Math+Challenge

5. Have fun!
=Challenge Number 1=

=
Camp Summers’ cook, Kristy Zachary, was just about to begin preparing the picnic lunch for all the campers. She already knew she needed to fill 55 bowls of the same size and capacity with the same amount of food. When she was done, she decided to read the guidelines for the picnic, just out of curiosity. The guidelines said: =====

After some rapid calculations, Mrs. Zachary was able to figure out how many campers were going to the picnic. Can you?
grade girls (Madie, Kerra, and Keair) collaborated persistently to solve this problem. ||= I had three students solve this. KayeLea and Mallorie worked together, and Chris worked independently. || I divided my students into small groups to solve- they all drew diagrams; it was so much fun to see math in our history classes. ||  ||   || showing the bowls of soup, bowls divided in half to show the spaghetti, and bowls divided into thirds to show the salad. They found out that for every 11 bowls, there were 6 campers. 11 bowls x 5 = 55 bowls so 6 campers x 5 = 30 campers
 * = ===Answer One=== ||= ===Answer Two=== ||= ===Answer Three=== ||= ===Answer Four=== ||= ===Answer Five=== ||
 * 30 campers ||= 30 campers || 30 campers ||  ||   ||
 * 3 Atlanta 5th
 * They drew a diagram

CORRECT. ||= My students worked theirs the same as Winn. They drew a diagram.

CORRECT ||  ||   ||   ||
 * Linda Keyes-Winn ||= Melissa Loe-LaSalle || Kristy Zachary- ACDS ||  ||   ||


 * AWESOME JOB, STUDENTS! YOU ARE EXACTLY CORRECT. I AM SO PROUD OF YOU! **

=Challenge Number 2=

**A painting job can be completed by 7 painters in 22 days. If 7 more painters join the team 2 days after starting work on the job, then how many more days are required to complete the job?**
Savannah solved this problem within 5 minutes of receiving the challenge. She reported that 10 more days were needed because when 7 more painters joined the team, there were 20 days left. Since the workers doubled, the work would be cut in half. She worked independently, but is now coaching other students to see if they can solve it. Linda Keyes-Winn

Beau was the first to complete this challenge. He subtracted 2 from 22 and then divided 20 by 2 since the painters doubled. He came up with 10 for his answer. The majority of the class was able to get the correct answer independently. Melissa Loe-LaSalle We will continue working on this one. Did you want the total number of days? (12) Keep working, you are not quite right, so here is a hint: The days required to complete the job with the additional painters will be less than that required with the original team.

The number of days for the job is inversely proportional to the number of painters.

Dalan stated that he knew that it would take 22 days with just 7 painters to do the job. So if you add 7 more painters it will only take half the time. So that would equal 11 days. It said 2 days had already gone by so subtract 2 from 11 and that is equal to 9. It will take the 14 painters 9 more days to complete the painting job. Falicity pointed out to Dalan and the class that you have to take away the first 2 days with 7 painters. That would leave 20 days left on the job to paint. If 14 painters are painting that will cut the number of days in half left on the job. So half of 20 is 10. It will take 14 painters 10 days to complete the job. Negreet School, Lisa Savell

My students worked in pairs to answer this question. One group stated that if it took 7 painters 22 days, then it would take 14 painters 11 days to complete it and since the new painters started on day 2, then it would take an additional 9 days for the job to be complete. Kristy Zachary ACDS =** Challenger Number 3 **= Last vacation, my cousin came over to stay at my home. We made the most of her stay at my place... and I even earned a few chocolates.

Everyday, we would play a game of chess. Whoever lost the game owed a chocolate to the other. After the last game we played (that was the day she was to leave), we counted the number of games each of us had won and lost. Wow! I had won more than her. So, she handed me 22 chocolates... though she herself was the winner in 5 games.

How many days did my cousin spend at my place? My kids came up with 27. 22+5 =27 When I displayed this challenge on my board the kids quickly gave this answer. Melissa Loe LaSalle

Jacob said the cousin stayed at her place for 27 days. She gave her 22 chocolates and her cousin won 5 games. So 22 choc plus 5 choc equals 27 days for the total games. Falicity agreed but said that if they played one game of chess a day and the winner got one chocolate. He got 22 chocolates and she won five games so she got 5 chocolates. So add 22 plus 5 and you get 27 days that the cousin stayed. Lisa Savell, Negreet School

Students worked in groups of 4 to solve this problem and it was interesting to see their results. One group said that her cousin stayed for 27 days because of the 22 chocolates plus the 5 wins. Another group focused on the phrase "though she herself was the winner of 5 games", so concluding that even though her cousin won 5 games, she still gave the 22 chocolates, so her cousin stayed for only 22 days. Another group also focused on the phrase, "though she herself was the winner of 5 games" and concluded that her cousin stayed for 17 days because they subtracted 5 from 22. Kristy Zachary ACDS