Wednesday Blog
Buon giorno from Italy! My travels so far have been very fun, and I’ve been learning a lot as well! I trust that you all are enjoying Ms. Palen and being the wonderful students I know you are!
I am going to tell you all a bit about what I’ve been doing so far while here in Italy. I’m sure this comes as NO surprise to you, but I’ve been encountering math ALL OVER THE PLACE!! Traveling is always a great example of why it’s important to have some strong fundamental math skills. As I tell you about the trip, I will ask some questions for you to answer. To answer the questions, please write a comment in which you address each question from this post. You might find that you need to use the internet (i.e. a Google search) to find extra information to help you answer the questions! Suggestion: write your response first in Microsoft Word, then copy and paste it into a comment on the blog---this way, any issues with the internet will not cause you to lose your typing. As usual, please respond in complete sentences that are specific and have any necessary supporting details!
Arriving in Italy
I departed from the Raleigh-Durham Airport last Friday, making a stop at JFK Airport in New York, then flying to Rome, Italy. I arrived in Italy at 7:35 am on Saturday morning. I wanted to call my family to let them know I arrived safely, but I first needed to consider what time was it in North Carolina when I arrived in Italy? I then had to travel by a series of trains to my first destination, Sorrento. I boarded a train that left the airport at 8:08 am and took 32 minutes to get into the main station in Rome—Roma Termini. I knew there were trains that departed from Roma Termini at 8:45 am and at 9:40 am. Which of those trains do you think I was able to catch to my next connection city, Naples? The train ride to Naples took about 70 minutes, and then I had to catch one more train (which also took about 70 minutes) after a brief layover in the Naples train station. Can you estimate when I arrived in my final destination of Sorrento? These were important calculations for me to do so that I could alert the hotel shuttle of my arrival time.
Once in Sorrento, I explored the area around my hotel, rested, and ate dinner. The cost of my dinner was 30 euros. About how many U.S. dollars did I spend on my dinner?
I then had to make a decision about what I was going to do on Sunday. My fiancé had to be at conference in the next town over by 16:00 (they use 24 hour time here, how would we express 16:00 at home?). We hoped to go to Capri, a small island with beautiful scenery and grottos (coastal caves). The first boat for Capri departed Sorrento at 9:40 and took 20 minutes to get to Capri. The tour of Capri and its most famous grotto (Grotto Azzuro) was suggested to take approximately 3 hours. In order to catch the last bus of the day to the train station, we would need to be back to Sorrento by 12:30. Do you think we had time to go to Capri on this day? Keep in mind that separating was not a choice, it's much safer to travel with a buddy!
Okay, spoiler alert, here’s a freebie: we did not have time to go to Capri on Sunday. Instead, we explored the city of Sorrento. We saw the local port and marina, a few small beaches, ruins of an old mill, and even some ancient Roman ruins. We explored an old church, went in and out of shops, and enjoyed beautiful views of Mount Vesuvius across the Gulf of Naples before having lunch in the main square of the city. We then took a 10-minute train ride to Vico Equense, the town in which we would be spending the next 5 days. The train departed at 14:22. What time did we arrive in Vico Equense, expressed in non-24 hour time (they way we would display the time in NC)? The first day in Vico Equense consisted of exploring the town and having dinner.
Vico Equense, like much of the region here, is elevated above the water. The towns and cities are perched on mountains and cliffs on a peninsula that is surrounded by the Gulf of Naples to the north and the Gulf of Salerno to the South. The next day, Monday, I decided I would hike down and explore the part of town that was at sea level. On the map, the route I picked appeared to be about 400 meters long. What I did not account for was the descent when estimating the length of my hike. My starting point was 90 meters above sea level. About how far did I actually walk for the round trip? This one might be a little tricky for Math 1 students, Math 2 students, you should know how to figure it out for sure! You can assume that my horizontal distance was exactly 400 meters and my vertical distance was exactly 90 meters.
That evening, I went to a restaurant for dinner called Pizza a Metro (Pizza by the Meter). The people in Vico Equense say that THIS is the town where pizza was invented, and this restaurant served pizza by the meter, just as it’s name suggests. Imagine a giant pizza that is a meter long and about 20 cm wide! The menu says that a meter of pizza would serve 5 people. Since there are 36 students in Math 1 & 2, how many meters of pizza would we need for a pizza party in Vico Equense?
