1. Area & Perimeter

2. Area Area: The space that an object covers. We measure this by multiplying the length of one side by the width of one side. For example: Length is 8 and width is 3. It’s usually measured in square units. 8 x 3 = 24 sq in The area of the rectangle is 24 sq in 8 3

3. Perimeter Perimeter: The distance around a shape. We measure perimeter by adding up all the sides. For example: The length is 8 and the width is 3. Go ahead and label the two missing sides, and then add all 4 sides together. 8 + 8 + 3 + 3 = 22 in You could also do: 8 + 3 = 11 and then double that. The perimeter of the rectangle is 22 in. 8 3

4. Area & Perimeter 144 sq. in. 12 in. The area is 144 sq in (Length x Width) The perimeter is 48. Each side of the square is 12, so 12 x 4 = 48.

5. Math Workshop Let’s examine a square tile. This tile has a side length of 1 inch. Talk with a partner and figure out the perimeter and area of one square face of the tile.

6. One Square Tile Since each side measures 1 square inch, the AREA is 1 and the PERIMETER is 4. Discussion Questions: How can one tile be both 1 and 4? What are you measuring when you say the perimeter is 4 inches? What are you measuring when you say the area is 1 square inch?

7. Your Task Today you will work with a partner to build the squares shown on your handout using 1 inch color tiles, and record their perimeter and area. While you are working, think about the patterns you are noticing. These might be patterns you see as you are building the squares, or they might be something you notice about the numbers as you record the measurements. Four of you will be selected to share your observations during closing.

8. Questions to Consider How much is the perimeter increasing each time? How much is the area increasing each time? Do you notice any patterns in how the area and perimeter grow? Why do you think these patterns appear? Can you predict what the perimeter (or area) of the next square is going to be?

9. Here Are Some of Our Observations Student Observation BrooklynnThe total perimeter increases by 4 each time you increase the dimensions by 1 square inch, because square has 4 sides. Chase The area goes up by odd numbers. Caleb Squares with odd sides have odd areas. Class:If the sides of the square are doubled, so is the perimeter.