Math-Science Connections

(Slopes and Equations)

ACTIVITY 1: DENSITY: A STUDY IN DIRECT RELATIONSHIP

Students conducted a mass-volume experiment. The mass and volume of various samples of zinc, marble and rubber stoppers were measured. This data was used in two mathematical lessons. In the first lesson, students constructed scatter plots of data points and sketched a best fit line for each substance. Later in the semester, statistics was used to calculate the equation of each line using the graphing calculator. Slope of each line was calculated using two data points by hand. Then results compared.

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ACTIVITY II: TIME-TEMPERATURE STUDY OF WATER DURING PHASE CHANGE

Students used CBL and temperature probe to study the freezing and melting behavior of water. Graphing calculators plotted the time-temperature graph during the experiment. Correlations were made between changes in slope and physical changes of water. Source: Chemistry with CBL, Holinquist, Randall and Volz, Vernier Software, 1995

ACTIVITY III: MATCH IT WITH CBL

Students created a graph of time vs. distance by walking slowly or quickly toward or away from a motion sensor. Slope of the line segments and their corresponding equations were calculated. This activity reenforces the concepts of slope as a measure of change. Source: Real World Math with the CBL System, Brueningsen, Bower, Antinone, Breningsen, Texas Instruments, 1994

ACTIVITY IV: PRESSURE-VOLUME RELATIONSHIP OF GASES (AIR, NATURAL GAS AND CARBON DIOXIDE)

Volume and corresponding pressure data was put into lists in the graphing calculators. A third list of reciporcal volume was generated. Pressure vs. reciprocal volume was plotted as scatter plot and a best fit line was calculated. Further exploration on direct and inverse or joint proportions could be done with these lists. Source: Chemistry, PASCO Scientific Science Workshop, PASCO Scientific , 1995

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