Finding Symmetry in Nature

Finding Symmetry in Nature

CA/NY Mathematics Standard 4.G.3 Recognize a line of symmetry for a two-dimensional figure as a line across the figure such that the figure can be folded along the line into matching parts. Identify line-symmetric figures and draw lines of symmetry.

Mathematical Practices 5: Use appropriate tools strategically, and 7: Look for and make use of structure.

My family’s moving day is fast approaching which means soon I will have to say goodbye to my garden. It is autumn and the days are getting colder, but there is still a lot to enjoy outside. I thought it would be a great idea to have students explore symmetry and get some fresh air at the same time.

These images were made with an iPhone, a macro lens, and basic Windows Paint software. (And, yes, I know there are better apps out there, but I made the best of what I had!)

Reflexive Symmetry (Horizontal): when an object is identical on either side of a horizontal axis.



Reflexive Symmetry (Vertical): when an object is identical on either side of a vertical axis

Rotational Symmetry: when an object can be rotated around a point and occupy the same shape and orientation.


Rotational and Reflexive Symmetry:

Translational Symmetry: when an object can slide along an axis and occupy the same shape and orientation as another object on that axis.

Glide symmetry: when an object can slide along an axis to mirror an object on the other side of that axis.





Comments

  1. Kiera McMeekanOctober 7, 2021 at 4:52 PM

    Megan!! I love this. I really like how you incorporated a real world experience (nature) into a math lesson. It is important for students to see math exposure in everyday situations. I think the pictures are great and it reminded me that sometimes simple things are what will keep students engaged. I used to love collecting leaves as a kid, and this lesson would have been a little Kiera favorite!!!

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