Sawyer’s Summer Math Curse 2016! You can run, but you cannot hide. Math is everywhere!!! Introduction Slide Sawyer Conley – Mrs. Jensen – GT Math

The first symptom of the summer math curse… Summer Story #1 The first symptom of the summer math curse… About a month ago, my family and I went on vacation to Mexico for a week. The beaches we swam at in Mexico were much more rocky, and the waves were much smaller than in Ocean City, Maryland. It was much hotter and more humid than in Maryland, also. Almost all the cars were white because white does not absorb heat. Mexico is a different country than the United States and has different money. Mexican money is called pesos, not dollars. I realized that Mexico has different money when the flight attendant on the airplane said we could exchange our U.S. dollars for Mexican pesos in the airport. We did not have to worry about money very much during our vacation because everything at the resort was already paid. However, on our last night of vacation, we went to a mall that had a haunted house. We had to pay for the haunted house, but all we had were U.S. dollars … Summer Story #1

Summer Story #1 Math Problem: The haunted house cost 480 pesos for my entire family, but we didn’t have pesos. We had U.S. dollars. We were told that the exchange rate was 16:1 pesos:dollars. That means that one U.S. dollar equals sixteen Mexican pesos. If the haunted house cost 480 pesos for my family, how many U.S. dollars did we have to spend to be scared? BONUS MATH PROBLEMS: There are five people in my family. How much did the haunted house cost per person in Mexican pesos and U.S. dollars? Math Problem from Summer Story #1

Summer Story #1 ANSWERS: Do you think you have the answers? Click to show the answer to the first Mexican peso math problem… 480 pesos ÷ 16 pesos/dollar = 30 U.S. dollars ($30) for my whole family to go to the haunted house. Now click one more time for the answers to the bonus math problems… 480 pesos ÷ 5 people = 96 pesos per person Or… $30 ÷ 5 people = $6 per person Answer Key for Math Problems from Summer Story #1 By the way, I was not at all scared, but I think my brothers peed their pants.

The second symptom of the summer math curse… Summer Story #2 The second symptom of the summer math curse… My dad likes to give my brothers and me math problems to try to figure out. It doesn’t matter if it is summer or not. Sometimes we will come to breakfast and have to figure out the area of a rectangle before we can eat our scrambled eggs! One of my dad’s favorite math games is the 24 card math game. He will put a 24 game card on the table and see who can figure out an answer first. Summer Story #2

Summer Story #2 Math Problem: I remember two of my favorite 24 cards that my dad gave us this summer. I figured both of them out before my brothers. Lets see if you can figure them out… Use the four numbers and addition, subtraction, multiplication, or division and make it equal 24! 24 Card #1: 24 Card #2: Math Problems from Summer Story #2

Summer Story #2 ANSWERS: Do you think you have the answers? Click to show an answer to the first 24 card math problem… Remember, many 24 Cards have more than one possible solution! 24 Card #1: 24 Card #2: Click one more time to show an answer to the second 24 card math problem… Answer Key for Math Problems from Summer Story #2 One possible answer: 7 × 3 + 5 – 2 = 24 7 × 3 = 21  21 + 5 = 26  26 – 2 = 24! One possible answer: (9 × 2 - 6) × 2 = 24 9 × 2 = 18  18 - 6 = 12  12 × 2 = 24!

The third symptom of the summer math curse… Summer Story #3 The third symptom of the summer math curse… I have already told you about my vacation to Mexico this summer. My family flew from B.W.I Airport to Cancun International Airport in Mexico. On the flight to Mexico, I asked my dad how fast the plane was going. Of course he could not give me a straight answer. He said, “Lets do the MATH!” So we did… Summer Story #3

Summer Story #3 Math Problem: My dad said to calculate speed (he called it average velocity), all we need are distance and time. According to Google Maps, the distance from BWI Airport to Cancun International Airport is 1,394 miles. Flight from Baltimore to Cancun: Southwest Flight 1607 from Baltimore to Cancun departs BWI at 8:50 AM Eastern Standard Time (EST) and lands at Cancun International at 11:35 AM Central Standard Time (CST) *. Flight from Cancun to Baltimore: Southwest Flight 1608 from Cancun to Baltimore departs Cancun International at 12:30 PM CST and lands at BWI at 5:00 PM EST *. Can you calculate the average velocity of the airplane in both directions? Which direction had the tailwind? * Remember there is an hour time change from EST to CST! Math Problems from Summer Story #3

Summer Story #3 ANSWERS: These are average speeds for the plane. Do you think you have the answers? Click to show how I calculated the airplane’s average velocity in both directions. From Baltimore to Cancun: First figure out how long the flight was. 8:50 AM EST to 11:35 AM CST is 2 hours and 45 minutes plus the one hour for the time zone change, so 3 hours and 45 minutes total. 45 minutes is 0.75 hours (45 minutes ÷ 60 minutes/hour = 0.75) So, total flight time equals 3.75 hours 1394 miles ÷ 3.75 hours = 371.7 mph Average Velocity From Cancun to Baltimore: First figure out how long the flight was. 12:30 PM CST to 5:00 PM EST is 4 hours and 30 minutes minus the one hour for the time zone change, so 3 hours and 30 minutes total. 30 minutes is 0.50 hours (30 minutes ÷ 60 minutes/hour = 0.50) So, total flight time equals 3.50 hours 1394 miles ÷ 3.50 hours = 398.3 mph Average Velocity Answer Key for Math Problems from Summer Story #3 Obviously, the tailwind was on the flight from Cancun to Baltimore because the flight was shorter, and that means the plane was going faster. These are average speeds for the plane. The plane did not go in a perfectly straight line (we had to make sure not to fly over Cuba), and the plane was going slower at the beginning and end of the flight. The top speed for the plane was probably over 400 mph. In fact, the Boeing website states that the 737’s cruising speed is 583 mph.

Thank you for watching my “Summer Math Curse” stories!!! I hope you enjoyed them and maybe learned a thing or three. - Sawyer Conley GOOD BYE!