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MERLOT MaterialsCopyright (C) 2018 MERLOT Some Rights ReservedTue, 03 Apr 2012 19:28:20 GMTMERLOThttps://www.merlot.org/merlot/images/merlot_column.png
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-1-1MERLOT How-to Session
https://www.merlot.org/merlot/viewMaterial.htm?id=196877
<p>MERLOT How-to Session from the 2006 MERLOT International Conference. A primer on How to Effectively Use MERLOT.</p>Fri, 04 Aug 2006 01:55:24 GMTJames Rutledge St. Petersburg CollegeEffect of Coefficient of x on Parabola Vertex (b<0)
https://www.merlot.org/merlot/viewMaterial.htm?id=485513
<p>This classroom activity presents College Algebra students with a ConcepTest, a Question of the Day, and a Write-pair-share activity concerning the effect of the coefficient of x on the vertex of a parabola where a>0, b<0 and a and c are arbitrarily fixed values in f(x)=ax^2+bx+c.</p>Wed, 25 Aug 2010 18:38:16 GMTJames Rutledge St. Petersburg CollegeCalculus of the Dinner Table: Mathematical Modeling
https://www.merlot.org/merlot/viewMaterial.htm?id=407971
<p>Calculus students are presented with a write-pair-share activity that initially involves the construction of a model based on direct variation and later involves the use of calculus as a means by which to analyze the model. Suitable for either Calculus I or Calculus II students.</p><p> Note: This project has a sequel entitled Fundamental Theorem of Calculus: An Investigation (listed under Interactive Lectures) in which the Fundamental Theorem of Calculus is investigated via the constructed model.</p>Tue, 29 Sep 2009 17:54:50 GMTJames Rutledge St. Petersburg CollegeFundamental Theorem of Calculus: An Investigation
https://www.merlot.org/merlot/viewMaterial.htm?id=407974
<p>Calculus students are presented with a write-pair-share activity that leads them to a practical understanding of the Fundamental Theorem of Calculus. The activity involves analyzing a function that describes eating speed in a hypothetical dinner table experience. Suitable for either Calculus I or Calculus II students.</p><p>Note: This project has a prequel entitled Calculus of the Dinner Table: Mathematical Modeling (listed under Interactive Lectures) in which students construct the mathematical model for the king's eating speed. This prequel provides an excellent and engaging prelude to this activity.</p>Tue, 29 Sep 2009 17:56:49 GMTJames Rutledge St. Petersburg CollegeCalculus I collection
https://www.merlot.org/merlot/viewMaterial.htm?id=644539
<p>This site contains a collection of Calculus I materials selected by MERLTO Math editorial board.</p>Tue, 03 Apr 2012 19:28:20 GMTJames Rutledge; Sergey Belyi St. Petersburg College; Department of Mathematics, Troy University,Effect of Coefficient of x on Parabola Vertex (b>0)
https://www.merlot.org/merlot/viewMaterial.htm?id=484784
<p>This classroom activity presents College Algebra students with a ConcepTest, a Question of the Day, and a Write-pair-share activity concerning the effect of the coefficient of x on the vertex of a parabola where a>0, b>0 and a and c are arbitrarily fixed values in f(x)=ax^2+bx+c.</p>Sat, 21 Aug 2010 22:44:14 GMTJames Rutledge St. Petersburg CollegeEffect of Coefficient of x^0 on Parabola Vertex
https://www.merlot.org/merlot/viewMaterial.htm?id=484861
<p>This classroom activity presents College Algebra students with a ConcepTest, a Question of the Day, and a Write-pair-share activity concerning the effect of the coefficient of x^0 (i.e., the constant, c) on the vertex of a parabola where a and b are arbitrarily fixed values in f(x)=ax^2+bx+c.</p>Sun, 22 Aug 2010 12:10:15 GMTJames Rutledge St. Petersburg CollegeEffect of Coefficient of x^2 on Parabola Shape
https://www.merlot.org/merlot/viewMaterial.htm?id=484863
<p>This classroom activity presents College Algebra students with a ConcepTest, a Question of the Day, and a Write-pair-share activity concerning the effect of the coefficient of x^2 on the shape of a parabola where b and c are arbitrarily fixed values in f(x)=ax^2+bx+c</p>Sun, 22 Aug 2010 12:17:08 GMTJames Rutledge St. Petersburg CollegeEffect of Coefficient of x^2 on Parabola Vertex (a<0)
https://www.merlot.org/merlot/viewMaterial.htm?id=485516
<p>This classroom activity presents College Algebra students with a ConcepTest, a Question of the Day, and a Write-pair-share activity concerning the effect of the coefficient of x^2 on the vertex of a parabola where a<0, b>0 and b and c are fixed values in f(x)=ax^2+bx+c.</p>Wed, 25 Aug 2010 18:41:33 GMTJames Rutledge St. Petersburg CollegeEffect of Coefficient of x^2 on Parabola Vertex (a>0)
