Algebra Tiles and Variables

Today is class Mrs. Baker-Worthington had us do an assignment called, “What is a Variable?” To me a variable is a letter from the alphabet that represents a number that is unknown. There’s about six types of tiles I know about they are the unit tile, the x tile, the y tile, the x2 tile, the y2 tile and the xy tile. How you know it’s that unit is when you the length and width both have to be to equal this unit 1(1) = 1 unit, x(1) = x tile, y(1) = y units, x(x) = x2 units, y(y) = y2 . The tiles can not be combined when it doesn’t equal with the length or width of the other tile.

Finding Perimeter and Combining Like Terms

You can do zero pairs to simplify the expression.

 What Does Minus Mean?

I the minus means to subtract, take away and opposite of addition or an negative integer. It could also mean division if on is on top of the minus sign and ones below it or it could be a fraction. The minus sigh is basic math which is below zero and less. In another way the minus sign can be represented as in non math related way it could be used as a symbol or a dash.

Representing Expressions on an Expression Mat

Today mrs worthington showed us and thought us two different way we can represent an expression. Mrs worthington told us that the tiles on the negative section is actually the opposite of what you see and that the positive section in what you see in what it actually is. Ways we can do two differ ways with the expression x-1-(2x-3) is to put all of the tile on the top with all of them shared in expect 3 units and another way is to put 2x tiles in the negative section but not shaded in and 2 units but shaded and in the positive section you have a x tile shaded in and 2 units one shaded and one not.

Using Zero to Simplify

Two different ways you can represent zero is having 2y tile but only have one shaded and in the positive section. Another way is that you can put 2x tiles one in the positive section and one in the negative section and don’t shade in any and all theses will simplify to zero.

Legal Moves For simplifying  and Comparing Expressions

Today in class we learned that if there’s two zero pairs than we can cancel them out this is a legal move. An example of an legal move is if we have a positive unit in the positive section than a negative unit but is shaded in as a positive in the negative section than we can cancel them out because they are a zero pair.

Solution of an Equation

When you can not solve x than it has no solution and the expression is the same. If it does have a solution than the solution would be x= something if it’s x=x than its infinite or if it’s 2=2 than it has so solution .