2017-2018 Problem of the Week (POTW) #1 - POTW Math Enrichment!
Welcome New and Old Cranny Intermediates! It's POTW time again!
Welcome back all returning Cranny Intermediates, and hello to all of you new Intermediates! (i.e. Grade 7s and newcomers to our school).
As most of you know, this website is a space where Mr. Milette seeks to challenge you with the Math Problem of the Week! (A.K.A. POTW). Two questions will be posted each week. One question is geared toward the Grade 7s and a second question is more for the Grade 8s. You are challenged to answer both questions each week, but only your specific-grade question is mandatory. Both of the Grade 7 & 8 questions can be considered enrichment-type math problems, so they’re a great way to be challenged!
The most important requirement of this website is YOUR participation. This may come in the form of:
- sharing your POTW answer
- posting your comments, questions, and replies to others
- seeking out the answers to POTWs (answers are posted a week after the question has been posted)
- reading and following new posts
With that being said, it is absolutely pivotal that you remind yourself about online netiquette. You must always consider the feelings of others when posting comments. Before you press 'submit' or 'send' or 'publish' please ask yourself two questions: "Would I say this in-person to someone's face?" and "Is my comment helpful?" If the answer to either of those questions is "No" then consider revising your comment.
You will find below the first POTW for the 2017-2018 school year! Please submit any and all responses regardless if you think someone else has the same answer. Both Grade 7 and Grade 8 students can submit answers in the same reply section, please just state which question you’ll be answering at the beginning of your post. You can always show your work in different ways! And be sure to comment on other students' work, provide feedback, and ask clarifying questions.
Always remember to be signed-in to your gapps account before submitting a response. Enjoy the POTW!
Grade 7 POTW #1
Esther had a sweet summer job, working at the Maple Community Centre. Her job was to make sure the company’s employees are being paid relatively equally based on their responsibilities. She needs to review all employee records by location: the pool, library, fitness area, etc. The pool manager, Jessica, volunteers to go first, while its longest serving employee, David, decides to go second. Esther surveyed the salaries of all the pool staff and finds the following annual salaries:
$35,000, $42,000, $36,000, $74,000, $38,000, $40,000, $39,000, $42,000
What is mean salary of the Maple pool? What is the median? The mode? What is the range of the salary? Which salary is probably Jessica’s salary? Why do you think that?
Grade 8 POTW #1
The chart above shows the gas
prices in the GTA for the past month. For each of the past 4 Sundays the prices
were (in cents/Litre):
109.8, 109.3, 111.1, 129.7
What was the mean gasoline Sunday
price? What was the median Sunday price? The mode? Which measure of central
tendency is most accurate to represent this particular data set? Are there
outliers? If so provide SEVERAL REAL-WORLD explanations for the outlier(s)? Is
there a trend in the data set? If so provide SEVERAL REAL-WORLD explanations
(you may need to research).
