New Math Game: Antiderivative Block


Here’s a game I created last week called “Antiderivative Block” to encourage students to (1) learn their derivative rules well (2) begin thinking about derivatives backwards, and (3) to learn to be careful not to mix up derivatives and antiderivatives.

Two students playing the Antiderivative Block game.

Here’s the game board of a well-played game:

Game board (6x6 grid) that is almost completely used up.

The rules are very simple (they are described on the game pdf), but the game play is complex enough that you really have to be on your toes to play.  Here are a couple of students demonstrating how to play:

I have to say that watching students play this game was the most fun I have ever had in a math class.  They quickly got very competitive and I heard several students in both classes say something like “I really need to learn these derivatives” – even when you think you have won the game, it can be lost by missing a negative on an answer.  Within 10-minutes, students from different pairs were challenging each other to matches (winners played winners).  Some won on mathematical skill alone (being better at the derivatives than their opponent), some won by playing the game well (and knowing their math).  Their attempts to psych each other out and cross-group banter had me laughing so hard in one class that I was crying.

Another interesting side effect of this game was that one of my ESL students suddenly got much better at correctly saying the math because his opponents wouldn’t let him claim spaces if he said “sine x squared” instead of “sine squared x” … I think his understanding of how to SAY the math had improved ten-fold by the end of the hour.

Don’t let the calculus nature of this game fool you.  You could build the exact same game for learning trig values of special angles, for learning to simplify exponential expressions, for exponential and log functions.  As a matter of fact, on the very same day I built this game, I instantly modified it for learning vocabulary in my MathET class (lucky for me, every student already had a set of small vocabulary cards that were the same size as the gameboard spaces).  Here they are playing Geometry Vocabulary Block:

Four students playing Geometry Vocabulary Block on two game boards.

We also had one group of three players (we used red chips for the third player) and everyone who tried the 3-player game said that the gameplay was very different than the 2-player game.  So a simple alteration to the game is just to change the number of players.  The students also suggested that they wanted more cards to move into the game board so that the problems were always fresh.

Three students playing the 3-player version of the game.

P.S. Sorry about the strange RSS problem this week. It was not intentional.  Just a misguided WordPress plugin that I tried.  Needless to say, it has been disabled.

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10 Responses to “New Math Game: Antiderivative Block”

  • Very cool, Maria. I wish this article had been on my radar screen just a little bit earlier, because we JUST finished our review for an assessment on integrals this morning. Oh well, maybe next semester.

  • christie boeve says:

    This game was fun, especially if you have the right definitions on the back:)
    One thing i just thought of to add, instead of the other person just getting to steal the place if the other person got it wrong, they should have to draw one card that is left over that didn’t get on the board and answer it correctly to move into that place.

  • Dear Maria,
    First of all congratulations on your site that is truly extraordinary!
    Your dedication and vocation for teaching is unmistakable on your sites.
    I would like to share with you my personal math site which I developed several years ago http://www.maths-bingo.com
    As all sites, is constantly being updated and I am adding topics and levels continuously.
    Hope you like it! Any suggestions are more than welcomed, expected & hoped!
    You might like to know why I am sending this email precisely today.
    Well, I just read on your site the antiderivative block and was amazed since my favorite bingo is:
    http://www.maths-bingo.com/power_rule_level_1_vice_versa.html ,which I use as the first activity when I begin teaching integrals in the same way as your antiderivative block!
    Cleraly all maths teachers have a common denominator-thought!
    I send you my best regards and is a great pleasure to contact you.
    Lucila García Tavernier de Dagnino.
    (If you want to know about me http://www.highlevelmaths.com/about-me.html, I also follow you in twitter @highlevelmaths)

  • Nordin Zuber says:

    A fantastic resource – thank you!

  • Olga says:

    I love this game! This is exactly what I need for the chapter on integrals that we are starting this week in my Calculus 1 class.

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