Using Algebra Tiles to Build a Concrete Representation Solving Equations

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Using Algebra Tiles to Build a Concrete Representation Solving Equations. Jim Rahn LL Teach, Inc. www.jamesrahn.com James.rahn@verizon.net. The Zero Property.

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### Using Algebra Tiles to Build a Concrete Representation Solving Equations

Jim Rahn

LL Teach, Inc.

www.jamesrahn.com

James.rahn@verizon.net

Let each red square tile represent the opposite of each yellow square tile. Therefore when one red square tile and one yellow square tile are placed on a table together they cancel each other out and represent zero.

Demonstrate two other representations for zero.

Represent zero using a total of 10 tiles.

Understanding the concept of zero

Let each red rectangle tile represent the opposite of each green rectangle tile. Therefore when one red rectangle tile and one green rectangle tile are placed on a table together they cancel each other out and represent zero.

Demonstrate one other representation for zero.

Understanding the concept of zero

Make a model of the number of unit squares in Column 1.

• Then physically remove the number of unit squares shown in Column 2 from the set of unit squares shown in Column 1.
• Record the answer by sketching the number of unit squares left.
• Column 4 will be used in a later lesson.
Actions with Balanced Scales
• Tell what would happen to the balanced scale below if each of the actions listed are taken.
• Remember, the scale is reset after each action.

Two red squares were added to the right side.

• One yellow and one red square were added to the right side.
• Two yellow squares were removed from the left side and one yellow square was removed from the right side.
• A red square was added to the right side of the scale and a yellow square was added to the left side.
• One red square was added to each side of the scale.

unbalanced

balanced

unbalanced

unbalanced

balanced

balanced

• Three red squares and three yellow squares were added to the left side of the scale.
• One yellow square was removed from each side of the scale.
• Two yellow squares were placed on the right and two red squares were placed on the left side of the scale.
• A red square was placed on the left and a yellow square was removed from the right.
• Two yellow squares were removed from the left and two yellow squares were added to the right side of the scale.

balanced

unbalanced

balanced

unbalanced

Actions that Balance a Scale
• One yellow and one red square were added to the right side.
• One red square was added to each side of the scale.
• Three red squares and three yellow squares were added to the left side of the scale.
• One yellow square was removed from each side of the scale.
• A red square was placed on the left and a yellow square was removed from the right.

Use Algebra Tiles and the Balance Scale template to determine the answer to each of the problems below.

Give the value for x and explain how you determined the answer.

=

Use Algebra Tiles and the Balance Scale template to determine the answer to each of the problems below.

Give the value for x and explain how you determined the answer.

=

Use Algebra Tiles and the Balance Scale template to determine the answer to each of the problems below.

Give the value for x and explain how you determined the answer.

=

=

Use Algebra Tiles and the Balance Scale template to determine the answer to each of the problems below.

Give the value for x and explain how you determined the answer.

=

Use Algebra Tiles and the Balance Scale template to determine the answer to each of the problems below.

Give the value for x and explain how you determined the answer.

=

Use Algebra Tiles and the Balance Scale template to determine the answer to each of the problems below.

Give the value for x and explain how you determined the answer.

=

Use Algebra Tiles and the Balance Scale template to determine the answer to each of the problems below.

Give the value for x and explain how you determined the answer.

=

Use Algebra Tiles and the Balance Scale template to determine the answer to each of the problems below.

Give the value for x and explain how you determined the answer.

=

Use the algebra models to represent x + 3 = 4 on the equation balance. Find the value of x by doing the same thing to both sides of the balance until you have the x (green rectangle) by itself. Does this value make sense?

Use the algebra models to represent 2x+4 = 8 on the equation balance. Find the value of x by doing the same thing to both sides of the balance until you have the x (green rectangle) by itself. Does this value make sense?

Use the algebra models to represent on the equation balance. Find the value of x by doing the same thing to both sides of the balance until you have the x (green rectangle) by itself. Does this value make sense?

Use the algebra models to represent on the equation balance. Find the value of x by doing the same thing to both sides of the balance until you have the x (green rectangle) by itself. Does this value make sense?

Use the algebra models to represent on the equation balance. Find the value of x by doing the same thing to both sides of the balance until you have the x (green rectangle) by itself. Does this value make sense?

### Using Algebra Tiles to Build a Concrete Representation Solving Equations

Jim Rahn

LL Teach, Inc.

www.jamesrahn.com

James.rahn@verizon.net