Yesterday we learned a snowflake has six matching arms. Mathematicians have a name for that kind of matching: symmetry. Once you can name it, you’ll see it everywhere.
Something has symmetry when you can fold it in half and both sides match perfectly. The fold line is called a line of symmetry.
The dotted line is where you would fold!
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If you folded the butterfly on the dotted line, would both sides match?
Look at your own body. Do YOU have a line of symmetry? Where is it?
What else in our room might have symmetry?
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Yes — both sides would match! And YES, your body has a line of symmetry: straight down the middle of your face and body. Two eyes, two ears, two arms, two legs — one on each side!
Try it
Mirror partners! Face a partner. One person moves slowly — raise an arm, tilt your head — and the other copies like a mirror. You two are making symmetry!
A shape can have more than one line of symmetry. Counting them is a real skill — and the pattern that emerges is surprising.
Count the dotted lines on each shape.
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Count the lines on the triangle, square, and hexagon. Do you notice a pattern?
Predict: how many lines of symmetry does a regular octagon (8 sides) have?
The circle is the tricky one. How many lines of symmetry does a circle really have?
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Triangle: 3. Square: 4. Hexagon: 6. The pattern: a regular shape has as many lines of symmetry as it has sides — so an octagon has 8. And the circle has infinite lines of symmetry: every single line through the center works. We only drew four because we ran out of room!
Try it
Letter challenge! With a partner, go through the alphabet and find every capital letter that has at least one line of symmetry. Then find the ones with two. (Hint: look hard at H, I, O, and X.)
Additional Notes/Activities
If additional activities are needed for the Morning Meeting, they will be added here.