal of this math lesson is to have learners collect data from a variety of experiments, determine what models best fits their data, and explain why their models are best.

Linear Functions: Mystery Liquids
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In this math lesson, learners analyze the density of liquids in order to explore linear functions.

Polynomial and Rational Functions: Building Boxes
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In this math lesson, learners explore polynomial and rational function patterns.

A Cubic Foot Per Second
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In this activity, learners measure and calculate the amount of cubic feet various containers contain. Next, learners investigate cubic feet per second (cps), by carrying jugs in one second.

Comparing the Density of Different Liquids
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Learners carefully pour vegetable oil, water, and corn syrup in any order into a cup and discover that regardless of the order they are poured, the liquids arrange themselves in layers the same way.

Proportionality: The X-Plane Generation
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In this activity, learners build a 1:140 "scale model" of NASA's X-33 Reusable Launch Vehicle (RLV) Technology Demonstrator, and investigate how the model dimensions compare to the real vehicle.
Big and Little Cups
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In this indoor or outdoor water activity, learners pour water from small cups to large cups and containers. In doing so, they discover water takes the shape of its container.

Ship the Chip
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In this activity, learners explore engineering package designs that meet the needs of safely shipping a product.

Aesop's Arithmetic
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In this activity (located on page 9 of the PDF), learners are introduced to Aesop's fable, "The Crow and the Pitcher." In the story, a clever crow drops pebbles into a pitcher to cause the water level

Mass, Area, Volume
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In this activity (page 18 of PDF), learners will measure the volume of impact craters created by projectiles of different masses.

Clay Beams and Columns
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In this activity, learners make or use pre-made clay beams to scale and proportion. Specifically, they discover that when you scale up proportionally (i.e.

Design and Build a Better Candy Bag
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In this activity, learners explore how product design differences can affect the success of a final product -- in this case a bag for holding candy.

Gummy Growth
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In this activity related to Archimedes' Principle, learners use water displacement to compare the volume of an expanded gummy bear with a gummy bear in its original condition.

Big Things Come in Little Packages
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As a group, learners investigate three packages which are all the same size and shape, but have different contents. One is filled with foam, one is filled with wood, and one is filled with metal.

That's the Way the Ball Bounces: Level 2
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In this activity, learners prepare four polymer elastomers and then compare their physical properties, such as texture, color, volume, density, and bounce height.

Going Green
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In this activity, learners conduct a waste audit and use their findings to implement a plan for reducing trash.

Cylinders and Scale
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In this activity, learners investigate the relative growth of lengths, areas, and volumes as cylinders are scaled up.