The book is Elementary and Intermediate Algebra, 4th Ed. By Dugopolski…
Problem 56 on page 437:
Bear population. To estimate the size of the bear population on the Keweenaw Peninsula, conservationists captured, tagged, and released 50 bears. One year later, a random sample of 100 bears included only 2 tagged bears. What is the conservationist’s estimate of the size of the bear population?
Problem 10 on page 444:
y-1/x+3 (fraction)=- 3/4 (a negative fraction)
Directions
1. Solve problem 56 on page 437 of Elementary and Intermediate Algebra. Set up the two ratios and write your equation, choosing an appropriate variable for the bear population.
2. Complete problem 10 on page 444 of Elementary and Intermediate Algebra.
3. Write a two- to three-page paper (not including the title page) that is formatted in APA style and according to the Math Writing Guide (As follows the Directions). Format your math work as shown in the example, and be concise in your reasoning. In the body of your essay, do the following:
o Set up the proportion for problem 56 on page 437.
o Demonstrate your solutions to problem 56 on page 437 and to problem 10 on page 444, making sure to include all mathematical work and an explanation for each step.
Identify the form of equation you end up with in problem 10, and explain the relationship between the final coefficient of x compared to the original problem.
o Incorporate the following four math vocabulary words into your paper. Use bold font to emphasize the words in your writing. (Do not write definitions for the words; use them appropriately in sentences describing your math work.)
? Extraneous
? Proportion
? Cross multiply
? Extreme-means
Math Writing Guide
In addition to the weekly homework, lab, and discussion posts, the Math courses at Ashford also include written assignments. Do not let this intimidate you. While this may be unlike other math classes in the past, the purpose of this is let you examine a math concept that has a direct correlation to the use of mathematics in the “real world,” and to have you explain how and why you solved a problem in a particular way, allowing you to further develop your critical thinking skills with regard to mathematics.
The purpose of this short “guide” is to prepare you for completing these writing assignments, since the format will be slightly different than the other writing assignments you have here at Ashford. However, the basic 5 paragraph essay should still be the basis for your written assignments in Math.
Introduction:
Your introduction needs to do three main things:
? Introduce the specific concept examined in the assignment (i.e. inequalities, Pythagorean quadratics, etc).
? Introduce or reference the specific question or real world application being asked (i.e. BMI, navigation)
? Have a clear statement that describes how the concept examined in the assignment is important to a “real world” setting.
As with all introductions, this should be about 5-6 sentences in length.
Body Paragraphs:
This is where your assignment diverges from a more traditional essay. Here is where you will solve the specific problem being asked, and explain how and why this is important.
In order to do this, you will need to:
? Restate the problem in your own words. Solve the problem demonstrating your understanding of the concepts examined in the essay, making sure to include each mathematical step (in other words, show your work). This will count as a “paragraph.”
If there is a visual that you used that would like to include, you may attach a scanned copy of it separately, and reference it here (i.e. see attached visual). Please note that this visual must be created by you and cannot be a scanned copy of the text or other class wide visual.
? Include a discussion that incorporates the answers of each additional question asked in the prompt. Depending on the questions asked, this will usually be 2 paragraphs in length.
? In your discussion, make sure to incorporate the weekly vocabulary terms listed in the assignment, and place these in bold type. These should be fully integrated into your discussion, and should not just be definitions.
Conclusion
Your conclusion should be a paragraph (at least 5 sentences) that includes the following:
? An application of the concept examined to the particular problem solved
? A summary of the problem and your method of solving it
? A statement of what you learned
? A statement of how this concept can be used in the real world.
APA format:
All assignments submitted at Ashford must be in APA format. Therefore, please make sure to include a properly formatted reference and title page, and make sure your paper is in an APA font, such as 12 pt. Courier New or Times New Roman. With regard to internal citations, you don’t need to cite the textbook if the problem you are solving is from the textbook, but you will need to cite any outside sources. Please
make sure that the text is listed in your reference section however, along with any other sources you used in working on the assignment.
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