Mean, Median, Mode (unique integer challenge)

Mean, Median, Mode (unique integer challenge)

{0,0,0,1,1,1,2,2,2,2,9,9,10} In this mini-competition your students try to find a set of non-negative integers for which the mean, median and mode are integral. There are six separate challenges… one for each permutation. The one here is for median < mode...
Irreptiles (proportion, similar shapes)

Irreptiles (proportion, similar shapes)

Can you tile this big L shape with identical, but smaller copies of itself? If so, the shape is called a rep-tile (repeating tile). However, that’s not what we are going to be looking at here. We are going to explore “irreptiles” which are shapes...
Cardboard Snowflakes (calculating average)

Cardboard Snowflakes (calculating average)

  Cardboard Snowflakes are created by putting a non-negative integer in each circle. There can be no duplicates. Circles are the average of all smaller circles touching them. Here we have failed. Can you find out why? Part of the snowflake looks good. 7 is the...
Connect 4 (2 players; 5 minutes; ages 5+)

Connect 4 (2 players; 5 minutes; ages 5+)

Connect 4 is a good game for the classroom because it is fast, cheap, strategically deep, and if you lose some of the chips the game is still playable (most games are over long before all the pieces are used). However, equally important is that the same equipment can...