Frog Geometry

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Frog Unit Study: Learning Geometric Shapes

As teachers and homeschoolers we often think of math a subject totally unrelated to the theme we are studying. In this lens I hope to dispel l this myth. Using the frog theme we will explore geometric shapes. From the circular bubbles rising up from the frog pond to making origami frogs, this lens is all about the geometry of frogs.

Create a Frog Pond Bulletin Board using geometric shapes. Put together a triangular frog puzzle. Use pattern blocks, geoboards and many other materials to make frogs, tadpoles and the ponds they live in and around.

Children need plenty of creative hands-on learning to develop the concrete knowledge of concepts that lead to higher level mathematics. These learning center activities extend the Frog Unit Study with frog themed geometric shaped activities.

Choose a Frog Shape: 

Notice the markings on the Leopard Frog. You can see circles, squares and rectangles.

Leopard Frog

Photo Credit: Leopard Frog
on Flickr, Creative Commons.

Frog Circles

Frogs make Circles with Bubbles 

Spheres are Three Dimentional Circles

Frog Bubbles

Photo Credit: Frog Bubbles by Katie O
Used by Permission. All Rights Reserved



Bubble Solution Recipe

2/3 cup Joy dish washing soap
1 gallon water
2 to 3 tablespoons of glycerin

1. Mix up enough of the bubble solution to fill the sensory table half full.

2. Make bubble wand circles from two straws and a length of string 4 1/2 times as long as the straw threading the string through the straws and tying the ends together.

3. The children dip the bubble wands into the Bubble Solution and form bubbles.

Notice how the shape formed on the surface of the water is a circle. Bubbles in the air are three dimensional spheres.

Glycerin Usp Liquid - 4 Oz

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Procter & Gamble 00614 Joy

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SEE-THRU SENSORY TABLE

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RSVP 185-Foot Biodegradable Kitchen String

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Progressive International Flexible Straws, Set of 50

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Frog Triangles

Triangular Frog Puzzle 

Mathematics of the Frog Triangular Puzzle:

The puzzle is shaped like a triangle. Each of the pieces are also triangles. On each of the three sides of the triangles there is half a frog that fits only one other have a frog.

Note that each triangle has three sides, threes points and three angles. As all of these triangles are equilateral triangles all sides are the same length and all three angles are 45 degrees.

Poison Arrow Frogs The Best of Triazzle Puzzles In-a-box by Toysmith (DaMert) #797320

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Each Triangle has three halves of frogs. If you discover the right combination all of the frogs will be put back together. Logic and deductive reasoning are very helpful in putting together this puzzle but watch out. Sometimes it's the younger children that can think outside the box and see way to get these frogs back in their places.

Frog Squares and Rectangles

Square Frogs 

Scramble Squares: Frogs

Scramble Squares: Frogs

Easy to Play, but Hard to Solve is the motto for this deceptively simple-looking puzzle. By the time you've become addicted and find yourself unable to solve the thing, you'll realize it's not so much a motto as a warning.

Nine colorfully illustrated cardboard 4-by-4-inch squares depict various unfinished images of Blue Poison Dart frogs, North American bullfrogs, Cranwell's Horned frogs, Golden Mantellas, and Red-eyed tree frogs along their edges.

Amazon Price: $9.98 (as of 11/28/2009) Buy Now

Seven Squares, Three Frogs and Three Toads 

Move the Frogs and Toads to the Opposite sides.

L For Leapfrog
L For Leapfrog
Uptton, Clive
Buy at AllPosters.com



This games could be played online but I find that children often do better with something that they can physically move.

1. You can create this game using a pegboard with green and brown pegs representing the frogs and toads.

2. You could use Frog and Toad Lima Beans on a Checker Board.

3. You could dress up as frogs and toads and play this game Leapfrog Style out in the yard.
Toads And Frogs puzzle from Interactive Mathematics Miscellany and Puzzles
Toads And Frogs Puzzle: complete solution and several curious observations

Pegboard for the Frog and Toad Game 

Frog Chess Set for Playing the Frog and Toad Game

Pegboards and Chess Sets help children explore the properties of squares.

