Samantha purchased subway tokens from a machine. The instructions said that, for any amount of money you insert, you would receive the maximum number of tokens your money can purchase, along with your change.
Samantha put a $20 bill into the machine. She received 12 tokens and $2.60 in change.
There are eight teams in the Northern New Jersey High School Soccer League. Here are the recent results:
Today at my virtual talk at the Scholar Search Education Forum at Northwestern, a student asked me about the hardest math problem I’ve solved. I thought of the hardest problem I haven’t solved. I love it because it came from a real situation!
Say there are 36 people at a workshop. They get in groups of 6 and work for a while. Then, they regroup into new groups, so no one is in a group with anyone they’ve been with before. How many times can they regroup before someone has to be in a group with someone they’ve worked with before?
I also wonder, how could you extend this problem? If you’ve answered the specific problem, what else does it make you wonder?
Here’s a special mid-week edition of our Free Scenarios. We’ll be handing out this scenario at the NCTM Regional Meeting in Atlantic City on Thursday and Friday of this week. Join the conversation, either in person or virtually! What do you notice in the story below? What are you wondering about? Leave a comment to tell us your thoughts!
The pictures below came from an idea a friend of mine had…. Looking at a grid of squares, imagine drawing diagonal lines across the squares. If the line hits a wall, bounce off at a 45º angle. If it hits a corner, stop drawing the line.
You can play around with the game on the NCTM Illuminations site.
Here are some of the patterns we drew. What do you notice about them? What do you wonder? Leave a comment to tell us!
Every week while shopping at our local wholesale store, we walk by the piles of bananas displayed on a table. Sometimes they are quite green and other times they look yellow and ripe but we have noticed that we never see any bananas that are too ripe. We wondered why and decided to ask.
A guy working in the produce department said that an important part of his job is to make sure to carry enough bananas to meet demand but not so many that they aren’t purchased before they become too ripe and need to be discarded. He proudly reported, “We regularly stay below the allowable waste of 3.8% set by corporate management. This week we only had to throw away 293 bananas.