OPAPP “Grazing Area” Task

Class pictures and videos Student examples of

MOODLE assignments, responses, and feedback

How the problem is approached and how the solution is communicated is extremely important since they are both categories on the scoring rubric. Without completing any Without completing any mathematics, list the approach (steps) you will mathematics, list the approach (steps) you will be taking in order to find a solution to this be taking in order to find a solution to this task.task. What kinds of math will you try? Be detailed and organized in your post.

The above question must be answered in a post by Friday, January 21st by midnight.

The following must be answered by Saturday, January 22nd by

midnight. 

Read each of your group member's posts.Read each of your group member's posts.  How does your detailed approach to the task compare to those in your group? CommentComment on things that you might have forgotten, didn't think of, might be missing from others' approach, etc. 

"I created my scale drawing in class yesterday and began trying to calculate the grazing area by taking the area of the taking the area of the large circle large circle with 50 as the radius and dividing it by four and then multiplying by dividing it by four and then multiplying by three.three. I did the same with the other two the other two miniature parts though I didn't multiply miniature parts though I didn't multiply them by three but instead just kept them them by three but instead just kept them as they were and added on.as they were and added on. "

  "..... Next, I would put the post that the

goat is tethered to in the lower right corner in the lower right corner of the fenced area and use methodsmethods to calculate the area of the new grazing area and ensure that the new grazing area is at least the same area as the old one. If it is not, I would try the lower left corner.lower left corner. If that did not work, then I would try a variety of variety of points points between the barn and both lower corners that are out of reach of the herb garden for the goat until I find a point that gives the goat at least as much grazing area as the original point of the tether."

"To solve this problem I might make a large rectangle that contains the whole grazing area. After I find the area of the rectangle, subtract the area that doesn't contain the grazing area. I would move the goat to a place where he couldn't reach the garden and then follow the same process to find the area again."

"...... I feel you made a fatal mistake in determining the area that the goat is currently able to reach. You've already realized that it does not make a full does not make a full circlecircle, so you could not, therefore, just find the area of the circle and subtract the barn."

"...... I don't think you'll be able to use the use the formula for the area of a circleformula for the area of a circle by itself because the barn shortens the goat’s the barn shortens the goat’s rope rope and would shorten the radius of the goats grazing area depending on where he is in relation to the barn."

….. and lots of comments like:

"I agree with your I agree with your reasoningreasoning.“

“I understood everything you said.”

“Good job!”

Not pleased with the specificity of their posts and feedback, there was a 2nd attempt.

"..... You should only communicate what you have tried and whether or not you feel good about your results. As you read each other's posts, you should make suggestions, agree, disagree, brainstorm, etc., but be specific. Make every sentence mean something to your reading audience."

"By using the drawn-to-scale diagram to determine irregular shapes and the such, I can determine the grazing area of this goat, .......... Using such techniques as the area of a circle, subtraction, and to determine the area of irregular shapes: counting and perhaps some estimating, of units on my drawn-to-scale diagram."

"..... The only problem I see is that you may want to go into more detail with what and how you plan on determining the "irregular shapes". I think that you can come up with a more accurate way of determining the area of your irregular shapes than estimating and counting, such as dividing them into geometric shapes that you know how to find the area of.  What will you try out next if you find that the new grazing area does not equal or exceed the previous grazing area?

"..... I will take the law of cosines for this circle to find the angle that it hits the outer right corners of the barn. ............ Then I will add up squares on what is left of the circle. This sum will determine whether the spot I placed the grazing area is a valuable solution."

"...... I was wondering if you meant to place the tether in the southeast corner, or just move the circle as far to the south and east as you can without putting part of the circle outside the fences. ........ Also, when you say "add up squares" do you mean physically count them, or do you mean solve for the number of squares using methods like the formulas for the areas of squares, rectangles, triangles, etc?  As I said in my comment on your post to the first forum, I'm really glad you remembered to include the part about solving for the angles! I had totally forgotten to do that at first.