Thursday, October 27, 2005
vases
Wednesday, October 26, 2005
Calculus Class
Today in Calculus Class we experimented with the rate of change of water levels in the height of a vase. After watching a short clip of Math Vantage, students discussed the information needed to interpret a graph. Please respond to the following questions:
What information is needed to help someone interpret a graph?
When you saw the elephant stick his trunk into the glass, why did one student think the slope of the line graphed would be undefined?
What was the response he got to his observation?
When we used the motion detector to graph "your walk", what did the various parts of the linear equation represent? Ex: y=x + 1.5 was the first equation we "walked"
What suggestions would you give someone who was trying to walk the equation y= -2(x-2)^2 + 15?
When we graphed the the data collected from measuring the water level in the vases, what concept in calculus was used to determine the height of the water for the last few entries?
What could you say about the rate of change at different heights of the vases? Why were some graphs linear and others not?
How would you teach this lesson to the three students who were at the FFA convention?
What information is needed to help someone interpret a graph?
When you saw the elephant stick his trunk into the glass, why did one student think the slope of the line graphed would be undefined?
What was the response he got to his observation?
When we used the motion detector to graph "your walk", what did the various parts of the linear equation represent? Ex: y=x + 1.5 was the first equation we "walked"
What suggestions would you give someone who was trying to walk the equation y= -2(x-2)^2 + 15?
When we graphed the the data collected from measuring the water level in the vases, what concept in calculus was used to determine the height of the water for the last few entries?
What could you say about the rate of change at different heights of the vases? Why were some graphs linear and others not?
How would you teach this lesson to the three students who were at the FFA convention?
