To help students understand lines of symmetry using two dimensional shapes, the use of origami would be a fun way to teach your students about math and culture. Origami is also a fun activity for all children and they will be amazed as they turn paper into cranes. This activity would also force them to learn about lines of symmetry and such.
Origami
K - Kindergarten

1 - First Grade

2 - Second Grade
        
3 - Third Grade
                  
4 - Fourth Grade
        
5 - Fifth Grade

The grade level links above will take you to the Sunshine State Standards math expectations. Each expectation also includes a printable student activity.
Math Resources
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FloridaMath.com aims to provide valuable math teaching resources for instructors and parents alike. Founded by a practicing third grade math teacher, it was constructed as a place for people to come together and share math teaching ideas. Since practicing instructors contribute to this website, the math teaching resources you will find here are both relevant and applicable.
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