https://www.merlot.org/merlot/viewMaterial.htm?id=484866
<p>This classroom activity presents College Algebra students with a ConcepTest, a Question of the Day, and a Write-pair-share activity concerning the effect of the coefficient of x^2 on the vertex of a parabola where a>0, b>0 and b and c are arbitrarily fixed values in f(x)=ax^2+bx+c.</p>Sun, 22 Aug 2010 12:21:37 GMTJames Rutledge St. Petersburg CollegeEffect of Initial Value on Graph of Exponential Function (C<0)
https://www.merlot.org/merlot/viewMaterial.htm?id=485489
<p>This classroom activity presents College Algebra students with a ConcepTest and a Question of the Day activity concerning the effect of the initial value, C, on the y-intercept and position of an exponential function where C<0 and k is an arbitrarily fixed value in f(x)=Ce^(kx).</p>Wed, 25 Aug 2010 18:44:52 GMTJames Rutledge St. Petersburg CollegeEffect of Initial Value on Graph of Exponential Function (C>0)
https://www.merlot.org/merlot/viewMaterial.htm?id=484860
<p>This classroom activity presents College Algebra students with a ConcepTest and a Question of the Day activity concerning the effect of the initial value, C, on the y-intercept and position of an exponential graph where C>0 and k is an arbitrarily fixed value in f(x)=Ce^(kx).</p>Sun, 22 Aug 2010 12:06:55 GMTJames Rutledge St. Petersburg CollegeEffect of Proportionality Constant on Exponential Graph (k<0)
https://www.merlot.org/merlot/viewMaterial.htm?id=485491
<p>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).</p>Wed, 25 Aug 2010 18:47:43 GMTJames Rutledge St. Petersburg CollegeEffect of Proportionality Constant on Exponential Graph (k>0)
https://www.merlot.org/merlot/viewMaterial.htm?id=484858
<p>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</p>Sun, 22 Aug 2010 12:02:31 GMTJames Rutledge St. Petersburg CollegeExponential Growth: What Might the Future Hold?
https://www.merlot.org/merlot/viewMaterial.htm?id=407970
<p>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.</p>Tue, 29 Sep 2009 17:52:30 GMTJames Rutledge St. Petersburg CollegeFlorida's Population Growth: Linear or Exponential?
https://www.merlot.org/merlot/viewMaterial.htm?id=407962
<p>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.</p>Tue, 29 Sep 2009 17:46:17 GMTJames Rutledge St. Petersburg CollegeFlorida's Population Growth: Projections
https://www.merlot.org/merlot/viewMaterial.htm?id=407960
<p>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.</p>Tue, 29 Sep 2009 17:43:24 GMTJames Rutledge St. Petersburg CollegeHow Much Work is Required: An Interesting Ratio
https://www.merlot.org/merlot/viewMaterial.htm?id=408027
<p>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.</p><p>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.</p>Tue, 29 Sep 2009 19:56:42 GMTJames Rutledge St. Petersburg CollegeHow Much Work is Required: Corresponding Heights
https://www.merlot.org/merlot/viewMaterial.htm?id=408030
<p>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.</p>Tue, 29 Sep 2009 19:58:42 GMTJames Rutledge St. Petersburg CollegeSeries and Integrals: A Revealing Comparison
https://www.merlot.org/merlot/viewMaterial.htm?id=408032
<p>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.</p>Tue, 29 Sep 2009 20:00:34 GMTJames Rutledge St. Petersburg CollegeExponential Growth: A Detailed Look
https://www.merlot.org/merlot/viewMaterial.htm?id=407964
<p>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.</p>Tue, 29 Sep 2009 17:48:18 GMTJames Rutledge St. Petersburg CollegeFastest-Growing States? Population Surprises
https://www.merlot.org/merlot/viewMaterial.htm?id=407966
<p>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.</p>Tue, 29 Sep 2009 17:49:56 GMTJames Rutledge St. Petersburg CollegeMathematical Visualization Toolkit: A Snapshot
https://www.merlot.org/merlot/viewMaterial.htm?id=574563
An author's Snapshot for Mathematical Visualization Toolkit material found in MERLOT at <a href="http://www.merlot.org/merlot/viewMaterial.htm?id=89767">http://www.merlot.org/merlot/viewMaterial.htm?id=89767</a>. This material is a MERLOT classic award winner and an Editors choice winner. This snapshot shows an overview of the material. This was created in the MERLOT Content Builder.Fri, 12 Aug 2011 02:08:01 GMTJames Rutledge St. Petersburg College