Notice how each of the squares has four sides, angles and corners. Notice how they fit together without leaving any spaces.

Lauri Toys Tall-Stacker Pegs and Pegboard Set

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Cut and Paste Frog Life Cycle Square 

Hop to It - Irish Frog Survey - Frog Mind Bender
Hop to It - Square Frog Puzzle

Cut out the five shapes below and put all five of them together to make a
perfect square showing the life cycle of the common frog.

- Irish Peatland Conservation Council

Tic Tac Toe Frogs and Toads 

Frog Game

Frog and Toad

Tic Tac Toe is played on a square board with 9 squares. Manipulating the frogs and toads on this board helps children understand the concept of the area of a square which in this case is 9.

By interacting with the well defined square units making up the area of this square they will come to understand the meaning of 3 X 3 = 9 and understand that that means that there are 3 units of measure on each side of the square which results in 9 area units.

Tic Tac Toe Frogs and Toads

To make this game you could:
1. Use a frog shaped hole punch to punch out green frogs and brown toads.
2. Paint pebbles to resemble frogs and toads.
3. Spray paint Lima beans green on one side and brown on the other and then add features with acrylic paint.
HowStuffWorks "Frog Crafts and Activities"
Tic-tac-toads gives a new boost to the traditional kids game. Learn how to create this frog activity in this article.
Toad Tic Tac Toe Board Game
Toad Tic Tac Toe Board Game-Mfr Item #: SMT4063009 Height: 7-3/4 in. Length: 7-3/4 in. Width/Depth: 1-1/4 in. Composition: Hand-painted resin Set includes 5 1 tall green toads and 5 1 tall brown toads.

The Geometrical Dicotomy of Frogs 

Which shape do you prefer your frogs?

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Circular or Triangular

spirituality says:

I'll go with circle - squares are boring anyhow. I love triangles too though.

Intuitive says:

Triangular. I wonder why that is?

OhMe says:

Triangular frogs are best

JaguarJulie says:

Gotta pick one? OK -- triangular! ;)

Rectangular or Square

Wysiwigs says:

Marching to the beat of a different drum over here...I'll take the squares, thank you :o)

 

Combining the Frog Shapes

Origami Frogs 

Origami is the art of Japanese paper folding. Often the first shape that a child learns is the shape of a frog.

Star with a square and fold it into a triangle. Soon you have an origami frog that even hops.

Children love making origami frogs. After manipulating the various shapes to make the frogs, they like to have contests to see how far they can jump. They record their measurements and then try adapting their geometric designs to see if they can make their frogs jump longer distances.

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Origami Jumping Frog 

Jumping Frog

Photo Credit: Origami Jumping Frog
on Flickr, Creative Commons.

How to Make an Origami Jumping Frog (with pictures) - wikiHow
wikiHow article about How to Make an Origami Jumping Frog.

Pattern Block Frog 

Set out Pattern Blocks in the Block Area and challenge children to make a frog. What shapes did they use?

PATTERN BLOCKS WOODEN

Amazon Price: $29.91 (as of 11/28/2009) Buy Now

Hands-on Math 

Hands-on Math for Organizing your Frog Unit Study Math

If I could only buy one math book to help me teach math whether as a homeschooler or as a classroom teacher it would be Hands-on Math. Organized into 19 chapters it starts with Calendar Math and goes on to Geometric Shapes, Sorting, Patterns and Countingleading up to Addition and Subtraction and culminates with Place Value,Time, Measurement and Money.

Simple black and white drawings and easy to implement learning activities accompany each chapter.

It is intended for K-1 but is easily adapted to younger and older grades and abilities.

Hands-on Math, Gr. K-1, Second Edition

Amazon Price: $13.59 (as of 11/28/2009) Buy Now

Frog Math: Predict, Ponder, Play (Great Explorations in Math & Science)

Amazon Price: (as of 11/28/2009) Buy Now

Evelyn's Hands-on Learning Blog 

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About the author of this Shaply Frog Lens: 

Find out what I'm doing after all the frogs are back in shape:

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by Evelyn_Saenz

My passion is teaching and finding ways to teach children in fun, hands-on, creative ways. The unit studies I make on Squidoo reflect my view that lea... (more)

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