Labpro, Sensor and Graphing Calculator Track a Ball Up and Down a Ramp.

This lesson shows how a Labpro interface controls a sensor to read position vs. time from a ball going up and down a ramp, and then sending the data to a graphing calculator to generate a quadratic regression model. The lesson implies that students have to do the set up. Position the ramp on top of a few stacked books, and making all the necessary connections from sensor to calculator, calculator to interface (LabPro) and test the setting with a few runs of the ball up the ramp. The sensor sends the readings to the calculator as (time , the ball's distance travelled in the ramp). These points are used in the calculator to perform a quadratic regression that yields a second degree equation that when graphed gives a parabola. This equation may be used to predict where the ball would be if students were able to run the up down travel at the same speed.

This site has been hacked multiple times. Latest focus has been changing content to make it look inaccurate. This lesson in particular has been modified in several aspects. Sound was supposed not to be enabled. Hackers tinkled with the settings and now music playing at time of recording plays during the data treatment videos. While this situation is corrected you may mute your computer. Additionally, hackers have altered the equation obtained for the mathematical model. It does not match the originally posted, and which is visible in the screen of the videos that recorded how the regression was obtained. We are in the process of correcting this.

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Lesson's Glossary

Constant: It is a number or value that remains always the same. Never changes.

Exponent: It is a raised number representing the repeated multiplication of a given factor. Perfect square trinomial: A trinomial generated by the product of two equal binomials.

Expression: Any combination of numbers and operations without the = sign.

Factored Form: Any polynomial that is written as the product of polynomials of lower degree that may be obtained from the original polynomial.

Like terms: Terms that have the same combination of variables to the same power as factors.

Polynomial: A algebraic statement with one or more terms. Word comes from “poly” which means many.

Power: Exponent of a number or variable.

Term: A form of grouping one or more numerical and/or variable factors by means of multiplication and division. Addition and subtraction symbols separate terms.

Variable: A letter used to represent a number. When the variable is part of an equation, it is possible to find the value for which it stands for by solving the equation. This is the solution (s) of the equation.

Variable expression: Mathematical phrase with at least one variable in it.

 

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