ACTIVITY

Do the activity with a partner. One of you will perform the paper folding while the other will do the recording in table 1. Start with a big square from a piece of paper. Assume that the area of the square is 64 square units.

2. Fold the four corners to the center of the square and find the area of the resulting square.

3. Repeat the process three times and record the results in the table below.

Square
Area
1
2
3

To solve this activity, we'll observe how the area of the square changes when folding the four corners into the center.

Start with a Big Square : The starting square has an area of 64 square units.

First Fold : By folding the four corners to the center, a new, smaller square is formed inside. The new sides of this square are determined by connecting the midpoints of each side of the starting square. The new square has half the area of the original square, resulting in an area of 32 square units.

Second Fold : Repeat the same process by folding the corners of the new square towards its center. Following the same principle, this would result in another square with half the area of the previous one, giving an area of 16 square units.

Third Fold : Once again, fold the corners of the square towards its center, which results in an area of 8 square units.


Summary of the Recorded Results:

Square 1: 64 square units
Square 2: 32 square units
Square 3: 16 square units
Square 4: 8 square units

By understanding this process, you can see how repeatedly folding a paper in this way continuously halves the area of the resulting square.

Answered by OliviaMariThompson | 2025-07-07