Monty Hall Problem
You are on a gameshow and the host shows you three doors. Behind one door is a suitcase with $1 million in it, and behind the other two doors are sacks of coal. The host tells you to choose a door, and that the prize behind that door will be yours to keep.
You point to one of the three doors. The host says, “Before we open the door you pointed to, I am going to open one of the other doors.” He points to one of the other doors, and it swings open, revealing a sack of coal behind it.
“Now I will give you a choice,” the host tells you. “You can either stick with the door you originally chose, or you can choose to switch to the other unopened door.”
Should you switch doors, stick with your original choice, or does it matter?
Who’s Correct?
You may have seen this post on social media. When people answer in the ‘comment’ section they are so sure they are right (when they are not). What is the correct answer for this problem? What do you think is the most common wrong answer? What mistake are people making when they get the wrong answer? What ‘skill’ do you need in order to solve this problem successfully? Please feel free to reply to other students’ comments as well and defend your solution or POLITELY explain why you feel their solution is incorrect! 🙂
The Square Pizza Problem
The Pizza Palace has started to make square pizzas. This sounds good to Myra, who wants her family to get one for dinner.
“No way,” says her brother Kenji. “It costs too much. A 12-inch round pizza with four toppings costs $11.00 at Mondo’s. The Pizza Palace wants $13.00 for their 12-inch square pizza with four toppings.”
Show which pizza company is the better deal.
A Helping Hand
Clayton students volunteered to help renovate the playground for the Kindergartners at Towles Elementary school. City regulations require the sand underneath the swings be at least 15 inches deep. The sand under both swing sets was only 12 inches deep when the renovation started.
The rectangular area under the small swing set measures 9 feet by 12 feet and required 40 bags of sand to increase the depth by 3 inches. How many bags of sand will the students need to cover the rectangular area under the large swing set if it is 1.5 times as long and 1.5 times as wide as the area under the small swing set?
Robots!
The students in Madddie’s class built some solar-powered robots which they raced in the cafeteria of the school.
After the race Maddie drew the graph shown below to represent the distance d, in meters, that each of the three robots A, B, and C traveled after t seconds.
A) Which of the following statements about robot B are true? (select all that apply)
∙ Robot B traveled in a different direction than the other two robots.
∙ Robot B traveled 5 meters in 7.5 seconds
∙ Robot B traveled 7.5 meters in 5 seconds
∙ Robot B traveled 2/5 meters per second
∙ Robot B traveled 3/2 meters per second
∙ None of these are true
B) How do the speeds of the robots compare? (Choose one)
∙ The Robots all traveled at the same speed, they just left at different times
∙ Robot (A/B/C) is the fastest and Robot (A/B/C) was the slowest
∙ There is not enough information given to compare how fast the robots traveled
Please remember that correct answers without explanations don’t receive full credit.
Tip the Waiter!
After eating at your favorite restaurant, you know that the bill before tax is $52.60 and that the sales tax rate is 8%. You decide to leave a 20% tip for the waiter based on the pre-tax amount.
How much should you leave for the waiter?
How much will the total bill be, including tax and tip?
To receive full credit your answers must include your reasoning for your solutions!
What I like about school.
I like that we can make new friends and have fun at school. Also, I really love the teachers, they are amazing and they help us learn! xD