NEW ROTATION PROBLEM:
ROTATION 6:
7TH GRADE – Strategy: Draw a Diagram
p. 20 –
THE POOL DECK
Curly used a shovel to dig his own swimming pool. He figured he needed a pool because
digging it was hard work and he could use it to cool off after working on it all day. He
also planned to build a rectangular concrete deck around the pool that would be 6 feet
wide at all points. The pool is rectangular and measures 14 feet by 40 feet. What is the
area of the deck?
8th GRADE – Strategy: Matrix Logic
P. 113 #3 – Cabinet Members
The president was discussing some politics with the vice president and three of her
cabinet members: the secretaries of state, education, and the treasury. Using the clues
from the conversation below, determine which woman (one is named Norma) holds
which position.
Paula said, “Ms. President, I don’t think the secretary of state knows what she is
talking about. I think foreign policy has really deteriorated lately.”
The secretary of state shook her head. So did the vice president.
The secretary of treasury said, “I agree with Paula. We haven’t even talked to
Japan lately.”
The vice president jumped in. “Will you two leave Inez alone? She is doing a fine
job.”
Georgianne, who had been silent so far, finally said, “Okay, let’s get on to
something else.”
The secretary of education said, “I’m sorry, Inez. Nothing personal.”
Colleen said, “I’m sorry too, Inez. I guess we just got carried away.”
Inez replied, “That’s okay. I know we’ve all been under a lot of stress lately.”
9th GRADE – Strategy: Unit Analysis
P. 243
FASTBALL
Nolan Ryan has been clocked throwing a baseball 100 miles per hour. At that speed, how
much time does the batter have to react? (How much time before the ball reaches the
plate?) The pitcher’s mound is 60 feet 6 inches from home plate.
10th GRADE – Strategy: Work Backwards
P. 347
SNICKERDOODLES
Sandy has some snickerdoodles to give to all her friends as Christmas gifts. She gave
25 to the little elves. She then gave 1/5 of her remaining snickerdoodles to Santa Claus.
She gave 9 to each of the nine reindeer (don’t forget them, especially not Rudolph).
Sandy gave 71 to Mrs. Claus because poor Mrs. Claus had no idea what to give her
friends for Christmas. Then Sandy ate 1/3 of the remaining snickerdoodles. Next, she
gave 1/8 of her remaining cookies to her best friend in Toronto, and she gave 20 more to
Mrs. Claus, who hadn’t had enough to give to all her friends. When Sandy was all done
giving, she had 15 cookies left, which she gave to Frosty the Snowman. How many
snickerdoodles did Sandy have to begin with?
11TH GRADE – Strategy: Systematic Lists
P.83#2
DANCING IN P.E.
Miss Von Thaden tried very hard to make sure that nobody was left out during the PE
classes in which her students danced. She thought she had a correct head count, so she
told them to pair up. This didn’t work because there was one person left out. She then
told them to get into groups of five, but this didn’t work either because again there was
one person left over. So she tried setting up groups of three, but unfortunately there was
one left over. Finally, she decided to try groups of four. Again there was one person left
out. There are less than 80 students in the dance class. How many were present on that
particular day?
12TH GRADE
p.227#3
COMPANY BARBECUE
Before ordering food for a company barbecue, the president took a poll. She asked
people if they would eat the ribs, hamburgers, and corn at the barbecue. She polled 64
people in the company that said they would probably attend. This poll revealed that 59
members would eat ribs, 56 would eat corn, 60 would eat hamburgers, 55 would eat ribs
and corn, 54 would eat corn and hamburgers, 56 would eat ribs and hamburgers, and 53
would eat all three.
a. How many people did not want any of these foods?
b. How many people would eat ribs but not corn?
c. How many people would eat something so long as it was not a hamburger?
d. How many people would eat only corn?
e. How many people would eat exactly two foods?