http://. small square value = 1 rectangle x 1 1 1 value = x large square x x value = x 2 algebra...

http://www.mathslideshows.com

http://www.mathslideshows.com

Small Square

Value = 1

Rectangle

x

1

1

1

Value = x

Large Square

x

x

Value = x2

Algebra Tiles

http://www.mathslideshows.com

Small Square

Value = -1

Rectangle

-x

-1

1

1

Value = -x

Large Square

-x

x

Value = -x2

Algebra Tiles

http://www.mathslideshows.com

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

Algebra Tiles

http://www.mathslideshows.com

=

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

http://www.mathslideshows.com

=

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

balanced.

http://www.mathslideshows.com

=

4x-2=2x+3

What Equation Is This?

http://www.mathslideshows.com

=

-3x+1=2x+3

What Equation Is This?

http://www.mathslideshows.com

=

-3x+2= x-1

What Equation Is This?

http://www.mathslideshows.com

=

-3x-2= -x-1

What Equation Is This?

http://www.mathslideshows.com

Take Out Your Study Guide!!!

http://www.mathslideshows.com

#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

http://www.mathslideshows.com

•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.

http://www.mathslideshows.com

=

http://www.mathslideshows.com

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

Algebra Tiles

http://www.mathslideshows.com

•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

http://www.mathslideshows.com

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___

http://www.mathslideshows.com

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!

http://www.mathslideshows.com

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

=

Take 1x away from both sides.

Draw this on your homework paper

x = 2Take 1 away from both sides.

http://www.mathslideshows.com

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

+x + += +

Take 1x away from both sides.

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

http://www.mathslideshows.com

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

=

Take 1x away from both sides.

Draw this on your homework paper

x = 3Take 2 away from both sides.

Divide both sides by 2.

http://www.mathslideshows.com

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

http://www.mathslideshows.com

Show me problem #3 3x - 5 = 4

=

Add 5 to both sides.

Draw this on your homework paper

x = 3Take away the zeros

Divide both sides by 3.

http://www.mathslideshows.com

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

=Add 5 to both sidesTake away the zeros

- + +

Divide both sides by 3.

--

-

+ + +++

+++

+ +

3x - 5 = 4 +5 +5

3x = 9 3 3

x = 3

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

http://www.mathslideshows.com

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

=

Take 2x away from both sides.

Draw this on your homework paper

x = -1

http://www.mathslideshows.com

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

http://www.mathslideshows.com

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

=

Draw this on your homework paper

Take away 3x from both sides.

Add -1 to both sides.

Take away the zeros

x = -2

http://www.mathslideshows.com

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

_ _

http://www.mathslideshows.com

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

Pass your tiles forward quickly.

Pass up your balance scale worksheet.

http://www.mathslideshows.com

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.

http://www.mathslideshows.com

=

EQUATIONS WITH ALGEBRA TILES

http://www.mathslideshows.com

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 .

http://www.mathslideshows.com

For more information on Math Slideshows

visit: http://www.mathslideshows.com/