Hopefully you can see that while I am not using complex or advanced math, it has been very important for me to understand fundamental math for dealing with time, currency, and distance. I look forward to reading you comments on this post, and telling you more about the trip later this week! Ciao!
Check out these photos of the trip so far:
Note: Please excuse any typos on this post, I only have Internet access on my phone here. Feel free to let me know if you notice any spelling or grammar errors!
This comment has been removed by a blog administrator.
ReplyDeleteWhat time was it in North Carolina when I arrived in Italy?
ReplyDeleteIt was about 1:35pm in North Carolina because there is an approximate 6 hour time difference between the two places.
Which of those trains do you think I was able to catch to my next connection city, Naples?
You could catch both trains, but you would arrive at the station at about 8:40am
Can you estimate when I arrived in my final destination of Sorrento?
You would arrive at about 11:05 because the two train rides took about 2 hours and 20 minutes so that added to 8:45 would be 11:05
About how many U.S. dollars did I spend on my dinner?
You spent about 38 dollars because 1 euro is about 1 dollar and 30 cents and 1.30 multiplied by 30 is about 38
How would we express 16:00 at home?
We would express 16:00 as 4:00pm because 4:00 is the 16th hour in a 24 hour day.
Do you think we had time to go to Capri on this day?
You didn’t have time to go to Capri because you would arrive by 10:00 and the tour itself would end at 1:00
What time did we arrive in Vico Equense, expressed in non-24 hour time?
You arrived at 2:32 because the 10 minute train ride would make you arrive at 14:32 and 2:00 is the 14th hour in a 24 hour day
About how far did I actually walk for the round trip?
You walked about 820 meters because 90 squared plus 400 squared is 168100 and the square root of that is 410 and that multiplied by two is 820
Since there are 36 students in Math 1 & 2, how many meters of pizza would we need for a pizza party in Vico Equense?
We would need 8 pizzas because 8*5=40 so we will have 4 servings left for me :)
(This is Lucy, by the way)
ReplyDeleteIt was 1:35 A.M. when you arrived in Italy
I think you were able to catch the 8:45 A.M. train
You arrived in Sorrento at approx. 11:05
You spent $38.1 on your dinner
We express 16:00 as 4:00 in the States
You didn’t have time to go to Capri! You would have arrived at 10:00, if you departed at 9:40 and took 20 minutes to get there. Add the three hour tour to that, and you get 1:00. You’d be 50 minutes late!
You arrived in Vico Equense at 2:32
I’m not 100% sure, but I believe you walked 820 meters for the round trip
We would need 8 meters of pizza for 36 people. (Except Sigrid can’t eat pizza, so we could probably make do with 7!)
q1 it would be 2:35 in North Carolina
ReplyDeleteq2 you would be able to make the 8:45 train
q4 dinner would cost approximately 38.1$
q5 it would be 4:00 in North Carolina
q6 no
q7 you would arrive at about 2:32 pm
q8 490 meters hike
q9 7.2 meters of pizza
PIZZA PIZZA!!!
1 If it was 7:35 in italy it would be 1:35 am because italy is 6 hours ahead of us.
ReplyDelete2 You would have arrived at 8:40 if you didn’t have delays and you would have had 5 minutes to get to the train place which I think is do able so you took the 8:45 train.
3 You arrived at 11:05 am in sorrento.
4 You spent $38.03 on your first meal in Italy.
5 16:00 here is considered 4 p.m.
6 You didn’t have time to go to capri if you wished to catch the bus in sorrento.
7 You would have arrived at 2:32 pm in vico equense
8 you walked 820 meters assuming you walked all the way to sea level and back.
9 7 ½ meters of pizza would serve all 36 students in cc1 and 2.
1 If it was 7:35 in italy it would be 1:35 am because italy is 6 hours ahead of us.
ReplyDelete2 You would have arrived at 8:40 if you didn’t have delays and you would have had 5 minutes to get to the train place which I think is do able so you took the 8:45 train.
3 You arrived at 11:05 am in sorrento.
4 You spent $38.03 on your first meal in Italy.
5 16:00 here is considered 4 p.m.
