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This classroom activity presents College Algebra students with a ConcepTest and a Question of the Day activity concerning the...
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This classroom activity presents College Algebra students with a ConcepTest and a Question of the Day activity concerning the effect of the proportionality constant, k, on the y-intercept and position of an exponential graph where k<0 and C is an arbitrarily fixed value in f(x)=Ce^(kx).
Material Type:
Assignment
Author:
James Rutledge
Date Added:
Aug 25, 2010
Date Modified:
Jul 02, 2012
Peer Review for material titled "Effect of Proportionality Constant on Exponential Graph (k<0)"
User Rating for material titled "Effect of Proportionality Constant on Exponential Graph (k<0)"
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This classroom activity presents College Algebra students with a ConcepTest and a Question of the Day activity concerning the...
see more
This classroom activity presents College Algebra students with a ConcepTest and a Question of the Day activity concerning the effect of the proportionality constant, k, on the y-intercept and position of an exponential graph where k>0 and C is an arbitrarily fixed value in f(x)=Ce^(kx
Material Type:
Assignment
Author:
James Rutledge
Date Added:
Aug 22, 2010
Date Modified:
Jul 02, 2012
Peer Review for material titled "Effect of Proportionality Constant on Exponential Graph (k>0)"
User Rating for material titled "Effect of Proportionality Constant on Exponential Graph (k>0)"
Member Comments for material titled "Effect of Proportionality Constant on Exponential Graph (k>0)"
Learning Exercises for material titled "Effect of Proportionality Constant on Exponential Graph (k>0)"
Personal Collections for material titled "Effect of Proportionality Constant on Exponential Graph (k>0)"
Accessibility Info for material titled "Effect of Proportionality Constant on Exponential Graph (k>0)"
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(1)
College Algebra or Liberal Arts math students are presented with two Questions of the Day and a write-pair-share activity...
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College Algebra or Liberal Arts math students are presented with two Questions of the Day and a write-pair-share activity involving Florida's population growth. The results show that students often do not have a clear grasp of the differences between linear growth and exponential growth.
Material Type:
Assignment
Author:
James Rutledge
Date Added:
Sep 29, 2009
Date Modified:
Jan 03, 2013
Peer Review for material titled "Florida's Population Growth: Linear or Exponential?"
User Rating for material titled "Florida's Population Growth: Linear or Exponential?"
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College Algebra or Liberal Arts math students are presented with three Questions of the Day and a write-pair-share activity...
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College Algebra or Liberal Arts math students are presented with three Questions of the Day and a write-pair-share activity involving Florida's population growth (other states may be used in place of Florida). The results are quite revealing and show that while students may have learned how to perform the necessary calculations, their conceptual understanding concerning exponential growth may remain faulty. Student knowledge (or lack thereof) of the size of their state's population and its annual growth rate may also be surprising.
Material Type:
Assignment
Author:
James Rutledge
Date Added:
Sep 29, 2009
Date Modified:
Jan 03, 2013
Peer Review for material titled "Florida's Population Growth: Projections"
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College Algebra or Liberal Arts math students are presented with a ConcepTest and a write-pair-share activity involving...
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College Algebra or Liberal Arts math students are presented with a ConcepTest and a write-pair-share activity involving Florida's population growth. The activity asks students to decide whether a ten-year growth rate can be divided by 10 to produce the corresponding annual growth rate for each of the ten years. The results show that, while students may have learned that exponential growth is a multiplicative process, their conceptual understanding concerning exponential growth is often a bit fuzzy.
Material Type:
Assignment
Author:
James Rutledge
Date Added:
Sep 29, 2009
Date Modified:
Jan 22, 2013
Peer Review for material titled "Exponential Growth: A Detailed Look"
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College Algebra or Liberal Arts math students are presented with a Question of the Day and a write-pair-share activity...
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College Algebra or Liberal Arts math students are presented with a Question of the Day and a write-pair-share activity involving U.S. state population growth. Student knowledge (or lack thereof) of the annual growth rates of individual states may be surprising.
Material Type:
Assignment
Author:
James Rutledge
Date Added:
Sep 29, 2009
Date Modified:
Jan 25, 2013
Peer Review for material titled "Fastest-Growing States? Population Surprises"
User Rating for material titled "Fastest-Growing States? Population Surprises"
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College Algebra or Liberal Arts math students are presented with two Questions of the Day and a write-pair-share activity...
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College Algebra or Liberal Arts math students are presented with two Questions of the Day and a write-pair-share activity involving U.S. state population growth. Student knowledge (or lack thereof) of the annual growth rates of individual states may be surprising. In addition, the long-term effects of high growth rates always shocks and surprises students; most have never calculated the mathematical results.
Material Type:
Assignment
Author:
James Rutledge
Date Added:
Sep 29, 2009
Date Modified:
Aug 14, 2012
Peer Review for material titled "Exponential Growth: What Might the Future Hold?"
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This classroom activity presents Calculus II students with some Flash tutorials involving work and pumping liquids along with...
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This classroom activity presents Calculus II students with some Flash tutorials involving work and pumping liquids along with some simple questions concerning the amount of work involved in pumping water out of two full containers having the same shape and size but different spatial orientations.Students are given opportunities to address this question by means of a ConcepTest and a write-pair-share activity. The results are quite revealing and show that while students may have learned how to perform the necessary calculations, their conceptual understanding concerning work may remain faulty.
Material Type:
Assignment
Author:
James Rutledge
Date Added:
Sep 29, 2009
Date Modified:
Aug 14, 2012
Peer Review for material titled "How Much Work is Required: An Interesting Ratio"
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This classroom activity presents Calculus II students with some Flash tutorials involving work and pumping liquids along with...
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This classroom activity presents Calculus II students with some Flash tutorials involving work and pumping liquids along with some questions concerning the amount of work involved in pumping water out of two full containers having the same shape and size but different spatial orientations. Students are given opportunities to address this question by means of a write-pair-share activity in which they construct an integral equation and solve for an upper limit of integration.
Material Type:
Assignment
Author:
James Rutledge
Date Added:
Sep 29, 2009
Date Modified:
Aug 14, 2012
Peer Review for material titled "How Much Work is Required: Corresponding Heights"
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After covering the standard course material on infinite series and their sums and the Integral Test for series convergence,...
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After covering the standard course material on infinite series and their sums and the Integral Test for series convergence, Calculus II students are given a write-pair-share activity that directs them to clearly explain the difference between a series and its related integral and explain why the sum of the series is greater than the value of the corresponding integral. Afterwards, the instructor employs a Web-based applet that visually displays graphs of both the series and the integral so that students can see the relationship between them.
Material Type:
Assignment
Author:
James Rutledge
Date Added:
Sep 29, 2009
Date Modified:
Aug 14, 2012
Peer Review for material titled "Series and Integrals: A Revealing Comparison"
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