Algebra Tiles
Thursday March 08th 2018, 4:43 am
Filed under: More

We have done algebra in the past. You know the whole x+5=10, what is x? But, one of the biggest concepts in math 10 is algebraic equations and functions. An algebraic function is a function that can be defined as the root of a polynomial equation. An algebraic equation or polynomial equation is an equation of the form where P and Q are polynomials with coefficients in some field, often the field of the rational numbers. That’s what Wikipedia says, but what do I think? Well, this is basically when you take previous algebra skills and combine them with things like factoring, expanding, and even algebra tiles to solve and create complicated equations using infinitives.

That last one, algebra tiles, that is what this project and unit surround. Algebra tiles are tiles that represent X, X2, and 1. These are used to make it easier to understand and work with long and or complicated algebraic equations. These three also have twin negative brothers.

Familiar looking, right? I thought so too. I wondered why we were using some coloured squares to do math in grade 10, but even I was proved wrong. They really help. When you are working with equations like a2+10a+25, and you are told to factor it, algebra tiles make it easier. What is special about the previously mentioned equation is that it is what is called a perfect square, another big part of this project. When you draw out an equation it looks something like this.

See how this one especially makes a square, everything is even? That is a perfect square. When you work with this same structure you can work both ways, you can factor, expand and of course determine if you have a perfect square. That were the parts of this project.

We worked in partners to make a board game, this game had to have elements of chance, had to involve physical algebra tiles, and had to exhibit and explain those three topics. Myself and Aiden made a card game that influences your game pieces and board.

 

In the end I enjoyed and am proud of this project. It involved technical elements, while still being very centered around the math we were doing in class, Andy it had areas where we could show skills. Areas like videography and artistic skills. I think that Aiden and I made a game that was different, it wasn’t you usual ‘travel around a board’ game, and that’s what I think made it different and memorable.

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