6 You didn’t have time to go to capri if you wished to catch the bus in sorrento.
7 You would have arrived at 2:32 pm in vico equense
8 you walked 820 meters assuming you walked all the way to sea level and back.
9 7 ½ meters of pizza would serve all 36 students in cc1 and 2.
If it is 7:35 in Italy, it’s 1:35 in NC time. I think you caught the 8:45 train...? You arrived at your destination at around 9:55. You spent around 38.1 U.S. currency on dinner. If it’s 16:00 in Italy, it’s 10:00 in NC. You did not have enough time for Capri. You arrived in Vico Equense in 14:32, 8:32 NC time. You walked about 1436.6 meters. 7.2 meters of pizza to feed all (assumed adult) students.
ReplyDelete-It was 1:35 am in Durham when it was 7:35 am in Rome.
ReplyDelete-I think you were able to get to the 9:40 train, unless you were able to speedrun to the 8:45 one in 5 minutes.
-I think you got to Sorrento at around 12:00 pm.
-The total cost of your dinner was $38.10 in USD.
-We would express 16:00 with 4:00 pm in America.
-I do not think you had any time to go to Capri because of the useful freebie you gave us.
-You would arrive in Vico Equense at 2:32 pm.
-The round trip you did with your hike was 820 meters all together.
-To serve every one of us pizza, we would need 7.2 meters of pizza
-Daniel
It would be 1:35 am here in North Carolina.
ReplyDeleteYou would be able to catch the 845 train.
You would probably be in Naples by 1120.
$38.03 in USD is what you spent on dinner.
1600 hours is 4:00.
I don’t think you could have done the tour, but go on a self-guided tour, yes, you could have done it.
You would have arrived at 2:32 pm.
You did 820 meters round trip.
We would need 7.2 meters of pizza.
-Sigfried Fullenkamp
It would be 1:35 am here in North Carolina.
ReplyDeleteYou would be able to catch the 845 train.
You would probably be in Naples by 1120.
$38.03 in USD is what you spent on dinner.
1600 hours is 4:00.
I don’t think you could have done the tour, but go on a self-guided tour, yes, you could have done it.
You would have arrived at 2:32 pm.
You did 820 meters round trip.
We would need 7.2 meters of pizza.
Roksana Cerne 10/8/14
ReplyDeleteIt was 1:35 AM in North Carolina when you would have called.
If you rushed you would have made the one at 8:45 because you would have arrived and had 5 minutes to spare.
I would say you would have arrived at approximately 11:20.
You spent $38.03 on dinner when you spent 30 euros.
If your fiance had to be the and 16:00 24 hour time we would say he had to be there at 4:00 PM.
No you would not have had enough time to take the tour because you arrived at 10:00 and it was a 3 hour tour and you had to leave by 12:30 so you were 30 minutes short on time.
You would have arrived in the town at 2:32 PM.
The round trip walk you did would have been 820 meters.
If you had to order full pizzas you would have to purchase 8 pizzas to feed all 36 kids.
1 If it was 7:35 in italy it would be 1:35 am because italy is 6 hours ahead of us.
ReplyDelete2 You would have arrived at 8:40 if you didn’t have delays and you would have had 5 minutes to get to the train place which I think is do able so you took the 8:45 train.
3 You arrived at 11:05 am in sorrento.
4 You spent $38.03 on your first meal in Italy.
5 16:00 here is considered 4 p.m.
6 You didn’t have time to go to capri if you wished to catch the bus in sorrento.
7 You would have arrived at 2:32 pm in vico equense
8 you walked 820 meters assuming you walked all the way to sea level and back.
9 7 ⅕ meters of pizza would serve all 36 students in cc1 and 2.
corrected!!!!!!!!!!!!!!!!!!!!
When you arrived in Italy at 7:35 am the time in North Carolina was 6 hours later, as the time in Italy is 6 hours ahead, meaning that it was 1:35 pm.
ReplyDeleteAfter arriving to Roma Termini at 8:40 you were most likely able to take the 8:45 train to Naples.
You finally arrived at your destination at 11:05 am after 2 hours and 20 minutes of travel by train which if added to 8:45=11:05.
Your dinner at the hotel cost you about $38.10 as one euro is equal to $1.27.
