Wednesday, April 7, 2010

Count that Badminton

An Olympic Badminton Racket has approximately 25 strings in total. When these strings intersect they form squares. This means that there is approximately 250 squares on the racket. Take what you know about right angles to figure out how many right angles there are on an entire badminton racket.

hint a right angle=90 degrees.

Million Dollar Michael's Massive Magnificent Motions

On average, every swim stroke Michael Phelps takes gets him 2 meters down the pool. Michael competed in 8 separate events during the 2008 Olympics in Beijing:

  • 400 meter individual medley
  • 4x100 meter freestyle relay
  • 200 meter freestyle
  • 200 meter butterfly
  • 4x200 meter freestyle relay
  • 200 meter individual medley
  • 100 meter butterfly
  • 4x100 meter medley relay
In total, how many meters did Michael swim for his gold medals?

Finally, how many strokes did Michael have to take in total for all of his events combined if Michael can propel himself 2 meters with each stroke?

Tuesday, April 6, 2010

Field Hockey Final

In a field hockey tournament during the Beijing Olympics in 2008, the average number of goals scored by the American team was 4.25

How can this be possible when a goal in field hockey is always worth 1? How did our average become a decimal when we were only using whole numbers? Explain.

Single Serving

In Olympic tennis during the summer games the court is split up into five rectangles on each side. In singles tennis the ball is allowed to be played in three of the five rectangles. In doubles tennis the ball can be played in any five of the rectangles. A serve is the first hit ball of the point being played. The ball that is served is only allowed to bounce in one of the two rectangles below the service line.

What is the probablity that the ball will bounce in the appropriate square off the serve in singles tennis game?

Turn your thinking into a fraction. Is the fraction the same in a doubles tennis game?

Straight Speed

Olympic sports such as bobsledding, skiing and gymnastics all include the
use of straight lines. In bobsledding the blades are what need to be straight.
In skiing, a skier will move faster when his/her skis are close together.
In gymnastics the uneven bars must be straight and close to one another.

Thinking about these lines can you think of
another characteristic they hold?

What angle do they make?

What kinds of lines are they?

Uneven Bars=Uneven Scores

The Olympic sport of gymnastics is judged with a point system. Nastia Liukin, an uneven bar champion scored a disappointing 16.725 in Bejing putting her in second place. Her opponent beat her by 0.001 of a point. The Bronze metal winner's score was a 14.975.

What was the Gold metal winners score?

By how much did Nastia score over the Bronze medalist?

If we rounded up the scores could a winner be determined, or is the decimal necessary to distinguish Gold from Silver?

Rings of the World

The Five Rings have been the official symbol of the Olympic Games since 1913. The five rings represent the five major regions of the world: Asia, Africa, Europe, Oceania and the Americas. The five different colors of the rings are blue, yellow, black, green and red. At least one of those five colors appears on every national flag in the world.
What is the general likelyhood that the color blue is present in at least one country's flag on each continent?

What percentage of the ring's colors can be found on the flag of the United States of America?

Monday, April 5, 2010

Freeski Fallout

If Bryon Wilson has fallen 5 out of the last 20 times that he attempted to do a D-Spin on the final ski jump during his mogul run, what is the probability that he will Land his next attempt at a D-Spin?

Express this probability in fraction, decimal, and percentage form.

Not The Best Biathlon

American skier Sara Studebaker takes five shots at a target down range during the 7.5km sprint biathlon event, and misses each one. The distance of each shot from the bulls-eye is recorded below.

What are the mean and median average distances of all Sara's shots from the bulls-eye? What is the range of the data?

Shot 1: 3mm away

Shot 2: 5mm away

Shot 3: 5mm away

Shot 4: 2mm away

Shot 5: 8mm away

Sunday, April 4, 2010

Almost There!

In the men's ski jumping event Simon Ammann of Switzerland won the large hill event in the 2010 Olympic games in Vancouver 2010. He is determined to take over the world record held by Bjorn Einer Romoren of Norway. If the world record is 239 meters and Ammann has only reached 144 meters, how much farther must he sore to beat the record by at least .1 meter?

