ACTIVITY
Do the activity with a partner. One of you will perform the paper folding while the other will do the recording in the table. Start with a big square from a piece of paper. Assume that the area of the square is 64 square units.
1. Fold the four corners to the center of the square and find the area of the resulting square.
2. Repeat the process three times and record the results in the table below.
Square Area
1
2
3
Answer (2)
This activity involves folding a square piece of paper and observing how the area changes with each fold. You start with a square that has an area of 64 square units. Here's a step-by-step explanation of what happens when you fold the paper:
Initial Square:
Area: 64 square units
This is the large square you start with.
First Fold:
You fold all four corners of the square to the center. This creates a smaller square.
In this case, each fold effectively reduces the dimensions. The resulting square will have an area that is half of the original square.
Area after the first fold = (1/2) × 64 = 32 square units.
Second Fold:
Repeat the folding process by folding all four corners to the center of the newly formed square.
The resulting area will again be half of the previous area.
Area after the second fold = (1/2) × 32 = 16 square units.
Third Fold:
Repeat the folding process once more.
The resulting area will be half of the previous area again.
Area after the third fold = (1/2) × 16 = 8 square units.
In summary, each time you fold the square by bringing the corners to the center, the area of the square is reduced by half. The series of areas after each fold are 32, 16, and 8 square units, respectively.
Each time you fold a square paper by bringing the corners to the center, the area of the square is halved. Starting with an area of 64 square units, the areas after each fold will be 32, 16, and 8 square units. This illustrates how folding affects the area geometrically.
;
