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Introduction to Mathematical Modeling
In this mathematical modeling worksheet, students answer two essay questions. They describe Newton's Law of Cooling by describing and constructing a model and answering seven essay questions about the process.
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Animating Motion
Students apply what they recall about objects in motion by animati ng sequences of pictures that model a set of physical conditions. They animate the orbital motions of the Earth, the space shuttle, and the Moon based on calculations of...
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Olympic records through time
Pupils compare the records of gold medal Olympic winners for the last 100 years and decide if we are faster, stronger than in the past.
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Related Robots
Students solve problems using implicit differentiation. In this calculus lesson, students take the derivative to calculate the rate of change. They observe two robots and draw conclusion from the data collected on the two robots.
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Calibrating a Roverbot
Students build and program a Lego Mindstorms Roverbot to travel for a given amount of time. They gather data on time versus distance traveled to determine a calibration constant for their robot, which relates time to distance.
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Are We There Yet?
Students estimate the time needed by the Corps of Discovery to complete its expedition. They problem solve and estimate the distance covered by the Corps on its expedition. They compare their findings to the expedition's actual rates...
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Liquids Have Differnt Viscosities
Students explore visosity of matter. They run tests of various liquid substances to observe and compare rates of flow of different substances. In addition, they relate viscosity to distance travelled by sample substances.
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Line Graph: To Grandmother's House We Go
In this line graph worksheet, students use a line graph showing distance traveled to answer a set of 4 related questions. Answers are included on page 2.
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Migrating Math
Students practice estimating distance traveled while walking. Also can be used to introduce backpacking/hiking or as a daily warm-up. Measure the blacktop/cafeteria/playground, then determine how many times around make a mile.
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Measure for Measure: Lengths and Heights
Learners explore measuring tools by calculating heights and lengths of random objects. In this distance measurement lesson, students utilize the Internet service MapQuest to measure the distance between their current towns and many other...
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Float the Boat
Students collect data and analyze it using a graph. In this algebra lesson, students identify different bodies of water and relate the flowing to math. They collect data on the rate of flow and the height of flow. They analyze the data...
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Active Wear
Students interpret and analyze data. In this middle school mathematics lesson, students conduct an experiment in which they investigate which solar collector, black, white, or silver, absorbs the most heat. Students examine the graphs...
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Earthquake Depth
Students research and locate earthquake epicenters on a map using latitude and longitude. They determine if the depth of an earthquake has any relationship to the distance from a plate boundary.
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The Way Things Fall
Students see that light and heavy objects fall at the same rate, as established experimentally by Galileo. They see that falling objects, and balls rolling down an incline, tend to accelerate at a constant rate a. Their velocity...
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Math: Gears and Wheels
Twelfth graders solve problems involving linear and angular speed. Using information about a compact disc, they solve the problem using multiple rates and conversion factors. Students also solve additional problems involving bicycle...
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PrimeTime Math: Cliffbound!
Young scholars are involved in a cooperative learning environment that analyzes fractions, ratios to time and distance, equivalent fractions and numerical relationships and expressions in quantitative problems. They take notes, relate...
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Search and Rescue Project
Learners create a search and rescue party. For this geometry lesson, students simulate a rescue operation using math. They calculate the time, rate and solve word problems related to the real world.
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How to tell when mealworms are out of breath
Students explore the respiration rate of a mealworm. Through experimental means, they determine the average volume of oxygen used and discuss factors that affect the respiration rate of an organism.
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Teen America Travels New England
Students simulate the role of a travel agent to understand how to read and use road maps. They plan a bus trip through New England for a group of travelers that includes, bus travel, meals and attractions. They plan the distance that...
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Algebra and Trigonometry - Week 3: Story Problems
In this story problem worksheet, students read story problems, write equations, and solve. They use the law of sines, the law of cosines, the distance formula, and rates to solve problems. This two-page worksheet contains seven story...
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Practice Problems for the Net Force Particle Model
In this forces worksheet, young scholars practice writing net force equations and solving for acceleration and distance objects travel in different situations. This worksheet has 7 problems to solve.
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SOL Review
For this SOL worksheet, students solve inequalities, identify equivalent fractions and graph polynomial functions. They find the geometric means and compute average rates. This eight-page worksheet contains 20 multiple-choice problems.
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Discovering Math: Concepts in Algebra
Students learn that speed is a function of time and distance, a quadratic equation can be used to figure out the path of fireworks, a photographer can use Algebra to figure out how many rolls he can afford if he needs twice as much of...
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Maps
Learners figure out the mileage from one state to another using a map. In this map lesson, students look at the scale factor and turn it into a fraction. They measure the distance between two cities and use the proportion to find the...
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