# Getting Students to Draw the Problem

Posted on: September 1, 2009

I’ve always found it challenging to get students to draw the problems.  I don’t understand their reluctance, I can’t imagine trying to keep the facts in my head, yet so many of them do just that.  The result is that they miss details and make mistakes.

Today I saw a simple problem that I thought I would use as an introduction to drawing problems.  The simple word problem says:

[Updated as used in class] There is a triangularly shaped park with trees along the edge.  There is a tree at each vertex.  Each side has five trees.  How many trees are there all together?

Very simple problem if you just draw it.  The answer is not 15.

### 10 Responses to "Getting Students to Draw the Problem"

I would’ve guessed 15, but knowing that is not the answer I imagined the park and came up with…12.
First time here, great blog… I teach chemistry so I am going to browse more later to look for useful resources 😀
Thanks!

Well-maybe.

No where in the question does it state that there are trees at the vertices of the triangle. There could easily be 5 trees located on each side with none at the vertices.

This is what happens when an unemployed engineer friend reads your blog. Ok Andy, you are in charge of rewriting the question. Get to work.

I changed the question and simplified the sentences. This worked better, I said each short sentence with a pause so they could internalize the information. They still guessed 15 until somebody drew it.

I like it better this way. Glad to hear that they knew what a vertex was.

ALWAYS DRAW A PICTURE haha

http://www.peebleslab.com/42

(from my webcomic)

Andrew-
Not sure if you are trying to make a joke or not, but your website cartoon is in error. A 2.5 angle of elevation would imply that the other angle at the observer is 2.5 degrees, or that the one you have labeled 2.5 is really 87.5 degrees. The answer comes out to 1603 ft.

This assumes he measures the elevation angle from the same level as the base of the lighthouse.

yeah…

see the joke is he incorrectly labels the angle of elevation… haha oh well I tried

Sorry. Of course anyone that lets a 3″ tall guy drive a motorboat is asking for trouble anyway.

I have the same problem, even though I draw each of the problems when I work it out as an example. I think the logic goes as follows:

Q.Does it directly affect my grade?
A. Yes –> Ok… I guess I have to do it…
A. No –> Too much effort. Not going to do it.

### What’s New in 2013/2014?

Every year brings a change, this one is no exception.

I will be picking up the sophomore honors Algebra II class to keep them separate from the juniors. This should help accelerate them and put them on a stronger track towards Calculus. Looks like there will be only one section each of Physics and Calculus, but still two of Robotics & Engineering.

Hot topics this year are going to be the Common-Core Standards, Standards-Based Grading (SBG), improving AP Calculus scores, and somehow adding Python, maybe as a club.

### Polls in the sidebar

Just a quick poll to help me understand who is stopping by my blog.