Tuesday, April 20, 2010
MathCounts Competition
Calvert School's MathCounts team competed in February against schools from all over the Baltimore Metro and Chesapeake Bay areas. While we did not place in the top 6 this year, I am still proud of our team. The students who completed include Giorgio Caturegli, Dale Waters (top scoring team member!), Eddie Van Dyke, Alice White, Kendall Reitz, and Anna Dorsey.
Wednesday, January 6, 2010
Problems of the Month--January 2010
A Look At The Past Decade – The Problems
January 04, 2010
2010 is the start of a new decade, so here are a few New Year's problems.
1. At the start of the last decade everyone was concerned about Y2K... Well, we made it. Y2K was here and gone with no major problems. Interesting thing about the first date of the new millennium, 01/01/00 - when the digits of that date are added, it's the smallest possible sum of any date. What date during the next century, when written in that form, will have the greatest possible sum of its digits?
2. This New Year's date, 01/01/10, has a sum of digits equal to three. Find ten dates with the same sum of digits.
3. How many seconds will occur this millennium (the year 2000 through the year 2999)? Express your answer in scientific notation.
4. New Year's eve is a time when many people make resolutions...
Kaitlyn decided that she would like to read more during 2010, so she made a resolution to read 30 minutes each day. If Kaitlyn reads an average of 1 page every 2 minutes and she finishes her 6th book at the end of her reading session on March 31, 2010, what would be the average number of pages per book for these six books?
5. Nora’s resolution is to get more exercise. She decided that starting with the first full week in 2010, she will do a 45-minute workout four times each week (four days during every seven-day period). This means she will have to exercise four of the days during the week of Jan. 1 through Jan. 7, and then four of the days during the week of Jan. 8 through Jan. 14, and so on. If Nora sticks to her resolution, what is the first possible date on which she could reach a total of 25 hours of exercise for the year?
January 04, 2010
2010 is the start of a new decade, so here are a few New Year's problems.
1. At the start of the last decade everyone was concerned about Y2K... Well, we made it. Y2K was here and gone with no major problems. Interesting thing about the first date of the new millennium, 01/01/00 - when the digits of that date are added, it's the smallest possible sum of any date. What date during the next century, when written in that form, will have the greatest possible sum of its digits?
2. This New Year's date, 01/01/10, has a sum of digits equal to three. Find ten dates with the same sum of digits.
3. How many seconds will occur this millennium (the year 2000 through the year 2999)? Express your answer in scientific notation.
4. New Year's eve is a time when many people make resolutions...
Kaitlyn decided that she would like to read more during 2010, so she made a resolution to read 30 minutes each day. If Kaitlyn reads an average of 1 page every 2 minutes and she finishes her 6th book at the end of her reading session on March 31, 2010, what would be the average number of pages per book for these six books?
5. Nora’s resolution is to get more exercise. She decided that starting with the first full week in 2010, she will do a 45-minute workout four times each week (four days during every seven-day period). This means she will have to exercise four of the days during the week of Jan. 1 through Jan. 7, and then four of the days during the week of Jan. 8 through Jan. 14, and so on. If Nora sticks to her resolution, what is the first possible date on which she could reach a total of 25 hours of exercise for the year?
Thursday, November 12, 2009
American Math Challenge
This month, there are over 40 students participating in the American Math Challenge! Stay tuned for the results for Calvert School! There will be no Problems of the Month for November.
Visit www.americanmathchallenge.com for more information about the competition.
Wednesday, October 7, 2009
Problems of the Month--October
Back Home At Last!
Loggerhead Sea Turtle General info:
Size: Typically 2.5 to 3.5 feet in carapace length (73-107 cm).
Weight: Adult weigh up to 350 pounds (159 kg).
Diet: Primarily carnivorous and feed mostly on shellfish that live on the bottom of the ocean. They eat horseshoe crabs, clams, mussels, and other invertebrates. Their powerful jaw muscles help them to easily crush the shellfish.
Habitat: Prefer to feed in coastal bays and estuaries, as well as in the shallow water along the continental shelves of the Atlantic, Pacific and Indian Oceans.
Nesting: Nest at intervals of 2, 3, or more years. They lay 4 to 7 nests per season, approximately 12 to 14 days apart. Lays average of between 100 to 126 eggs in each nest. Eggs incubate for about 60 days.
Status:U.S. - Listed as Threatened (likely to become endangered, in danger of extinction, within the foreseeable future) under the U.S. Federal Endangered Species Act.International - Listed as Endangered (facing a very high risk of extinction in the wild in the near future) by the International Union for Conservation of Nature and Natural Resources.
