Students work as engineers and learn to conduct controlled experiments by changing …
Students work as engineers and learn to conduct controlled experiments by changing one experimental variable at a time to study its effect on the experiment outcome. Specifically, they conduct experiments to determine the angular velocity for a gear train with varying gear ratios and lengths. Student groups assemble LEGO MINDSTORMS(TM) NXT robots with variously sized gears in a gear train and then design programs using the NXT software to cause the motor to rotate all the gears in the gear train. They use the LEGO data logging program and light sensors to set up experiments. They run the program with the motor and the light sensor at the same time and analyze the resulting plot in order to determine the angular velocity using the provided physics-based equations. Finally, students manipulate the gear train with different gears and different lengths in order to analyze all these factors and figure out which manipulation has a higher angular velocity. They use the equations for circumference of a circle and angular velocity; and convert units between radians and degrees.
Students learn that math is important in navigation and engineering. They learn …
Students learn that math is important in navigation and engineering. They learn about triangles and how they can help determine distances. Ancient land and sea navigators started with the most basic of navigation equations (speed x time = distance). Today, navigational satellites use equations that take into account the relative effects of space and time. However, even these high-tech wonders cannot be built without pure and simple math concepts â basic geometry and trigonometry â that have been used for thousands of years.
Explore Trigonometry in this free video unit. It is comprised of 8 …
Explore Trigonometry in this free video unit. It is comprised of 8 lessons with 4-6 short videos in each lesson. Featuring the reasoning of Grade 11 students, the unit explores explores the concepts of angle measure and the sine function. The videos provide a foundation for the Common Core State Standard covering trigonometric concepts. Show these videos to help students build intuition for difficult trigonometric ideas, like moving fluidly between angles and radians and using trigonometric functions to model real world data.
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