Problem Description:
The task involves solving paper-folding exercises. The goal is to determine the correct pattern that results from folding a square piece of paper along specified lines and then unfolding it. Each exercise shows an initial square with dots, a folding direction, and several options for the resulting pattern after folding and unfolding.
Solution Approach:
1.
Understand the Folding Direction:
- The arrows indicate how the paper should be folded.
- Horizontal arrows mean the paper is folded horizontally.
- Vertical arrows mean the paper is folded vertically.
- Diagonal arrows mean the paper is folded diagonally.
2.
Visualize the Folding:
- Imagine folding the paper along the indicated lines.
- When the paper is folded, the dots on one side will align with the dots on the other side.
- After folding, the dots will appear in specific positions based on the fold.
3.
Match the Resulting Pattern:
- Compare the resulting pattern after folding and unfolding with the given options.
- Choose the option that matches the expected pattern.
Detailed Solutions:
####
Exercise 01
-
Initial Square: A square with two dots in the top-left and bottom-right corners.
-
Folding Direction: Horizontal (indicated by the horizontal arrow).
-
Folding Process:
- Fold the paper horizontally.
- The top half will overlap the bottom half.
- The dot in the top-left corner will align with the dot in the bottom-left corner.
- The dot in the top-right corner will align with the dot in the bottom-right corner.
-
Resulting Pattern:
- After unfolding, there will be four dots: two in the left column and two in the right column.
- This matches
Option (2).
####
Exercise 02
-
Initial Square: A square with two dots in the top-left and bottom-right corners.
-
Folding Direction: Vertical (indicated by the vertical arrow).
-
Folding Process:
- Fold the paper vertically.
- The left half will overlap the right half.
- The dot in the top-left corner will align with the dot in the top-right corner.
- The dot in the bottom-left corner will align with the dot in the bottom-right corner.
-
Resulting Pattern:
- After unfolding, there will be four dots: two in the top row and two in the bottom row.
- This matches
Option (2).
####
Exercise 03
-
Initial Square: A square with two dots in the top-left and bottom-right corners.
-
Folding Direction: Diagonal (indicated by the diagonal arrow).
-
Folding Process:
- Fold the paper diagonally from the top-left corner to the bottom-right corner.
- The top-left dot will align with the bottom-right dot.
- The top-right dot will align with the bottom-left dot.
-
Resulting Pattern:
- After unfolding, there will be four dots forming a diamond shape.
- This matches
Option (4).
Final Answers:
-
Exercise 01:
(2)
-
Exercise 02:
(2)
-
Exercise 03:
(4)
Boxed Final Answer:
\[
\boxed{(2), (2), (4)}
\]
Parent Tip: Review the logic above to help your child master the concept of spatial visualization worksheet.