Threats to Survival: The greatest threat is loss of nesting habitat due to coastal development, predation of nests, and human disturbances (such as coastal lighting and housing developments) that cause disorientations during the emergence of hatchlings. Other major threats include incidental capture in longline fishing, shrimp trawling and pollution. Incidental capture in fisheries is thought to have played a significant role in the recent population declines observed for the loggerhead.
Population Estimate: 44,560 nesting females.
________________________________________________
On September 19, the National Aquarium in Baltimore released a Loggerhead Sea Turtle that had been in their care for over a year. The turtle was back home at last!
1. When the turtle was rescued it couldn’t swim or dive properly (both skills are needed for catching food). Part of the reason for his impairment was the 10 pounds of hitchhiking barnacles, mollusks, and sea grass that had attached themselves to the turtles shell. Once the 10 pounds of “hitchhikers” were removed they found the turtle was severely underweight! Weighing only 64 pounds with a clean shell, what percent of his weight at capture was due to the “hitchhikers”? Express your answer to the nearest tenth.
2. Once the turtle’s shell was cleaned off he was able to swim and dive properly which allowed him to catch food and enabled him to reach a healthy weight. Upon release, the turtle weighed 90 pounds, which is an ideal weight for the turtle!! By what percent did the turtle’s weight (without the hitchhikers) increase while in rehabilitation? Express your answer to the nearest thousandth.
3. To track where the turtle goes and how he is doing after his release, researchers attached a tracking device to his shell that will naturally fall off after a while. From the morning of September 19, 2009 to the morning of September 24, 2009, the turtle had swum 76.4 miles. If the turtle slept 10 hours each day, what was his average swimming speed in miles per hour during the times in which he was awake? Express your answer as a decimal to the nearest hundredth.
Loggerhead Sea Turtle General info:
Size: Typically 2.5 to 3.5 feet in carapace length (73-107 cm).
Weight: Adult weigh up to 350 pounds (159 kg).
Diet: Primarily carnivorous and feed mostly on shellfish that live on the bottom of the ocean. They eat horseshoe crabs, clams, mussels, and other invertebrates. Their powerful jaw muscles help them to easily crush the shellfish.
Habitat: Prefer to feed in coastal bays and estuaries, as well as in the shallow water along the continental shelves of the Atlantic, Pacific and Indian Oceans.
Nesting: Nest at intervals of 2, 3, or more years. They lay 4 to 7 nests per season, approximately 12 to 14 days apart. Lays average of between 100 to 126 eggs in each nest. Eggs incubate for about 60 days.
Status:U.S. - Listed as Threatened (likely to become endangered, in danger of extinction, within the foreseeable future) under the U.S. Federal Endangered Species Act.International - Listed as Endangered (facing a very high risk of extinction in the wild in the near future) by the International Union for Conservation of Nature and Natural Resources.
Threats to Survival: The greatest threat is loss of nesting habitat due to coastal development, predation of nests, and human disturbances (such as coastal lighting and housing developments) that cause disorientations during the emergence of hatchlings. Other major threats include incidental capture in longline fishing, shrimp trawling and pollution. Incidental capture in fisheries is thought to have played a significant role in the recent population declines observed for the loggerhead.
Population Estimate: 44,560 nesting females.
________________________________________________
On September 19, the National Aquarium in Baltimore released a Loggerhead Sea Turtle that had been in their care for over a year. The turtle was back home at last!
1. When the turtle was rescued it couldn’t swim or dive properly (both skills are needed for catching food). Part of the reason for his impairment was the 10 pounds of hitchhiking barnacles, mollusks, and sea grass that had attached themselves to the turtles shell. Once the 10 pounds of “hitchhikers” were removed they found the turtle was severely underweight! Weighing only 64 pounds with a clean shell, what percent of his weight at capture was due to the “hitchhikers”? Express your answer to the nearest tenth.
2. Once the turtle’s shell was cleaned off he was able to swim and dive properly which allowed him to catch food and enabled him to reach a healthy weight. Upon release, the turtle weighed 90 pounds, which is an ideal weight for the turtle!! By what percent did the turtle’s weight (without the hitchhikers) increase while in rehabilitation? Express your answer to the nearest thousandth.
3. To track where the turtle goes and how he is doing after his release, researchers attached a tracking device to his shell that will naturally fall off after a while. From the morning of September 19, 2009 to the morning of September 24, 2009, the turtle had swum 76.4 miles. If the turtle slept 10 hours each day, what was his average swimming speed in miles per hour during the times in which he was awake? Express your answer as a decimal to the nearest hundredth.
Subscribe to:
Posts (Atom)