I recently found a neat game at Cool Math Games.biz. It's called Bloxorz. The goal of Bloxorz is to move a rectangular block around the playing board of each stage. At the end of each stage is a square hole that the rectangular block must fall through when on it's end. The rectangular block can be flipped from end to end or rolled from side to side based on which direction key is pressed to move the block.
The first few stages are fairly easy in order to help you figure out how to maneuver the blocks using the direction keys. But as you progress through the stages you quickly find new challenges. There are 2 types of switches to open and close bridges on the level. There is 1 switch that will transport your block to another place on the playing board at random. And there are also tiles in the playing field that are fragile and will fall away.
While figuring how to move your block to hit each switch just right, and land on the hole just right, you also have to avoid falling off the edge of the playing board.
Fortunately the tutorial for this game is pretty easy to understand.
It's a pretty fun little game, but it does require thinking and some strategy. Once a child gets the hang of the controls they should be able to figure out the rest on their own. I would recommend this for about 8/9 years and older.
The website this is on has lots of good math games to help supplement your math and critical thinking curriculum. You can find the main index here: http://www.coolmathgames.biz/
This is a free site, but does have lots of advertising on it. Fortunately you can view the game alone in a larger pop out window, and minimize the window with the advertisements. This way your child is less likely to accidentally click on a wrong place on the website and click on an add. So far, the adds seem to be only for other games and pretty kid friendly. But they can be pretty annoying as well.
Parents: Please use caution when allowing your children to use the internet. I highly recommend you do not ever let a child use the internet alone and unsupervised. And please pre screen all websites before allowing your child to view them. The websites I recommend are kid friendly at the time of recommendation. But I can not vouch for them in any future time.
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