There are no answers provided as there are many different, correct ways of choosing which one doesn't belong. Enjoy! These are also known as Imposter Sets. Here is a link to Steve Wyborney's blog about them."
Categories of WODB puzzles include Shapes, Numbers, and Graphs and Equations:
I'm sure there are dozens of different ways to engage students in working with these puzzles. However, I am particularly intrigued by this series of posts from Alex Overwijk. Here's a quick run-down of Alex's 3-day lesson plan:
"Day 1 (WODB Part 1)
Introduce students to the idea of WODB. Look at some old examples and videos. Talk about Danielson's complaint about typical examples. Look at some examples from his book. Look at the example from the avatar for WODB.ca.
Once students got the idea of WODB, do an activity that would have them chose top left, bottom left, top right, bottom right for 10 different examples individually. Then they would analyze the data for one of them. We would get it all on the board. Then as a class we co-created the criteria for what makes a good WODB. Finally, based on the criteria, have students individually rank the ten chosen samples from best to worst. Analyze that data.
Day 2 ( Next day WODB Part 2)
Groups of three, students will create a WODB using the course content. This will be difficult.
Day 3 (Vote day based on the criteria WODB Part 3)
Students will do all other groups WODB. Then they will analyze results for their WODB.
Data on the board. Then rank from best to worst individually ( can include your groups). Winner takes all."
I'm looking forward to using this 3-day plan to have my students create and analyze their own WODB puzzles as we begin reviewing for the SAGE test and then submitting the best of them to be posted on Which One Doesn't Belong.