1600 hours in military time is also equal to 4 pm which is the same equivalent to 16:00 in 24 hour time.
You were not able to go to Capri specifically because in the 20 minutes it took to get to Capri, it was 10:00 am, and the three hours tour would last till 1 pm, meaning you wouldn't have been able to catch the 12:30 bus.
In non-24 hour time, you arrived at Vico Equense at 2:32 pm.
A^2+B^2=C^2 90 is the a value, 400 is the b value. In order to solve for C you simplify the left side of the equation to end up with 168,100=C^2. Afterwards, in order to make C be by itself, you find the square root of both sides of the equation leaving you with 410=C. But because this is a round trip you must multiply 410 by 2, meaning the trip was in total 820 meters.
Because one meter of pizza feeds 5 people, and there are 36 students in both math classes, 7 .2 meters of pizza would be needed to feed the exact amount of students in advanced math. 36/5=7.2 If Ms.Moffitt were to be included in this party, then 7.4 meters of pizza would be needed!!!!
What time was it in North Carolina when I arrived in Italy?
ReplyDeleteBecause Italy is 6 hours ahead of North Carolina, the time in North Carolina is 1:35 a.m.
(7:35 a.m. - 6 hours = 1:35 a.m.)
Which of those trains do you think I was able to catch to my next connection city, Naples?
You were able to catch the train that left Roma Termini at 8:45 am.
(8:08 a.m. + 32 minutes = 8:40.)
Can you estimate when I arrived in my final destination of Sorrento?
You arrived at your final destination about 11:20 to 11:30ish.
8:35 + 70 minutes (train ride) + 15 minutes (layover time)+ 70 minutes (train ride)= 11:20 a.m. I ADDED A FEW MORE MINUTES FOR THE TIME IT TOOK TO GET ON AND OFF THE TRAINS AND JUST IN CASE THE BRIEF LAYOVER WAS LONGER THAN 15 MINUTES.
About how many U.S. dollars did I spend on my dinner?
You spent around $38 (38.19) worth of U.S. money in euros on your dinner.
I know this because the value of one euro is equal to 1.27 U.S. dollars. (1.27 x 30 = 37.98)
How would we express 16:00 at home?
At home, you would express 16:00 as 4:00. (16 - 12 = 4)
Do you think we had time to go to Capri on this day?
You did not have enough time to go to Capri on this day because the tour would still be happening at 12:30, which is when you need to be back to Sorrento.
(9:40 + 20 minutes (TRAVEL TO CAPRI) + 3 hours (TOUR) = 1 pm)
What time did we arrive in Vico Equense, expressed in non-24 hour time (they way we would display the time in NC)?
You arrived at Vico Equense at 2:22.
14:22 - 12 = 2:22
About how far did I actually walk for the round trip?
You walked about 820 meters for the round trip.
(I found this out using the Pythagorean Theorem.
90(90) + 400(400) = 168,100
THE SQUARE ROOT OF 168,100 = 410
410 + 410 = 820 meters [ROUND DISTANCE])
Since there are 36 students in Math 1 & 2, how many meters of pizza would we need for a pizza party in Vico Equense?
Because each meter of pizza feeds five people, we would need 7.2 meters of pizza for the 36 students in Math 1 and Math 2.
(36/5 = 7.2)
What time was it in North Carolina when I arrived in Italy?
ReplyDeleteBecause Italy is 6 hours ahead of North Carolina, the time in North Carolina is 1:35 a.m.
(7:35 a.m. - 6 hours = 1:35 a.m.)
Which of those trains do you think I was able to catch to my next connection city, Naples?
You were able to catch the train that left Roma Termini at 8:45 am.
(8:08 a.m. + 32 minutes = 8:40.)
Can you estimate when I arrived in my final destination of Sorrento?
You arrived at your final destination about 11:20 to 11:30ish.
8:35 + 70 minutes (train ride) + 15 minutes (layover time)+ 70 minutes (train ride)= 11:20 a.m. I ADDED A FEW MORE MINUTES FOR THE TIME IT TOOK TO GET ON AND OFF THE TRAINS AND JUST IN CASE THE BRIEF LAYOVER WAS LONGER THAN 15 MINUTES.
About how many U.S. dollars did I spend on my dinner?
