Spider and Fly Puzzle

https://www.youtube.com/watch?v=KlDwT2l1K6k

Publisher, Curiosity Show, Video, YouTube

The shortest route for a spider to reach a fly seems obvious in this rectangular room, but Rob shows that it might be trickier than it seems.

21 November 2014 Edit: 21 November 2014

Resources on MathsFaculty

Community created resources for this link:

Problem of the week the spider and the fly.
Content: Worksheet - Print · File type: PDF, Word · 2 files · 23 Nov 2014 · by Simon Job


Submit a correction to this link | Help align this link to NSW Mathematics Syllabuses align this link to The Australian Curriculum


Comments

How have you used this link in your classroom? Share your teaching ideas or leave a review about this link.

Sign in to leave a comment.

Belinda Keir on  23 November 14  at  10:27 AM #

I did it this morning as ‘problem of the week’ with all of our stage two students (Friday maths rotations) and it was a real winner.

To start with, I showed them the first 20 seconds of the video and we wrote down answers to the first 3 questions (i.e. Polya’s phase one: understand the problem).

We then watched the clip to the end and identified what problem solving strategies could be observed (phases 2 and 3). We identified ‘guess check and refine’ and ‘act it out’.

Finally everyone had to write an ‘I wonder…’ question into the last box and share it with the class (phase 4). They came up with:
What would happen if the spider and fly were in different places?
Are there any other 13cm paths?
What would the longest path be?
Why is the spiral path the shortest?
I wonder why moving the walls made the distance shorter?
Can I keep trying other ways?

After all this talking and writing they got to measure distances for themselves and cut out the three templates at the end of the worksheet.

I think what I really liked about this activity was that instead of solving a problem themselves, the students got to see someone else do it and what Polya’s phases can look like in practice.