## Oops… Was that your battleship? (updated!)

The space on which linear functions are drawn is sometimes called the X-Y Plane, because it is made up of two number lines at right angles – the horizontal numberline (X -axis) and the vertical numberline (Y-axis), and defines a flat 2- dimensional area (a plane). It is properly known as the Cartesian Plane, named by Renรฉ Descartes. You may be familiar with games that use a similar system, like Battleship. Battleship isn’t quite a Cartesian Plane, since it uses letters on the horizontal axis. A game that uses the cartesian plan better is Bug hunt – which requires you to find the shortest path (via “manhattan distance” – you don’t have to understand this, but it is interesting!)

But before we can get to playing with the algebra of lines on a cartesian plane, we need to master some simple algebra first – the algebra of expansion and factorisation. We need to be able to deal with distributive law – the rule for multiplying brackets (1, 2, 3) like this:

Here is a video to remind you of this process. Don’t worry if this feels simple to you… It *will* get harder!

Here are a pair ofย “games” for you to play with (1, 2).

How to find a square root manually, using a variant of the perfect square identity: Square Roots

See you in class

**Explore posts in the same categories:**Mathematics

**Tags:** Algebra, Cartesian Coordinates, Expansion, Factorisation

March 15, 2010 at 3:54 PM

Thanks for the info ๐ And very interesting games ๐

March 16, 2010 at 3:31 PM

Hi Jack,

Have you checked the update about finding the square root manually?

MrG.

March 16, 2010 at 6:07 PM

Im on it now ๐

March 16, 2010 at 5:13 PM

MrG.

My maths online dosnt work. ๐

My username: av1367

password: past31

But it still dosnt work, help me (Y)

March 16, 2010 at 6:52 PM

Your username is av1637, not av1367!

Now you must change your password as soon as you log in.

March 16, 2010 at 8:09 PM

thanks sir :D. I am doing my homework now.

March 17, 2010 at 3:52 PM

Hey Sir, sorry for disturbing you, but for the MathsOnline thing do we only have do the three topics on there (Like terms, Multiplication, Common Factor)? Then we’re done?

March 17, 2010 at 6:24 PM

Hi Allan,

Yes, those three are all you *have* to do. You can always do more, and if I later assign them, you won’t have to do them.

March 17, 2010 at 6:25 PM

Oh, oks.

Thanks Sir. ๐

March 23, 2010 at 9:33 PM

Factorising game is pretty good sir i got the hang of it straight away ๐

March 24, 2010 at 11:18 AM

Hi Deanna,

I’m glad it makes sense to you – it is something you will have to get *very* good at!