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Card Frame

June 9th, 2009 · 14 Comments

 An interactive whiteboard resource to accompany a puzzle published in an old book by Henry Ernest Dudeney.  The puzzle is a useful one for teaching deeper mathematical thinking because while it can be solved by trial and error thinking about the maths behind it can make it much easier. 

The goal is to choose a number that all 4 sides of the frame can add up to and arrange the cards to do this.  Some numbers are possible some numbers are not.  This puzzle has been selected as it allows students of all abilities to have a go as the maths involved is not difficult.  The challenge should be to find a method of determining what numbers can be used as the common total amount and then how to make finding the layout much easier.  The resource provided here allows the puzzle to be demonstrated easily and can also allow whole class discussion of how to approach the problem.  Clicking on one card and then another causes them to swap places.  The resource totals the different lines automatically.  The original wording of the puzzle can be made to appear by clicking on the question mark button.

A printable sheet accompanies this resource which includes the original wording and diagram. It also includes the appropriate cards for cutting out to do the puzzle away from a computer.  If teachers would like the solution and maths behind it leave a comment with your email address in the box (it will not be published).  There will be at least a 5 day delay to ensure that students who have been set this as homework aren’t cheating by impersonating a teacher!

Go to interactive whiteboard resource.

Get printable resource.

Tags: Investigations · Problem Solving

14 responses so far ↓

  • 1 Mohammad Kalhoro // Jun 21, 2009 at 3:24 pm

    Can I have the solution to this problem please? Many thanks.

    Mohammad

  • 2 mars // Jun 27, 2009 at 5:51 am

    could I have the ‘maths behind it’ info please. my group has been working with the problem and having lots of fun.

  • 3 A Allsopp // Jul 28, 2009 at 3:16 pm

    I’d love to recieve the solution and maths behind this problem. I will use this in September.
    Many thanks.

  • 4 Roni // Aug 3, 2009 at 2:46 pm

    Could I have the answer to card frame & the maths behind it please? Thanks

  • 5 Kjersti // Aug 17, 2009 at 3:06 pm

    This seems like a great extra credit assignment could I get the solution? Thanks!

  • 6 A Allsopp // Aug 27, 2009 at 2:08 pm

    I really would love your solution to this please, orignal request made in July. Thanks!

  • 7 admin // Aug 27, 2009 at 2:55 pm

    Sorry you haven’t received it; it was sent on 3rd of August. I’ve sent it again today . Check it isn’t being put into to the junk folder.

    If you or anybody else still hasn’t received it let me know here.

    Spencer

  • 8 Smartboard links (september 2009) « Bernard Blogt // Sep 1, 2009 at 8:11 am

    [...] 01/09/2009 door Bernard Card Frame [...]

  • 9 F McManus // Sep 18, 2009 at 9:24 pm

    Love it. Please send the solution. Thanks

  • 10 K // Nov 4, 2009 at 5:14 pm

    Hi, could you send me the solution please ? thanks

  • 11 Suzannah // Nov 17, 2009 at 1:38 pm

    Could I please have the solution? Thanks

  • 12 Mary Patricia Peres-da-Silva // Jan 30, 2010 at 3:54 pm

    Could I please have the solutions to the problems.Thanks

  • 13 SAM // Jan 30, 2010 at 4:45 pm

    Please could i have the solution and maths behind it?! Thanks :)

  • 14 rajani // Feb 1, 2010 at 7:42 pm

    give me the answer please to the card frame asap

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