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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.

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.

Plot the Dot: A Graphical Approach to Density
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In this activity, learners work in groups to determine the mass and volume of four samples: glass marbles, steel washers or nuts, pieces of pine wood, and pieces of PVC pipe.

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.

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

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

Mold Mole Molds
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In this activity, learners make different shapes that hold exactly one mole of gas (air).

Pea Brain!: Explorations in Estimation
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In this activity, learners use two different techniques to estimate how many little things fit into one bigger thing.

Burn a Peanut
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In this activity, learners burn a peanut, which produces a flame that can be used to boil away water and count the calories contained in the peanut.

New Boxes from Old
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Learners determine the surface area and volume of two identical boxes, and then figure out the dimensions of a cubical box with the same volume.

Tomb Mapping
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In this activity, learners examine the culture and history of the tomb site.

Rates of Change: Bottles and Divers
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In this math lesson (page 2 of the PDF), learners use bottles of various shapes to explore the abstract concept of rate of change.

Size, Mass, Area, and Volume
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In this activity (page 23 of PDF), learners conduct an experiment to determine how the size and mass of a projectile affects the area and the volume of an impact crater.

Make a Model of a Home Made From Shipping Containers
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In this activity, learners watch a video to learn about a couple who built a home out of shipping containers in Brooklyn, New York.
Mystery Jars: Estimate Contents
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This activity puts a mathematical twist on the familiar “guessing jar.” No guesses allowed, estimates only.

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.

Sizing Up Temperature
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In this activity, learners explore Charles' Law in a syringe.

Scaling Cubes
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In this activity, learners explore scale by using building cubes to see how changing the length, width, and height of a three-dimensional object affects its surface area and its volume.

Exploring a Complex Space-Filling Shape
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In this activity, learners build a paper stellated rhombic dodecahedron, a three-dimensional 12-pointed star.

How Big is Small
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In this classic hands-on activity, learners estimate the length of a molecule by floating a fatty acid (oleic acid) on water.