Lines of Symmetry

Have you ever looked at something and thought that both sides of the object looked the same? How about a reflection?  There are shapes everywhere that have lines of symmetry, which means a shape can be folded and the other side will be exactly the same. SpashMath.com states the definition as “The symmetry that a figure has if it can be divided by a line into two parts that are mirror images” (n.d.). There is symmetry all around you; for example, nature and art are a great example. Let’s see what else we can find!

As you discover and dig deep into lines of symmetry, you will be creating your own shapes that have zero, one, and two lines of symmetry. You will see symmetry in the various activities you will be doing, which will in turn, prepare you for your final task of creating symmetrical shapes on an interactive Geoboard. 

You will want to follow the steps which will later allow you to create your shapes.

On your mark, get set, GO!

1. What exactly is symmetry? Let’s take a look at this video that shows symmetry in nature https://www.youtube.com/watch?v=J-ykLPy9Un8. There were some really good examples. For more information, watch https://www.youtube.com/watch?v=vEro2-qcFqU. After watching the videos please write down three things you have learned and one question you may have.
2. Create symmetry by creating an art project. Go to https://www.youtube.com/watch?v=q1TQtfNw4JA and it will show you how you are going to make your symmetrical masterpiece. Have fun!
3. Now you are going to test your thinking and identify lines of symmetry. Show what you know by playing a short game http://www.sheppardsoftware.com/mathgames/geometry/shapeshoot/SymmetryLinesShapesShoot.htm               
4. Next, I will have you print out http://illuminations.nctm.org/uploadedFiles/Content/Lessons/Resources/3-5/GeometryArt-AS-CreatingLines.pdf and draw the lines of symmetry in each. Turn it in to me when you are done.
5. Last time to practice! Complete the shape to make symmetry http://math.tutorvista.com/algebra/line-of-symmetry.html
6. It’s time! With all of our new found knowledge, you are going to use a digital Geo Board to create symmetrical shapes. You will create six lines of symmetry. They will include two of each:

• Zero lines of symmetry
• 1 lines of symmetry
• 2 lines of symmetry

Your virtual Geo Board awaits https://illuminations.nctm.org/Activity.aspx?id=6385

Remember, as you are going, please transfer your shapes to the dot paper.

1. Please go back to your portfolio and reflect and answer the questions given. 

Your work will be graded according to your Lines of Symmetry, Geo Board, and your response to your answers in your portfolio.

Accuracy- 100% of the total grade will be the Geo Board and that it represents the lines of symmetry. Your answers to the reflection questions will be answered with complete thought.

Symmetry is everywhere! You have seen it in nature and in art. Just look around, I bet now you can find many things that are symmetrical. If you would like, look up architecture. They have a lot of symmetry and there are some pictures that are really neat to look at.

References

10 Beautiful Examples of Symmetry In Nature. (2013, October 25). Retrieved from https://www.youtube.com/watch?v=J-ykLPy9Un8

4.2 Investigating Geometry Concepts on GeoBoards. (n.d.). Retrieved from https://illuminations.nctm.org/Activity.aspx?id=6385

Finding Lines of Symmetry. (n.d.). Retrieved from http://illuminations.nctm.org/Lesson.aspx?id=1800

Illuminations. (n.d.). Retrieved February 13, 2016, from http://illuminations.nctm.org/

Lines of Symmetry. (2014, November 26). Retrieved from https://www.youtube.com/watch?v=vEro2-qcFqU

Line of Symmetry. (n.d.). Retrieved from http://math.tutorvista.com/algebra/line-of-symmetry.html

Lines of Symmetry - Geometry: Math Games. (n.d.). Retrieved February 13, 2016, from http://www.sheppardsoftware.com/mathgames/geometry/shapeshoot/SymmetryLinesShapesShoot.htm

Splash Math - Fun Math Practice for Grades K-5. (n.d.). Retrieved from https://www.splashmath.com/math-vocabulary/geometry/line-symmetry