Arc to Arc

In the Alpine Ski Racing event, it is known to be faster for racers to make smaller arcs with their skis in the snow while going around the designated gates, making them have a tighter and more aggressive line to cover less of an area which means less time on the snow. This is ideal!

Instead of comparing times and speeds, you can guess which competitor may be faster by studying the arcs they left in the snow with their skis after each run of Giant Slalom, measuring them in degrees with a compass.
The average degrees of various competitors were recorded below.
Predict who was the fastest!

Bode Miller: 84 degrees
Ted Ligety: 87 degrees
Herman Mier: 81 degrees
Mario Matt: 90 degrees

Go for the Gold!

In the 2010 Winter Olympic Games in Vancouver, Canada, the United States won the overall medal count. Notice that that they won this with out having the most gold medals, showing that the amount of golds did not effect the overall winner.

Using the graph below, answer the following questions:

  • What country won the most gold medals? The most silver medals? And what about the bronze?

  • How far away was Norway from winning? And how far was Canada who ending up in third place from winning on their home turf?

CANUnited States9151337

Now analyze the graphs below that represent the total medals won by men and then woman in different countries.

  • Notice how many medals overall were won by the men and compare this figure to the amount won by the woman from the USA. Name the fractions that can be represented by these amounts using the total overall as the denominator and the men's or woman's totals as the numerator. Try this for some of the other countries in the top five standings. This can help to figure how the final standings came about!
  • Men:

    CANUnited States79824
  • Woman:
    GERUnited States25512

Figure It Out

People all over the world use different units of measurement. Since the Olympic Games are an international event, the metric system is used for measuring distances and speeds in all of the various sports events.

Using the knowledge that 1 meter = 3.28 feet, convert the following into feet:

Apolo Anton Ohno is preparing for the 500 meter dash, short track event. He is wondering how many feet the race is equal to, a unit of measurement he is much more familiar with growing up in the United States of America.

Emilie Heymans of Canada is studying the platform she must dive off of in her upcoming 10 meter final event in the woman's diving competition. How many feet high is this platform?

Now go the other way! Convert the following into meters using the same conversion method:

  1. Beezie Madden riding Authentic in the individual horse jumping event, has measured five different sized jumps in the course: 4 feet, 5 feet, 6, feet, 7 feet and 8 feet. Help Pius Schwitzer of Switzerland convert these measurements into meters, a unit she uses in Europe.

  2. Bahamian, Pauline Davis-Thompson, won the gold metal in the 2008 Summer Olympics in Athens, Greece in a sprinting event that was 656 feet long. How many meters is this event?

Friday, April 2, 2010

You Decide

Before U.S. Olympian Shawn Johnson, gets on the balance beam she would like to know how long it is, so that she can preform a routine. You notice that the beam is 16 ruler lengths. She now wants to know,

A. How many inches is that?

B. How many feet is it?

C. How many centemeters?

Remember 1foot=12 inches.

The Best of The Best

Using the data below, make a graph of the different countries that won a gold medal. What country won the most gold medals? What country won the least? Use the graph to support your answer.

U.S.A- Track 4 medals, Gymnastics 2 medals, Bicycling 1 medal.

France- Track 2 medals, Gymnastics 3 medals, Bicycling 2 medals.

Spain- Track 1 medal, Gymnastics 2 medals, Bicycling 1 medal.

Russia- Track 1medal, Gymnastics 1 medal, Bicycling 2 medals.

Germany- Track 3 medals, Gymnastics 1 medal, Bicycling 3 medals.

Ka Splash!

The Olympic Swimming Pool is 164 ft (50 m) long, and 82 ft (25 m) wide, with 9 different lanes spread out along the width.

Look at the picture to the left of the Olympic Swiming Pool. Are there lines of symmetry? Print off the picture, and draw all the lines of symmetry that you see, if there are any there.