1. Algebra Tiles Trace each tile in your notebook.1
P=4
Trace each tile in your notebook.
Color each tile the appropriate color.
Label the dimensions of each tile.
Label the Area of each tile in the center.
Calculate the perimeter of each tile underneath.
The algebra tiles will be named according to each of their areas.  The tiles have a positive side and a negative side.  In this text the positive side will be the shaded side. 1
A=1 1 x
A=xy x
P=2x +2y 1 y 1 x
P=2x+2 x
A=x x x
A= 𝑥 2 x
P=4x x 1 1 y y
A=y y y
A= 𝑦 2 y
P=4y
P=2y+2 1 y

2. 3.2.1 Modeling Area & Perimeter with Algebra tiles
HW: 3-78,79,80,82
October 17, 2018

3. Objectives
CO: SWBAT identify dimensions, and compute the areas and perimeters, of shapes formed with algebra tiles.
LO: SWBAT discuss with their teammates how to find area and perimeter of shapes using algebra tiles.

4. 3-73. Area: 𝑥 2 + 𝑦 2 +1 Area: xy+x+3𝑦 Perimeter: 4y + 2x + 2
For each of the composite polygons formed by algebra tiles below:
Use algebra tiles to build the polygon.  (Flip the tiles so that the positive side of each tile is facing up.)  Sketch the polygon on your paper. 
Label each tile on your sketch with its area.  Write a simplified expression that represents the total area of the polygon.  
Write a simplified expression that represents the total outside perimeter.
Area: 𝑥 2 + 𝑦 2 +1
Perimeter: 4y + 2x + 2
Area: xy+x+3𝑦
Perimeter: 2y + 4x + 6

5. 3-74. Use the group of algebra tiles to complete the following problems.
Arrange the algebra tiles into one large rectangle, with the x2-tile in the lower left corner.  Remember to flip the algebra tiles so that the positive side of each tile is facing up.  On your paper, sketch what your rectangle looks like.
The area of a rectangle can be written as the sum of the areas of all its parts.  Write the area of the rectangle as the sum of its parts.  Simplify your expression for the sum of the rectangle’s parts. 
The area of a rectangle can also be written as length × width.  What are the dimensions (length and width) of the overall rectangle you made?  Label your sketch with its dimensions, then write the area of the rectangle as a product, that is, length × width.
Write an equation that shows that the area written as a sum is equivalent to the area written as a product.
Area as a sum
𝑥 2 +6𝑥+8
=Area as a Product
=(𝑥+2)(𝑥+4)
Area as a Sum = Area as a Product foldable (three columns – picture in the front)