Today you will be completing two tasks. The first task is to present your perspective on AIMS assessments. The second is a math problem. Be sure to fully explain your answer, that means show how you got your answer. If you use symbolic notation understand that an equation is a tool to support proof. Explain what each of the parts of your equation represent and why they are important or why you have considered these factors.
PART 1
Here are questions I would like you to address:
1. Do you like AIMS?
2. Does AIMS show what you personally know?
3. If you wanted to demonstrate what you have learned this year - how would you go about
proving your new mathematical understandings?
PART 2 - THE PROBLEM
Fred and Frank are two fitness fanatics on a run from A to B. Fred
runs half the way and walks the other half. Frank runs half the time,
and walks the other half. The two run at the same speed and walk at
the same speed.
Who finishes first?
Ms. Leckman
6 comments:
HR
PART 1:
I do not like AIMS. I think that stressing us out about a test that will record our intelligence on one day in one month is stupid. Also everything we learn now is revolved around AIMS, which personally I think would take the fun out of teaching. My mom complains about it all the time, and she only teaches 2nd graders. I don’t think that it shows what we personally know because the test has a bunch of questions they expect us to know about different things, and some people are better at certain types of math, or reading than other things. So in the test it limits us to only show off some skills in that subject. I think a better way to demonstrate our skills in what we have learned is to be able to write about it ourselves, or give some sort of presentation. I do better with hands on activities, or talking about it.
PART 2:
I think that Frank finishes first because it doesn’t say he walks half and runs half; it just says he runs half the time and walks half the time. Half the time is just half the time in takes him to finish. So he could walk while Fred is running but when Fred starts walking, he can run the rest the way and pass up Fred to finish first.
SM
PART 1
1.
I do like AIMS because it’s a chance to show how smart you are. Also, it gives you a break from class. AIMS is easier to do because it’s a review of what you know which is easy.
2.
I think AIMS shows what I know because there are specific questions that show that you are smart. Each question definitely shows what you personally know.
3.
If I wanted to show how much I learned this year I would take tests and AIMS would really help. They would show personally how much I have paid attention and how much I’ve learned. But AIMS is on a given day and a given time so you could take the test next week and have a totally different score.
PART 2
There are many different ways the run could turn out. But, I think Frank would win in the end. At the first half of the run Fred would be running, and the other half he would be walking. But Frank could win because he can walk and run when ever he wants during the whole run. This means that he could be running, then walking, then running…etc. At the end of the race Frank would win.
1. I do like AIMS. I like it better than regular school because I think it is easier and I feel like I understand more on the AIMS than in class. We also get to play card games when everyone is done. Haha
2. AIMS do show what I personally know. I felt really smart while I was taking the test.
3. Well, tests always show what I know. I feel that AIMS is a good way too. I feel very confident on how I did on the AIMS.
At first I thought that they were both doing the same thing until Jill told me that Frank ran half the time not half the way like Fred did. I think that this can turn out a bunch of different ways and it will also work out to Frank’s advantage if he was smart. See, they would be doing pretty much the same thing if Fred used half the time running first and then walking. But he can also divide the time how ever he wants. He can run for a bit until he gets tired and then start walking but then run again if he hasn’t used up all his time. So at the end of the race when Fred is walking and Frank hasn’t use up all his time, he can run and win. So it depends on Frank’s intelligence.
EMK
BJ
April 11, 2008
Period 8-9
POW (Part 1)
1. I do not like AIMS. It is, in my opinion, very boring. It is only given on a certain week. If you are not having such a good week or you didn’t have a good weekend before the AIMS week that could affect your score. Who knows, the next week could have been better for you. On that week, you know that you could have done better. Set, standardized tests do not make much sense to me. When given particular dates and times, you can feel limited. Whenever I feel limited, I tend not to perform to my best abilities. This test asks a lot from you and is only measuring your standards for that year so you are not allowed to retake unless you are not present or punctual.
2. AIMS do not show all that you know. It is only for your grade level. For kids that are in the same grade level, but perform at a lower standard, this may be a bit difficult for them. This concept is somewhat the same as for ADV and AEP students. ADV and AEP students perform on a higher level than our actual grade level. We are not able to show all that we know because we are only tested on our grade level. We are not graded on our skill level.
3. You can go about proving your new mathematical understandings by doing better on your school work. Over the year’s courses, your teacher would probably find an increase in understanding from you. Whatever you learn in the same year after AIMS, you can not apply that knowledge until you are tested again next year.
