Tag Archives: Statistics

New Application Problems from the Classroom

Here are few more problems that I came up with during today’s class:

1.  Clyde owed 8 different people $4 each for some doughnuts that he bought to eat on his birthday. Then when he wasn’t looking, Hellman’s stole $4 from Clyde’s wallet.  In order to reclaim his debt, Clyde needed to split up his total losses over a period of nine months.  How much debt will he recover over each of the nine months?

2.  Clyde went to the store and he bought seven nuclear weapons, but he doesn’t know the price of them yet.  He had to return four of the weapons because they were defective.  Then Clyde had to pay $9 in order to bribe a government official into letting him keep the weapons.  Finally, when buying the weapons, Clyde had a $4 off coupon.  How much did Clyde pay since he did not yet know the price per weapon?

3.  The hypotenuse of a right triangle is the median of {0.52, 0.69, 0.71, 0.34, 0.54} and one of the legs is the median of {0.26, 0.12, 0.35, 0.43, 0.28}.  Find the length of the missing side.

4.  The length of a boat is the mean of {11, 32, 21, 74, 32, 25, 29} ft.  Convert the length of the boat to meters.

5.  The diameter of a doughnut is the average of {3.6, 7.4, 3.9, 6.2, 7.6} cm.  Convert the diameter to millimeters.

Regression on the Calculator

Here are a few notes on regression and other stuff I’ve noticed over the past week:

1.  Remember my calculator post from last week?  Well, some of my Finite Math students were still having a little bit of trouble using the calculator to do Regression on the calculator.  This website on Cubic Regression seems to have done the trick for my students, and I don’t seem to be getting nearly as many questions about how to do regression on the calculator now have I have started to circulate this link around.  So, I figured I would throw it out there as a resource for everyone else!

2.   If you have a student who needs extra help and you aren’t fortunate enough to be teaching from a Pearson book that uses MyMathLab, you can always send your students over to InteractMath.  The student just needs to choose a book with similar topics to that of which you are studying, and exercises will be generated from there.  Actually, I’m using it in the on-line class I’m designing this semester because part of the challenge of creating this class is that we are supposed to use strictly free, on-line resources.  And this definitely qualifies!

3.  Eh, if you’re reading this, check out this great Math Magic Trick and list of Five Things to Do with Your Old Laptop.  I know, both are very random links, so I’ll tag them as #miscellaneous, how about that?

The Central Limit Theorem

I know, I know… I haven’t been posting a lot of statistics materials on here, but this is one actually turned out to be pretty sweet.  Here’s how I did it:  On the top dotplot each student plotted their month of birth, along with the month of birth for three other people such as their mother, father, sibling, or closest friend.  Then on the bottom dotplot each student plotted the mean of each of the four numbers that they plotted on the top dotplot.  It turns out that this beautifully illustrates the Central Limit Theorem.  After I did this activity in class, I realized that this Central Limit Theorem Activity does the same thing except by having the students roll four dice and then subsequently finding the average of the four rolls.  Ohhh well, a lesson learned.  

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Math Vocabulary Becomes Art

I was researching the best way to use maps to introduce the topic of ordered pairs to a beginning algebra class, when I stumbled upon something totally different, and totally unique:  A website called Wordle that takes text and turns it into JAVA created art.  I actually threw the RSS feed for this website into their art generator (a wonderful option, by the way), and the results are below.  Immediately, my wheels started spinning about how to use this in a math class, and viola!  The nice people who write the Ed Tech 4 Math Blog Technology & Software For Teaching Math already have a nice post on how Math Vocabulary Becomes Art.  As you can see from my attachments, Wordle can also provide word counts, which could lead to a lot of discussion about word frequencies, etc.  Enjoy!  This also means that a future post is still coming about using mapping in the classroom.

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Wordle word counts.pdf
Download this file

Thoughts on Teaching Statistics

There was a tweet in my feed this morning that simply said: "Now that's how you present statistics ".  I'm glad that I took this tweet seriously, because the next 5 minutes or so of watching Hans Rosling talk about the "Joy of Stats" was a real treat.  I can only imagine what some of these talks would have done this semester if I would have showed them at specific points throughout the semester in order to show why statistics is even useful, or how it is even used on display in the world around us.

Related Links:  

http://www.ted.com/speakers/hans_rosling.html

Pre-Algebra and Algebra Resources

A few months ago I had students in my Basic College Math class create a game about fractions.  One student created “Fraction Bingo”.  I decided to search the web to see if there were printable bingo sheets available.  Well, there were, along with some other activities that I found on the same website from Holt, Rinehart, and Winston.  And below is a list of a few of my favorite ones, appropriate for college-level basic math classes (organized by topic):

Operations on Numbers

Factoring Activities and More

A few weeks ago a colleague of mine was in need of an activity for Factoring.  He was ahead of his pacing chart and wanted something to fill up some class time with.  I referred him towww.ilovemath.org, which has hundreds of free activities to download.  Here is a list of a few that I have successfully used the in the classroom:

Statistics Infographics Assignment

Specs for the infographics assignment for my Statistics class:
 
- Infographic example topics
  • statistics on education in America
  • statistics on OCC enrollment
  • injuries in sports
  • comparison of profits for Detroit Sports Teams
  • Mistakes in the medical field
- Include 3 different types of graphs (e.g., pie chart, line graph, bar graph, histogram, pictograph, ogive, etc.)
- At least 4 colors
- Group size: maxium 4, minimum 0
- Avoid plagarism
- Due: In two weeks (the day of the final)
 
Example Infograpics: