Family project

Family project
FAMILY PROJECT
UCI Math CEO
• Meeting 6 (FEBRUARY 22, 2017)
FAMILY PROJECT:
My Ceiling Squared
Dear student,
please complete the tasks in the
next page and bring your answer
next Wednesday, March 1st. You
will participate in raffles!
We have a ceiling of dimensions 8 m by 5 m, as shown in
the picture. We want to fill the entire wall with different posters
of scientists. Each poster, however, must be a square. In other
words, each poster has to have the same length as width.
PROJECT: Fill the wall with (square) posters, using as few as
possible. Say how many posters, and state their dimensions.
Important: The posters cannot go outside the wall. Your posters
have to fill 100% of the wall.
FAMILY PROJECT
UCI Math CEO
• Meeting 6 (FEBRUARY 22, 2017)
FAMILY PROJECT: MC2
NAME:
SCHOOL: _____________________
How many posters
did you use?
Place your
posters:
List all dimensions and area of each poster. Their
areas should add to 40.
DIMENSIONS
AREA
Who is your favorite scientist?
What did he discover?
POSTERS:
CEILING
5X8
40
UCI MATH CEO
http://www.math.uci.edu/mathceo/
FAMILY PROJECT
FAMILY PROJECT:
thirSty four
UCI Math CEO
34
• Meeting 5 (FEBRUARY 15, 2017)
Dear student,
please
respond
the
questions in the next page
and bring your answer next
Wednesday, February 22th.
You will participate in
raffles!
There are 16 different water tanks, and each has certain
amount of gallons of water, as illustrated above. Some are more full
than others. For example, the top left Tank has 16 Gallons, while the
bottom right has only 1 gallon!.
You want to use exactly 4 tanks with exactly 34 Gallons of water
combined, to satisfy a group of 4 thirsty Elephants. So you need to
choose some tanks to add to 34. For example: 16+3+2+13 = 34, so
the top 4 gallons would work. But also: 2+11++14 = 34, so the tanks in
the third column work too!
List ALL the combinations of 4 tanks that add to 34 gallons!
FAMILY PROJECT
UCI Math CEO
FAMILY PROJECT: THIRSTY FOUR
NAME:
SCHOOL: _____________________
• Meeting 5 (FEBRUARY 15, 2017)
Investigate in your local library or in
Internet: Approximately how many
gallons of water need 34 adults in one
day? How many gallons of water does
an elephant need in one day?
In how many ways can you get tanks that add to 34?
List all possible ways! Use the numbers in the tanks.
(Hint: there is more than 10 ways!):
16 + 3 + 2 + 13 = 34
5+10+11+8 = 34
UCI MATH CEO
http://www.math.uci.edu/mathceo/