You spent around $38 (38.19) worth of U.S. money in euros on your dinner.
I know this because the value of one euro is equal to 1.27 U.S. dollars. (1.27 x 30 = 37.98)
How would we express 16:00 at home?
At home, you would express 16:00 as 4:00. (16 - 12 = 4)
Do you think we had time to go to Capri on this day?
You did not have enough time to go to Capri on this day because the tour would still be happening at 12:30, which is when you need to be back to Sorrento.
(9:40 + 20 minutes (TRAVEL TO CAPRI) + 3 hours (TOUR) = 1 pm)
What time did we arrive in Vico Equense, expressed in non-24 hour time (they way we would display the time in NC)?
You arrived at Vico Equense at 2:22.
14:22 - 12 = 2:22
About how far did I actually walk for the round trip?
You walked about 820 meters for the round trip.
(I found this out using the Pythagorean Theorem.
90(90) + 400(400) = 168,100
THE SQUARE ROOT OF 168,100 = 410
410 + 410 = 820 meters [ROUND DISTANCE])
Since there are 36 students in Math 1 & 2, how many meters of pizza would we need for a pizza party in Vico Equense?
Because each meter of pizza feeds five people, we would need 7.2 meters of pizza for the 36 students in Math 1 and Math 2.
(36/5 = 7.2)
What time was it in North Carolina when I arrived in Italy?
ReplyDeleteBecause Italy is 6 hours ahead of North Carolina, the time in North Carolina is 1:35 a.m.
(7:35 a.m. - 6 hours = 1:35 a.m.)
Which of those trains do you think I was able to catch to my next connection city, Naples?
You were able to catch the train that left Roma Termini at 8:45 am.
(8:08 a.m. + 32 minutes = 8:40.)
Can you estimate when I arrived in my final destination of Sorrento?
You arrived at your final destination about 11:20 to 11:30ish.
8:35 + 70 minutes (train ride) + 15 minutes (layover time)+ 70 minutes (train ride)= 11:20 a.m. I ADDED A FEW MORE MINUTES FOR THE TIME IT TOOK TO GET ON AND OFF THE TRAINS AND JUST IN CASE THE BRIEF LAYOVER WAS LONGER THAN 15 MINUTES.
About how many U.S. dollars did I spend on my dinner?
You spent around $38 (38.19) worth of U.S. money in euros on your dinner.
I know this because the value of one euro is equal to 1.27 U.S. dollars. (1.27 x 30 = 37.98)
How would we express 16:00 at home?
At home, you would express 16:00 as 4:00. (16 - 12 = 4)
Do you think we had time to go to Capri on this day?
You did not have enough time to go to Capri on this day because the tour would still be happening at 12:30, which is when you need to be back to Sorrento.
(9:40 + 20 minutes (TRAVEL TO CAPRI) + 3 hours (TOUR) = 1 pm)
What time did we arrive in Vico Equense, expressed in non-24 hour time (they way we would display the time in NC)?
You arrived at Vico Equense at 2:22.
14:22 - 12 = 2:22
About how far did I actually walk for the round trip?
You walked about 820 meters for the round trip.
(I found this out using the Pythagorean Theorem.
90(90) + 400(400) = 168,100
THE SQUARE ROOT OF 168,100 = 410
410 + 410 = 820 meters [ROUND DISTANCE])
Since there are 36 students in Math 1 & 2, how many meters of pizza would we need for a pizza party in Vico Equense?
Because each meter of pizza feeds five people, we would need 7.2 meters of pizza for the 36 students in Math 1 and Math 2.
(36/5 = 7.2)
I departed from the Raleigh-Durham Airport last Friday, making a stop at JFK Airport in New York, then flying to Rome, Italy. I arrived in Italy at 7:35 am on Saturday morning. I wanted to call my family to let them know I arrived safely, but I first needed to consider what time was it in North Carolina when I arrived in Italy?
ReplyDeleteThe time was 1:35 in North Carolina when you arrived in Rome, Italy, since Rome is 6 hours ahead of Durham, North Carolina.
I then had to travel by a series of trains to my first destination, Sorrento. I boarded a train that left the airport at 8:08 am and took 32 minutes to get into the main station in Rome—Roma Termini. I knew there were trains that departed from Roma Termini at 8:45 am and at 9:40 am. Which of those trains do you think I was able to catch to my next connection city, Naples?
