Beginning
Activity List for March Madness ProblemBased Learning Task
Complete the following
problems and activities in any order. Please have it completed and handed in
by the end of the week. Each day, be sure to schedule in the appropriate benchmarks
and minilessons when and where necessary.
¨ Measure for Measure
1.
The NCAA basketball court is 94 feet long and 50 feet wide. Using a ruler, draw an NCAA court to scale (1 inch = 8 feet).
2.
What is the total square footage of the NCAA basketball court?
3.
The lane area, or key, under each basket is a rectangle 12 feet wide by
19 feet long. Draw a key on your court that you made in #1. What is the square footage of the key? Write a fraction to
tell what proportion of the court the key takes up.
4.
If a high school basketball court is slightly smaller than a college court
(74x50), what is the square footage of a high school court? What is the difference
between the area of a college court and a high school court?
¨ Area of a 2Dimensional
Figure
Formulas:
Area of a circle:
πr^{2}
Area of a rectangle: bh
Problem:
Given: The college court is a 94 ft. x 50 ft. rectangle, with a radius of the small center circle of 2 ft.
Find: The percent of the court that is taken up by the center circle.
Plan: Find the area of the court, the area of the circle and the
percentage of the court taken up by the circle.
Solution: See answer page
¨ Assist/Turnover
Ratio
Pont guards area significant part of any basketball team. Their
assist/turnover ration is a good measure of their success. This ratio can be
found by dividing the number of assists by the number of turnovers. If he/she
has a ratio higher than 1:1, they are considered to be doing a good job.
Player 
Assists 
Turnovers 
Ratio 

Ashley 
32 
10 
: 
Amy 
49 

3.1:1 
John 

28 
2:1 
Dave 
97 
45 
: 
1.
What is Ashley’s assist/turnover
ratio?
2.
How many turnovers did Amy have
during the season?
3.
How many assists did John have
during the season?
4.
What was Dave’s assist/turnover
ratio?
¨ Challenge
Problem
1.
Stacey made the same number of
free throws, two point shots, and threepoint shots. If she scored 30 points
altogether in the game Saturday night, how many points did she score on threepoint shots?
2.
Missy scored 35 points in Friday
night’s game. She did not make any threepointers and she hit twice as
many field goals as free throws. How many field goals and free throws did she
make?
3.
During the game last night, Washington
University scored 10 more than twice as many points as Stacey scored. How many did Washington
University score?
¨ Painting
the Floor
Many times, special courts are designed for arena floors. What
are the dimensions for each of the following courts?
1.
Suppose that the court is the
standard size of 94ft. long and 50ft. wide. If the floor extends an extra four
feet at each side and four feet at each end, what is the length and width of the floor?
2.
What then is the total area of
the floor?
3.
If a single piece of wood being
used is 4ft long and 4ft wide, what is the area of the piece?
4.
Use your answers to question 2
and 3 to determine how many pieces of wood would be needed to make the entire floor.
¨ Box
Scores
Looking at a box score can give you a great deal of information about a game. Look at the box score below and answer the questions that follow.