PPT: Fun with Symmetry | Mathematics Olympiad Class 4 PDF Download

 Page 1


Fun with 
Symmetry
Page 2


Fun with 
Symmetry
Introduction
Symmetry
When something looks the same on both sides, 
like a mirror image.
Where to Find It
Found in designs, shapes, numbers, letters, and 
patterns.
Learning Goals
Learn to identify symmetry and create 
symmetrical designs.
Page 3


Fun with 
Symmetry
Introduction
Symmetry
When something looks the same on both sides, 
like a mirror image.
Where to Find It
Found in designs, shapes, numbers, letters, and 
patterns.
Learning Goals
Learn to identify symmetry and create 
symmetrical designs.
Symmetry in Designs
What Makes a Design Symmetrical?
A design is symmetrical if both sides match when folded 
along a line of symmetry.
Creating Symmetrical Designs
Example: Fold paper, add colors, press, and unfold to 
see a matching pattern.
Line of Symmetry
The fold line divides the design into two equal parts.
Page 4


Fun with 
Symmetry
Introduction
Symmetry
When something looks the same on both sides, 
like a mirror image.
Where to Find It
Found in designs, shapes, numbers, letters, and 
patterns.
Learning Goals
Learn to identify symmetry and create 
symmetrical designs.
Symmetry in Designs
What Makes a Design Symmetrical?
A design is symmetrical if both sides match when folded 
along a line of symmetry.
Creating Symmetrical Designs
Example: Fold paper, add colors, press, and unfold to 
see a matching pattern.
Line of Symmetry
The fold line divides the design into two equal parts.
Symmetry in Paper Folding
Paper Folding Creates Symmetry
Folding paper (e.g., for a paper airplane) 
creates symmetrical shapes.
The fold is the line of symmetry, making both 
sides identical.
Example
Fold paper in half, and both wings of the 
airplane match perfectly.
When you unfold, you can see how the 
crease divides the paper into mirror images.
Page 5


Fun with 
Symmetry
Introduction
Symmetry
When something looks the same on both sides, 
like a mirror image.
Where to Find It
Found in designs, shapes, numbers, letters, and 
patterns.
Learning Goals
Learn to identify symmetry and create 
symmetrical designs.
Symmetry in Designs
What Makes a Design Symmetrical?
A design is symmetrical if both sides match when folded 
along a line of symmetry.
Creating Symmetrical Designs
Example: Fold paper, add colors, press, and unfold to 
see a matching pattern.
Line of Symmetry
The fold line divides the design into two equal parts.
Symmetry in Paper Folding
Paper Folding Creates Symmetry
Folding paper (e.g., for a paper airplane) 
creates symmetrical shapes.
The fold is the line of symmetry, making both 
sides identical.
Example
Fold paper in half, and both wings of the 
airplane match perfectly.
When you unfold, you can see how the 
crease divides the paper into mirror images.
Symmetry with Cuts and Holes
Double Fold with Corner Cut
Fold twice, cut a corner, make two square holes on sides ³ symmetrical holes when unfolded.
Single Fold with Middle Cuts
Fold once, make two cuts in the middle ³ symmetrical shape with specific sides.
Double Fold with Center Hole
Fold twice, cut one square hole in center ³ symmetrical hole when unfolded.
Mirror Effect
Cuts and holes mirror across the fold line.