Students analyze the relationship between wheel radius, linear velocity and angular velocity …
Students analyze the relationship between wheel radius, linear velocity and angular velocity by using LEGO(TM) MINDSTORMS(TM) NXT robots. Given various robots with different wheel sizes and fixed motor speeds, they predict which has the fastest linear velocity. Then student teams collect and graph data to analyze the relationships between wheel size and linear velocity and find the angular velocity of the robot given its motor speed. Students explore other ways to increase linear velocity by changing motor speeds, and discuss and evaluate the optimal wheel size and desired linear velocities on vehicles.
Students expand their knowledge of circles to establish relationships between angle measures …
Students expand their knowledge of circles to establish relationships between angle measures in and around circles, line segments and lines in and around circles, and portions of circles as related to area and circumference.
This activity provides an opportunity for students to explore the ratio of …
This activity provides an opportunity for students to explore the ratio of the circumference of its circle to the length of its diameter in order to generalize the ratio of pi. [3:14]
Working individually or in groups, students explore the concept of stress (compression) …
Working individually or in groups, students explore the concept of stress (compression) through physical experience and math. They discover why it hurts more to poke themselves with mechanical pencil lead than with an eraser. Then they prove why this is so by using the basic equation for stress and applying the concepts to real engineering problems.
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 apply algebraic and proportional reasoning skills to investigate angle relationships, circle …
Students apply algebraic and proportional reasoning skills to investigate angle relationships, circle measurements, uniqueness of triangles, and solid figure application problems.
This concept teaches students to find the length of an arc. Students …
This concept teaches students to find the length of an arc. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
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This concept teaches students how to find the area of sectors and …
This concept teaches students how to find the area of sectors and segments of circles. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
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This concept teaches students how to calculate the area of a circle. …
This concept teaches students how to calculate the area of a circle. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
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In this lesson students calculate the area of circles and the area …
In this lesson students calculate the area of circles and the area of sectors of circles by using given information and formulas. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
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In this lesson, students apply chord theorems. Students examine guided notes, review …
In this lesson, students apply chord theorems. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
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This concept teaches students four theorems about chords and how to apply …
This concept teaches students four theorems about chords and how to apply them. Students examine guided notes, review guided practice, watch instructional videos and attempt practice problems.
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