You could catch the 8:45 train, since it would be 8:40 when you arrived at Roma Termini. 8:08+32 minutes= 8:40.
The train ride to Naples took about 70 minutes, and then I had to catch one more train (which also took about 70 minutes) after a brief layover in the Naples train station. Can you estimate when I arrived in my final destination of Sorrento?
You would arrive at Sorrento around 11:20-11:30. 8:45+70+15 minutes layover time+70=11:20
Once in Sorrento, I explored the area around my hotel, rested, and ate dinner. The cost of my dinner was 30 euros. About how many U.S. dollars did I spend on my dinner?
You spent around 38.00 dollars. 1 euro=1.27 US dollars and 1.27*30=38.01, roughly 38.00
My fiancé had to be at conference in the next town over by 16:00 (they use 24 hour time here, how would we express 16:00 at home?)
We would express 16:00 as 4:00 pm here in the States. To convert 24 hour time to 12 hour time for the times over 12, you subtract 12 from them. Ex: 13:00-12= 1:00. I know this cuz i got dat military time tho.
The first boat for Capri departed Sorrento at 9:40 and took 20 minutes to get to Capri. The tour of Capri and its most famous grotto (Grotto Azzuro) was suggested to take approximately 3 hours. In order to catch the last bus of the day to the train station, we would need to be back to Sorrento by 12:30. Do you think we had time to go to Capri on this day? Keep in mind that separating was not a choice, it's much safer to travel with a buddy!
Unfortunately, you did not have enough time to go to Capri. You would end the tour at 1:00 (9:40+20=10:00+3=13:00) and you have to get back to Sorrento at 12:30.
We then took a 10-minute train ride to Vico Equense, the town in which we would be spending the next 5 days. The train departed at 14:22. What time did we arrive in Vico Equense, expressed in non-24 hour time (they way we would display the time in NC)?
You arrived at Vico Equense at 2:32 (14:22=2:22. 2:22+10= 2:32)
about 400 meters long. What I did not account for was the descent when estimating the length of my hike. My starting point was 90 meters above sea level. About how far did I actually walk for the round trip? This one might be a little tricky for Math 1 students, Math 2 students, you should know how to figure it out for sure! You can assume that my horizontal distance was exactly 400 meters and my vertical distance was exactly 90 meters.
400 & 90 are the legs. 400 sq+90 sq= 168100-then take root = 410
You walked about 820 meters round trip.
Imagine a giant pizza that is a meter long and about 20 cm wide! The menu says that a meter of pizza would serve 5 people. Since there are 36 students in Math 1 & 2, how many meters of pizza would we need for a pizza party in Vico Equense?
36/5= 7.2. We would need around 7 and a bit. Having 7 meters is not quite enough, and 8 is a waste unless you give the rest to someone.
Joshua Nixon
ReplyDelete10/8/14
What time was it in North Carolina when I arrived in Italy?
If it was 7:35 am in Italy then it would ~12:35 am because Italy is 7 hours ahead of us, so 7:35-7:00= 24:35.
Which of those trains do you think I was able to catch to my next connection city, Naples?
I think that that you only had time to catch the 9:40 train so you would have an hour to collect your belongings.
Can you estimate when I arrived in my final destination of Sorrento?
You arrived around 12:00 because 70+70+9:40=12:00
About how many U.S. dollars did I spend on my dinner?
$1.27×€30=$38.10
How would we express 16:00 at home?
16:00-12:00=4:00 pm
Do you think we had time to go to Capri on this day?
No, because 9:40+:20+3:00=13:00
What time did we arrive in Vico Equense, expressed in non-24 hour time (the way we would display the time in NC)?
0:10+14:22=14:32-12:00=2:32 pm
About how far did I actually walk for the round trip? This one might be a little tricky for Math 1 students, Math 2 students, you should know how to figure it out for sure! You can assume that my horizontal distance was exactly 400 meters and my vertical distance was exactly 90 meters.
902=8100 4002=160000+8100=√168100=410×2=820
Since there are 36 students in Math 1 & 2, how many meters of pizza would we need for a pizza party in Vico Equense?
36÷5=7.2