BJ
April 11, 2008
Period 8-9
POW (Part 2)
The distance is from A to B. Suppose that Fred and Frank can run about 8mph and walk at 6mph. The total distance is 24 miles. That is 24/8 to find out how long it would take both guys to get to the finish line if they ran the whole time. If Fred runs half the distance, he is running about 12 miles. That means that Fred stops running at the 12th mile in 1 ½ hours. Fred would then walk the rest of the distance (12 more miles). It takes Fred 2 more hours to finish the race.
Total time Fred ends: 3 ½.
Total distance covered by Fred: 24 miles.
Fred and Frank run about 8mph and walk 6mph. that is still 24/8 to see how long it would take for both guys to finish if they ran the whole way. Frank only ran half the time. The total time to get to the finish line was 3 hours, by running the whole way. That means that Frank stated walking after 1 ½. Fred also started walking after 1 ½. The distance left fro the two men is 12 miles. Frank would then take 2 more hours to get to the finish line as well.
Total time Frank ends: 3 ½.
Total distance covered by Frank: 24 miles.
Fred started walking after half the distance. Frank started walking after half the time. Even though this happened, they both started walking at the same time and distance. Since they probably do have the same average walking and running rate, it is safe to say that they both finished at the same time.
POW for April 11
D.E.
Questions
1. Do you like Aims?
2. Does Aims show what you know?
3. If you wanted to demonstrate what you learned is this how you would go about proving your mathematical understandings.
4. Fred and Frank are running from point A to B. Fred runs half the way and walks the other half. Frank runs half the time and walks half the time they run and walk at the same rate. Who wins?
Answers
1. I think Aims is a cool part about school. I think it’s cool because you get to take a break from school, and take particularly easy and sometimes confusing tests. It’s also fun because you can take a break in the middle, and have a snack. Also, there is no homework for the whole week, so you’re basically free for the week. And, you miss out some classes, and if you’re really concentrating you and finish faster than normal then you can read the book you brought, which you purposively like. So I think I like it.
2. I think Aims shows partly what you know. The questions don’t expand a lot; they show a lot of categories but not all of the ways we know. I think it shows what you know certainly in one day on a particular time.
3. Well, I would extend the tests to one month, so it could go into more categories. Then, we could be tested on more of the stuff we learned that we particularly don’t use.
4. The total distance is 100 meters. Both run 10 meters per 5 seconds, and both walk 10 meters per 10 seconds. They are trying to get from point A to B, and each one is trying to make it faster than the other one. So they start the race, and Fred sprints off, while Frank power walks behind him. So Fred runs for 50 seconds, and gets to 50 meters while Frank at 50 seconds has gotten to 25 meters. Then, halfway through the race Frank starts sprinting and putting his saved energy to use, while Fred goes into power walking. Frank makes it to 75 meters, while Fred ties up with him. Then Fred starts running, and Frank starts walking again, and Fred runs away with the win. He wins by 6.25 seconds.
P.O.W. C.H.
Part one:
1. I’ve never liked AIMS but I liked it better in previous years than in this year. The reason I like previous years better is I would finish quickly then would be able to read when I was done. This year though you can’t read when you’re done so I’m stuck waiting with nothing to do.
2. I don’t believe that AIMS shows what you personally know because it really depends on how you’re feeling that week. Also, all you are doing is bubbling, which I don’t personally mind, but some people just randomly guess and often times guess the correct answer without thinking. That way people can get the answer to a problem they don’t know. Bubbling makes things easier but I still think that you should think about the problem before filling in the answer.
3. I can’t really think of anyway to change the way other people take the AIMS but I first work out the problem then check to see if the answer I got is one of the answers that you can choose from. If my answer is there I fill it in but if my answer isn’t there I rework the problem.
Part two:
Let’s say that the race is one mile long. I am going to say that they run at 6 MPH and they walk at 3 MPH. If they jogged the whole time it would take each of them ten minutes to jog the whole race. Because Fred only runs half the way and walks the other half, it will take him five minutes to go half way, then because it takes him twice as long to walk the same distance at half the speed, he will take ten minutes to only go half way. At half his running speed would take him ten minutes to reach the finish line from the half way point. So in all he would finish the race in approximately fifteen minutes. Now to Frank, because he runs only half of the time he is running. He would make it to the finish in ten minutes if he ran the whole way. So he would only be running for five minutes. By that time he would get half way to the finish line. Then if he walked the rest of the way it would take him ten minutes. So he walks five minutes and then jogs for another two minutes and thirty seconds. Then he walks another minute and fifteen seconds. Then he jogs for another 37 seconds, walks for 18 seconds, jogs for nine seconds, walks for 4.5 seconds, then jogs for 2.25 seconds. He has then made it to the finish in 14 minutes and 55 seconds, only about five seconds ahead of Fred.
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