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/
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