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4434Calculus of the Dinner Table: Mathematical Modeling
https://www.merlot.org/merlot/viewMaterial.htm?id=407971
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. 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.Tue, 29 Sep 2009 10:54:50 -0700Fundamental Theorem of Calculus: An Investigation
https://www.merlot.org/merlot/viewMaterial.htm?id=407974
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.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.Tue, 29 Sep 2009 10:56:49 -0700Earth-Moon-Sun Dynamics
https://www.merlot.org/merlot/viewMaterial.htm?id=488514
This site has fully developed activities, handouts, and even a test covering sunrise and sunset direction, moon face, phases of the moon, eclipses, and seasonal changes.Tue, 7 Sep 2010 22:08:24 -0700Elementary Statistics
https://www.merlot.org/merlot/viewMaterial.htm?id=1020983
This course is the study of descriptive statistics; probability; discrete and continuous (including binomial, normal and T) distributions; sampling distributions; interval estimation; hypothesis testing; linear regression and correlation. It is recommended for majors in the fields of biology, mathematics, social sciences, education and business. Wed, 29 Apr 2015 20:33:13 -0700Applied Math Lesson Plan
https://www.merlot.org/merlot/viewMaterial.htm?id=567409
This fall I will be teaching a new course entitled “Applied Mathematics” which is intended for students who demonstrate a need to reduce the Algebra II requirement in the Michigan Merit Curriculum due to academic difficulty in Algebra I and/or Geometry. The course features interwoven strands of algebra and functions, statistics, and probability, with a focus on applications of mathematics. Students will learn to recognize and describe important patterns that relate quantitative variables and develop strategies to make sense of real-world data. The course will develop students’ abilities to solve problems involving chance and to approximate solutions to more complex probability problems by using simulation. The goal that will be addressed in this lesson is to review Algebra I fundamentals, more specifically mathematical models (price-demand model, formulas as models, and operations with real numbers) to lay the foundation for the semester.Mon, 11 Jul 2011 09:03:19 -0700Balancing Equations
https://www.merlot.org/merlot/viewMaterial.htm?id=741367
This is a technology rich lesson plan that can be used in a mathematics class to explore balancing equations.Sun, 17 Mar 2013 16:28:55 -0700Choose Your Best Way Lesson
https://www.merlot.org/merlot/viewMaterial.htm?id=860086
Lesson focuses on how mathematic models help to solve real problems and are realized in computers. Students work in teams to build a graph model of their city map while learning how mathematic models work. Student should be encouraged to use this model to solve real problems.Fri, 9 May 2014 12:54:26 -0700Exponential Growth: What Might the Future Hold?
https://www.merlot.org/merlot/viewMaterial.htm?id=407970
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.Tue, 29 Sep 2009 10:52:30 -0700Interesting Problems For Physics / Astronomy 101 & 102
https://www.merlot.org/merlot/viewMaterial.htm?id=661076
A site has been posted containing problems appropriate for courses in introductory Astronomy. Problems in basic Physics are also included. They can be freely downloaded and used as you wish.These exercises are suitable for –• an honors introductory course for non-science majors• an introductory course for science majors • a second course for non-science majorsAll of them are quantitative, and are at a mathematical level involving nothing beyond exponential arithmetic. Many are quite extensive. None are multiple-choice.Also included: problems involving inquiry / project-based learning and group work.BackgroundThese exercises have evolved out of my years of teaching introductory courses in Astronomy for non-science majors at Amherst College. Surveying the available problems in textbooks, web sites etc I was struck by the need for exercises that students would find interesting, that go beyond the usual (‘verify equation such-and such,” or “what is the distance to a star with such-&-such a parallax”) and seek to involve the student in more challenging issues. We have a tendency to think that independent thinking cannot be done by non-science students, and that only advanced science majors have learned enough of the material to begin to think creatively about it. I believe this attitude is false. In this website I present exercises designed to move students beyond their normal comfort level, and that give them the opportunity to think about issues somewhat more subtle than they may be used to.I hope that instructors will find these problems useful in their teaching. Please download them, use them in any way you see fit, and modify them in any way you wish. I would appreciate hearing from people who have used these exercises about students’ reactions to them, and I would appreciate suggestions about how they can be improved. I intend to modify this web site from time to time in the light of users’ comments.George GreensteinEmeritus Professor of AstronomyAmherst Collegegsgreenstein@amherst.eduThu, 7 Jun 2012 06:47:10 -0700Mathematics Lesson Plan for Finding Tax, Tip and Total at a Restaurant
https://www.merlot.org/merlot/viewMaterial.htm?id=618113
Here is a lesson plan and assignment to teach students the concept of finding percent of a number through the application of finding tax, tip, and total at a restaurant. This lesson allows students to use the Internet to search for a restaurant menu, create a meal, then calculate the final cost of their total bill.Sat, 21 Jan 2012 12:57:06 -0800