Coordinate Systems

Air Coasters

Determine the velocity of a new "frictionless" roller coaster for three possible designs.

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Aquariums Under Pressure

What qualities or characteristics would you look for in the material that is used to make an aquarium?

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Building a Rover

Build a two-dimensional "rover" and analyze its ability to climb over obstacles as you vary the diameter and spacing of its "wheels."

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Curve Control

The maximum speed that a windsail can achieve will be related to the height of its mast. Learn how a set of coordinates can specify the exact shape of a mast.

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Deep Sea Missions

Plot the relationship of pressure vs. depth and find the equation that represents it.

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The Distance Between Two Points

Find the distance between two points in three-dimensional space.

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Elliptical Orbit

If the Space Shuttle were to make a maintenance trip out to a satellite in geo-synchronous orbit, the Shuttle would need to enter into an elliptical orbit around the earth.

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Ingrid's Cross-Country Practice

Analyze an athlete's workout by graphing her heart rate.

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Light Intensity

Study the relationship between light intensity and distance based.

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Peas in a Pod

Is there a relationship between the length of a pea pod and the number of peas it contains?

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Planet Paths

Determine which function represents the relationship between the time duration of a planet's orbit and its average distance from the sun.

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Rice Production

Graph data on the total amount of rice production of the US over a span of many years; look for patterns and predict rice production over the next 10 years.

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Rocks

Graph data provided regarding the number of rocks found in different size ranges on Mars. Look for a pattern, and compare it to data taken from Death Valley, California.

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Saving the Bald Eagle

Develop a plan to recover an endangered species, based on linear and non-linear projections.

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Skateboard Flex

One important quality of a skateboard is its “flex”—how far the deck will bend when weight is put on it, and how well it snaps back to its original shape.

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Walking Graphs

Collect, graph and interpret time and distance data for a person who is walking at an even pace.

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Water Pressure

An unusual method of measuring water pressure provides an opportunity to develop a linear function model.

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