Hello everyone,
Mr. Pearson has nominated me as the NMS math club captain. You will recieve competitive homework problems and tutoring from me every Monday morning at the math club meeting. If you have any questions or concerns, feel free to post them on the blog:
pearsonalgebra.blogspot.com
If you wish to go farther into the competitive and challenging math world, be sure to try all the weekly assigned problems posted on the blog! (I will be glad to help you with any of the problems.)
We have already been registered for the MATHCOUNTS competition. The Chapter Round will be held sometime in January at GA Tech. 5 of you will be chosen to represent our school in the competition. So, please be active and do your best!!!
Thanks,
Captain Agni
Monday, November 8, 2010
ReplyDeletePlease complete the following problems for homework:
Water on the Moon!
On Friday, November 13, NASA released the results of a scheduled crash landing on the moon. The hope was that the impact would kick up some water. The crash went as planned and NASA had tremendous success, finding “large amounts” of water. This discovery has rekindled hopes of establishing a space camp on the moon for future space exploration.
1. The plumes created by the impact contained 25 gallons of water. If one pint of water weighs about 1.04 lbs, how many pounds does the water weigh that was found on the moon? Note: One gallon of water is equivalent to 8 pints of water.
2. One gallon is equivalent to 231 cubic inches. What is the minimum possible height of a right cylindrical container that contains all 25 gallons of water if it has a circular base with a radius of 10 inches? Express your answer as a decimal to the nearest hundredth.
3. Specific heat is the measure of the energy (in joules) required to raise the temperature of a particular mass unit of material by one degree Celsius. If the specific heat of water is 4.186 joules/gram degree Celsius, how many joules of energy are required to raise the water found on the moon by 1 degree Celsius? Note: Use the conversion of 1 pound = 453.592 grams. Express you answer as a decimal to the nearest tenth.
Have fun working out the problems!
P.S. Make sure you bring your Math League question set to the next meeting. We will be having a discussion on the problems.
1. 208lbs. By: Simran Dhal
ReplyDelete2. height equals 18.4
3.
Hmm...
ReplyDeleteDon't you think it would be more beneficial if the answers were not posted directly to the blog? I can't think of a solution now, but everybody is just going to copy off the first person.
Simran - great job for working out the problems.
ReplyDeleteYour answer to problem 1 is correct.
The second problem is correct, but you should have rounded to the nearest hundreth, not to the nearest tenth.
Keep trying the third problem until I post the solutions.
--------------------------------------------------
Grace, be sure to try the problems and post your answers. We have a limited amount of time in the Math Club meetings, so the blog problems should be discussed on the blog itself. Math Club meetings should be saved for introducing new concepts and strategies.
--------------------------------------------------
Neha, I got your email. I'm glad you know where to find the problems now :) I can check your answers here.
--------------------------------------------------
Keep working on the problems to enhance your skills. We are going to participate in a few competitions next year, and doing blog problems will come in handy.
Monday, November 22, 2010
ReplyDeleteHomework:
1. Complete "Water on the Moon!" blog problems.
2. Check your Math League Set with the key. Read through the solutions of the problems you missed. If you still have questions, feel free to ask me.
3. Study your MATHCOUNTS study guide if you have time. We might have a quiz on it next Monday.
What is the math counts study guide?
ReplyDeleteI didn't get one!
Also, I find it easier to print the problems out and do the work on that piece of paper.
Here are my answers:
ReplyDelete1. 208 pounds
2. 18.39 inches
3. 22538.7 joules
(I had a little trouble on the third one, so I'm not sure it's right)
Neha, the MATHCOUNTS study guide is the sheet that I gave you that was titled "Challenge of the Week". If you can not find it, I will give you another one.
ReplyDeleteI want everyone to think about the problem and how it was done. The concept of counting and probability (new to you all) was included in this problem. I will return to this concept when we do other math problems of the same type.
The solutions to the above blog problems will be posted by Monday evening.
Good job on the first and second problems. Check your work for the third problem again.
It looks like you guys are having a little trouble on the third blog problem. For help, look at the hint below:
ReplyDeleteFirst convert the given number of pounds to grams:
(208 pounds)(453.592 grams/pound) = 94,347.136 grams
I expect you guys to go from there. Let me know of your answer.
Solutions
ReplyDelete1. 25 gallons (8 pints/ 1 gallon)(1.04 lbs/ 1 pint) = 208 pounds
2. First, let's determine how many cubic inches are present.
25(231) = 5775 cubic inches
Now we can use the volume formula to solve for height.
V = h(r^2)π
5775 = h(10^2)π --> 5775 = h(100π) --> 18.38 = h, to the nearest hundredth.
3. First, let's convert the given number of pounds to grams.
(208 pounds)(453.592 grams/pound) = 94,347.136 grams
Now we can multiply by the specific heat of water to determine the number of joules of energy required.
(94,347.136 grams)(4.186 joules/(gram)(degree C) = 394,937.1 joules/(degree C)
Since we are only raising the temperature by 1 degree Celsius, it will take 394,937.1 joules, to the nearest tenth.
My answers are...
ReplyDelete1)208 pounds
2)18.38 in.
3)394.937.1 joules
Thanks Agni for the help on #3.I understand it now.