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Small Square Value = 1 Rectangle x Value = x Large Square x x Value = x 2 Algebra Tiles

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Small Square Value = -1 Rectangle -x 1 1 Value = - x Large Square -x x Value = -x 2 Algebra Tiles

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We are going to use Algebra Tiles to solve algebraic equations. Algebra Tiles

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= An Equation is like a balance scale. Everything must be equal on both sides.

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= What you do to one side of an equation, you must do to the other side to keep it balanced.

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= 4x-2=2x+3 What Equation Is This?

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= -3x+1 = 2x+3 What Equation Is This?

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= -3x+2= x-1 What Equation Is This?

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= -3x-2= -x-1 What Equation Is This?

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Take Out Your Study Guide !!!

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# x x x – Move the smaller number of xs to one side 2 = 2x = 2x = 2x + 2 = 4x – 2 x x 2x + 2 = 4x x -2x x – = x

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You are going to get a set of algebra tiles to use and a balance scale worksheet. Do NOT write on the balance scale worksheet. I am going to reuse it.

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=

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Clear your desk ! You will only need your algebra tiles, a pencil, your balance scale worksheet, and your homework o ut. Algebra Tiles

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Take your algebra tiles out of the bag and put them on your desk. You will only need the xs and 1s. Y ou will not need the x 2 Algebra Tiles

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Lets try your homework. Put your name, date and period on your PINK handout. You are going to do the problems with your algebra tiles 1 st ! Variables on Both Sides Algebra Equations Name______________ Date_______________ Period___

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Then you will draw the problem. Then you will write the algebra equation, solve and show the check. It is important to see the problem on your balance scale with the algebra tiles 1 st. I want to make sure you understand it conceptually before doing the algebra!

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Show me problem #1 2x + 1 = x + 3 = Take 1x away from both sides. Draw this on your homework paper x = 2 Take 1 away from both sides.

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Draw problem #1 2x + 1 = x x ++ = + Take 1x away from both sides. x x Take 1 away from both sides. 2x + 1 = x + 3 -x -x x + 1 = 3 2(2) + 1 = x = = 5 5 = 5

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Show me problem #2 3x + 2 = x + 8 = Take 1x away from both sides. Draw this on your homework paper x = 3 Take 2 away from both sides. Divide both sides by 2.

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Draw Problem #2 3x + 2 = x = + Take 1x away from both sides. Take 2 away from both sides Divide both sides by 2. 3x + 2 = x + 8 -x -x 2x + 2 = x = x = 3 3(3)+2= =11 11=11

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Show me problem #3 3x - 5 = 4 = Add 5 to both sides. Draw this on your homework paper x = 3 Take away the zeros Divide both sides by 3.

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Draw problem #3 3x - 5 = = Add 5 to both sides Take away the zeros - ++ Divide both sides by x - 5 = x = x = 3 3(3) - 5 = = 4 4 = 4

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Show me problem #4 2x - 1 = 3x = Take 2x away from both sides. Draw this on your homework paper x = -1

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Draw problem #4 2x - 1 = 3x - = Take 2x away from both sides. 2x - 1 = 3x -2x -2x - 1 = x 2(-1) - 1 = 3(-1) = = -3

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Show me problem #5 4x + 1 = 3x - 1 = D raw this on your homework paper Take away 3x from both sides. Add -1 to both sides. Take away the zeros x = -2

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Draw Problem #5 4x + 1 = 3x = _ Take away 3x from both sides. Add -1 to both sides. Take away the zeros 4x + 1 = 3x – 1 -3x -3x x + 1 = x = -2 4(-2)+1= 3(-2) = -6 – 1 -7 = -7 _ _

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Put your algebra tiles back in your bag and ziplock them. Pass your tiles forward quickly. Pass up your balance scale worksheet.

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Teacher Note : Use the next slide as a master. Make one copy for each student to use as a placemat when using the algebra tiles for solving equations as a hands on model.

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= EQUATIONS WITH ALGEBRA TILES

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If you have trouble viewing you need MathType software: To see all math formulas correctly you need to install MathType software, similar to equation editor and is available for free at Design Science website.Design Science website

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For more information on Math Slideshows visit:

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