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# Geometry and Patterning

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Geometry and Patterning
with Mary and Melody In this program you will see some pink smiley faces. When you see one you should take off your headset and work with your partner on your worksheet. Each page will have one or more buttons like the blue arrow to the right. These buttons will take you to other pages that will teach you about Geometry!

Shapes and Patterns Some shapes that we know:
Circle Square Triangle Diamond Oval Rectangle All of these shapes and many more can be used to form patterns. Take a minute to talk to your partner about what a pattern looks like and how they are made.

- A pattern is a series of objects that are repeated in the same way.
Here are examples of patterns: Can you see the pattern below? Find the patterns with your partner. Then draw the next five shapes for each.

Complete this Pattern circle rectangle triangle
Choose the next shape by clicking on a dark blue button. circle rectangle triangle

Go back and re-read the question. There is a better choice.
Try again

Great Job! Keep Going

Complete this Pattern circle diamond square
Choose the next shape by clicking on a dark blue button. circle diamond square

Go back and re-read the question. There is a better choice.
Try again

Great Job! Let’s look at something else.

Patterns are all around us!
There are so many things that can be made into patterns. Talk with your partner and think of at least five unusual things that you can use to create patterns. TO READ OUR IDEAS CLICK HERE Patterns can also fill large spaces, they do not have to be in a straight line!

Melody's Ideas Mary's Ideas Crayons Shoes Candy Words Balls Numbers
People Stuffed Animals Keys Houses

Geometry and Patterning Terms
SLIDE TURN FLIP SYMMETRY I’m done learning these terms!

SLIDE Watch the car slide across the screen! Why is this a slide?
original car Why is this a slide? In this case the car has moved forward. It has stayed the same size and shape and also faces the same direction as the original car. Back to Main Menu

Tessellations in Art Some artists tessellate complex objects in their artwork! Artists tessellate objects like this butterfly by using the slides, turns and flips that you learned about earlier. The butterfly in this picture is also symmetrical! Now that you know all about this cool word, tessellation, you should ask Mrs. Ferrington to add it to your word board. We hope you had as much fun as we did learning about Geometry!

FLIP Watch the tree flip! Why is this a flip?
original tree FLIP Watch the tree flip! Why is this a flip? The tree is flipped from top to bottom. Each new tree is the same size and shape as the original. Back to Main Menu

All of the shapes that we used earlier for patterns have symmetry!
Why do they have symmetry? These shapes are symmetrical because you can draw a line that will split the shape into two parts that are exactly the same. Back to Main Menu

similar to turns in math!
More on Turns Things that we turn are similar to turns in math! Back to Main Menu

More on Slides Back to Main Menu

Symmetry in Nature Back to Main Menu

When we look at honeycomb close up
we can see a natural tessellation!

-There are so many things that are symmetrical about our bodies!
Look at your neighbor. You may not know it, but their body has symmetry and so does yours. More on Symmetry Mary and Melody have symmetry. We both have: 2 eyes, 2 ears, 2 arms, 2 legs and 2 feet -There are so many things that are symmetrical about our bodies! Where is the imaginary line that divides your body into two parts? Back to Main Menu Mary Melody

More on Tessellations On your worksheet you will see many objects.
Put an X through the objects that you and your partner feel cannot be tessellated. brick carpet sidewalk These are pictures of tessellations that we found at our school. You might want to look for tessellations in your classroom or at home. One last thing about tessellations!

Click here to see a tessellation
More on Tessellations Look at some more shapes that can be tessellated! Some of them have been tessellated on the page. All of the shapes can be tessellated because they fit together without any gaps! Click here to see a tessellation found in nature!

Tessellation Tessellation Has no gaps and it has no end. Tessellation!
It is a fun word to say… Tessellation! Math and art come together and play. What I see is up to me! Tessellation! Help me think of things it can be.

Why is this a Tessellation?
This is a tessellation because the triangle is repeated over and over filling the space without any gaps. Many objects can be tessellated. All it takes is many of one object that fit together like a puzzle. A circle cannot be used for a tessellation because when you fit them together there are many gaps.

TURN original light bulb Click the mouse and watch the light bulb turn. You will have to click four times to see the light bulb turn all the way back to where it started. Back to Main Menu

TURN original light bulb Click the mouse and watch the light bulb turn. You will have to click four times to see the light bulb turn all the way back to where it started. Back to Main Menu

TURN original light bulb Click the mouse and watch the light bulb turn. You will have to click four times to see the light bulb turn all the way back to where it started. Back to Main Menu

TURN original light bulb Click the mouse and watch the light bulb turn. You will have to click four times to see the light bulb turn all the way back to where it started. Back to Main Menu

TURN original light bulb Click the mouse and watch the light bulb turn. You will have to click four times to see the light bulb turn all the way back to where it started. Why is this a turn? In this case the light bulb has stayed the same size and shape as the original bulb. However with every click the bulb changes direction . Back to Main Menu

More on Flips ORIGINAL SHAPE Click the mouse to
top Click the mouse to see this shape after it has been flipped bottom Back to Main Menu

to read the explanation
More on Flips NEW SHAPE top Now click the mouse to read the explanation of this flip. bottom Back to Main Menu

More on Flips ORIGINAL SHAPE Why is this a flip? NEW SHAPE
This is a flip because the pink moon has been flipped across an imaginary line and the new red moon is upside down! NEW SHAPE Back to Main Menu

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