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Small Square

Value = 1

Rectangle

x

1

1

1

Value = x

Large Square

x

x

Value = x2

Algebra Tiles


Small Square

Value = -1

Rectangle

-x

-1

1

1

Value = -x

Large Square

-x

x

Value = -x2

Algebra Tiles


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



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-3x+2= x-1



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-3x-2= -x-1



Take Out Your Study Guide!!!


#18

+ + x

x x

–

Move the smaller

number of x’s to one side

2 = 2x - 2 +2 +2

4 = 2x

=

2x + 2 = 4x – 2

x

x

2x + 2 = 4x - 2 -2x -2x

x –

+ + ++

2 22 = x


•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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•Clear your desk! •You will only need your algebra tiles, a pencil, your balance scale worksheet, and your homework out.

Algebra Tiles


•Take your algebra tiles out of the bag and put them on your desk.•You will only need the x’s and 1’s. You will not need the x2

Algebra Tiles


Let’s try your homework. Put your name, date and period on your PINK handout. You are going to do the problems with your algebra tiles 1st!

Variables on Both Sides Algebra Equations

Name______________ Date_______________Period___


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 1st. I want to make sure you understand it conceptually before doing the algebra!


Show me problem #1 2x + 1 = x + 3

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Take 1x away from both sides.

Draw this on your homework paper

x = 2Take 1 away from both sides.


Draw problem #1 2x + 1 = x + 3

+x + += +


x xTake 1 away from both sides.

2x + 1 = x + 3 -x -x

x + 1 = 3

2(2) + 1 = 2 + 3

-1 -1 x = 2

4 + 1 = 5 5 = 5


Show me problem #2 3x + 2 = x + 8

=



x = 3Take 2 away from both sides.

Divide both sides by 2.


Draw Problem #2 3x + 2 = x + 8

+ + += +Take 1x away from both sides.

Take 2 away from both sides.

+ + + +++

Divide both sides by 2. 3x + 2 = x + 8

-x -x2x + 2 = 8

-2 -2 2x = 6

2 2 x = 3

3(3)+2= 3 + 89+2=1

1 11=11


Show me problem #3 3x - 5 = 4

=

Add 5 to both sides.


x = 3Take away the zeros



Draw problem #3 3x - 5 = 4- + +

=Add 5 to both sidesTake away the zeros

- + +


--

-

+ + +++

+++

+ +

3x - 5 = 4 +5 +5

3x = 9 3 3

x = 3

3(3) - 5 = 4 9 - 5 = 4 4 = 4


Show me problem #4 2x - 1 = 3x

=



x = -1


Draw problem #4 2x - 1 = 3x

- =Take 2x away from both sides.

2x - 1 = 3x -2x -

2x - 1 = x

2(-1) - 1 = 3(-1)-2 - 1 = -3

-3 = -3


Show me problem #5 4x + 1 = 3x - 1

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Take away 3x from both sides.

Add -1 to both sides.

Take away the zeros

x = -2


Draw Problem #5 4x + 1 = 3x - 1 + = _

Take away 3x from both sides.Add -1 to both sides.

Take away the zeros

4x + 1 = 3x – 1 -3x -3x x + 1 = -1 -1 -1 x =

-2

4(-2)+1= 3(-2) -1 -8+1= -6 –

1 -7 = -7

_ _


Put your algebra tiles back in your bag and ziplock them.

Pass your tiles forward quickly.

Pass up your balance scale worksheet.


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


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 .


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