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Symmetry, Patterns, Symmetry, Patterns, and and Geometric Shapes in Geometric Shapes in the the Adirondack Mountains Adirondack Mountains By Lee Kaltman and By Lee Kaltman and Tracy Wixson Tracy Wixson

Patterns Symmetry in Math_ SUNY Cortland_072010

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Page 1: Patterns  Symmetry in Math_ SUNY Cortland_072010

Symmetry, Patterns, and Symmetry, Patterns, and Geometric Shapes in the Geometric Shapes in the

Adirondack MountainsAdirondack MountainsBy Lee Kaltman and By Lee Kaltman and

Tracy WixsonTracy Wixson

Page 2: Patterns  Symmetry in Math_ SUNY Cortland_072010

What is a pattern? A Pattern constitutes a set of numbers

or objects in which all the members are related with each other by a specific rule.

Pattern is also known as sequence. There can be finite or infinite number of

members in a pattern.

Page 3: Patterns  Symmetry in Math_ SUNY Cortland_072010

What is Symmetry? Symmetry is when one shape becomes Symmetry is when one shape becomes exactly like another if you flip, exactly like another if you flip, slide or turn it.slide or turn it.

Another type of symmetry is Another type of symmetry is reflection symmetry or line symmetry. reflection symmetry or line symmetry. One half is the reflection of the One half is the reflection of the other half.The "Line of Symmetry" is other half.The "Line of Symmetry" is the imaginary line where you could the imaginary line where you could fold the image and have both halves fold the image and have both halves match exactly.match exactly.

Page 4: Patterns  Symmetry in Math_ SUNY Cortland_072010

Why the Adirondacks?History Big Camps

Architecture and art of William West Durant

Nature Forever Wild

Page 5: Patterns  Symmetry in Math_ SUNY Cortland_072010

Now we are going to do an activity

See if you can identify any of these things in the following pictures:

Do you see any patterns?Do you see symmetry?Do you see any geometric shapes?

Page 6: Patterns  Symmetry in Math_ SUNY Cortland_072010

What do you see in this picture?

Page 7: Patterns  Symmetry in Math_ SUNY Cortland_072010

What do you see in this picture?

Page 8: Patterns  Symmetry in Math_ SUNY Cortland_072010

What do you see in this picture?

Page 9: Patterns  Symmetry in Math_ SUNY Cortland_072010

What do you see in this picture?

Page 10: Patterns  Symmetry in Math_ SUNY Cortland_072010

What do you see in this picture?

Page 11: Patterns  Symmetry in Math_ SUNY Cortland_072010

What do you see in this picture?

Page 12: Patterns  Symmetry in Math_ SUNY Cortland_072010

What do you see in this picture?

Page 13: Patterns  Symmetry in Math_ SUNY Cortland_072010

What do you see in this picture?

Page 14: Patterns  Symmetry in Math_ SUNY Cortland_072010

What do you see in this picture?

Page 15: Patterns  Symmetry in Math_ SUNY Cortland_072010

What do you see in this picture?

Page 16: Patterns  Symmetry in Math_ SUNY Cortland_072010

What do you see in this picture?

Page 17: Patterns  Symmetry in Math_ SUNY Cortland_072010

What do you see in this picture?