Geometry

Cyberchase (X) - Geometry (X)

Formulas for Circle Area and Circumference: Simple as Pie

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In this video from Cyberchase, Bianca and her friend team up to sell pies. Bianca learns that pie-pan sizes are the measured diameter of the pan, but that there is a mathematical relationship between the diameter of the pan and the circumference of the pan. In the accompanying classroom activity, students calculate the circumference of a variety of wheels. This resource is part of the Math at the Core: Middle School Collection.

Skate-Off: Final Round, Inez vs. Rimm

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In this video segment from Cyberchase Inez competes in a rollerblading competition against Rimm, a skater for Team Hacker. Just before Inez skates, Hacker changes the shape of the field. It still has the same perimeter, but it is much narrower. The CyberSquad decides to compare the perimeter and area of the three different fields they've had to skate on to make sure it is a fair competition.

Building a Fence

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In this Cyberchase video segment, Harley convinces Harry to help put up a fence in their grandmother's backyard. With no instructions other than to put up the fence in the shape of a rectangle, Harry must figure out how to do this with different lengths of fencing. He breaks the problem down by adding up different combinations of pieces and then drawing a diagram to figure out where to place the pieces.

Wallpaper Tessellations | Cybechase

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In this video segment from Cyberchase, Harry decides to wallpaper his living room walls. He takes some measurements and then goes to a store to buy wallpaper, but he finds out the cost is much too high. Since he still wants to cover his walls, he realizes he can use some leftover scraps of wallpaper he finds in the trash to create a tessellation on his wall.

Predicting the Angle of a Bouncing Ball

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In this Cyberchase video segment, the CyberSquad is trapped in a cave. Inez and Digit have the key to escape, but there is an enormous block of ice in their way. In order to get the key to Jackie and Matt, who are on the other side of the cave, the CyberSquad decides to slide the key along the ice until it bounces off the cave wall and travels to the other side. Since they do not want to risk losing the key, they decide to use a small model. While testing the various aiming points, the CyberSquad learns about angles of reflection.

Squares

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In this video segment from Cyberchase, the CyberSquad must build a raft to cross a river. The first raft they build floats, but there are gaps between the pieces of the raft that allow biting piranhas to jump through the holes. The CyberSquad uses their knowledge of tessellations to build a second raft that has no gaps or overlaps.

Let's Cut to Fit

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In this Cyberchase video clip, Jackie finds a rectangular box that is in need of a top. She measures the box and notes that is 16 cyber-inches vertically and 18 cyber-inches horizontally. She mistakenly draws a rhombus with the same dimensions. Matt says it looks like the rectangle is "leaning" and they discover that a rectangle must have four ninty-degree corners. They use material that already has one perfectly square corner and a carpenter's ruler to re-draw the box top.

Making Rock Candy | Cyberchase

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In this video segment from Cyberchase, Bianca helps her friend make rock candy and discovers some interesting shapes. They also visit The Museum of Natural History and look at a variety of rocks and minerals, identifying and describing the many 2-D and 3-D shapes that are found in these specimens.

Show Me What Ya Got!

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A "Cyberchase" video clip in which the kids learn about the properties of parallelograms.

Triangular Predicament

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Learn about the properties of a triangle in this "Cyberchase" clip.

Pull 'Er Up

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In this video segment from Eureeka!, the CyberSquad pulls up the flat sides of a 2-dimensional net to make a 3-dimensional building.

Triangles

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In this video segment from Cyberchase, the CyberSquad must build a path to cross a stream of hot lava. They find a pile of triangle shaped tiles which float in the lava and don’t melt. They work together to try to figure out how to create a path made of the triangle tiles that has no gaps and no overlaps. Check out the video segment "Hexagons" to see if the CyberSquad makes it across the stream of lava.

Harry Walks the Line

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In this Cyberchase video clip, Harry and his cousin are on Amsterdam Ave., but are having a hard time finding each other. First, Harry uses properties of a line to suggest that he moves north while his cousin moves south, thinking that the points will eventually converge. When that doesn't work, Harry asks his cousin to meet at the exact point on the avenue where it intersects with 79th street.

Hexagons

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In this video segment from Cyberchase, the CyberSquad must build a path to cross a stream of hot lava. They find a pile of triangle shaped tiles which float in the lava and don't melt. Unfortunately, they run out of triangle tiles when they are only half way across the stream of lava and must figure out what other tiles they can use to complete the path.

How Much Space?

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In this video segment from Totally Rad, the CyberSquad figures out how changing the shape of the perimeter changes the area inside.

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