Geometry

Professional (X) - Cyberchase (X) - Geometry (X)

Predicting Travel Time Using Line Graphs

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In this Cyberchase video segment, Harry wants to visit his grandmother. He decides that the cheapest way for him to get there is to travel by unicycle, but he wonders if he can get there before dark. Using a line graph, he tries to predict the amount of time it will take to travel the twenty miles, assuming he travels at a constant speed. Once he sets out on his unicycle, he charts his progress on a new line graph. After the first hour he appears to be ahead of schedule, but he is not able to keep up the pace and soon finds himself falling behind.

Calculating Rectangular Area | Cyberchase

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In this video segment from Cyberchase, the CyberSquad must measure two differently-shaped parcels of land to determine which has a larger area. The CyberSquad uses tarps, fence posts, and finally a grid made out of rope to count squares and determine the area of each parcel.

What's a 360?

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In this video segment from Cyberchase, Harry is snowboarding and wants to do a move on his snowboard known as a "360." He is not sure what exactly a "360" is, but a snowboard instructor teaches him about angles and snowboard moves. Harry finally creates his own snowboard version of a "360."

Directions to Hen Rock

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In this video segment from Cyberchase, the CyberSquad follows a treasure map with riddles to find Ivanka the Invincible’s secret treasure chest. One of the riddles asks the CyberSquad to record how much of a turn they make from one object to another. To do this, they have to record the angle of the turn.

Measuring for an Exact Fit

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In this Cyberchase video segment, Matt and Jackie must figure out how to construct rectangular lids that match the size of two boxes precisely. They enlist the carpentry skills of one of the Three Little Pigs, who shows them how to use different tools to accurately measure the rectangular lids. For the first box, Jackie finds that she can easily trace the box to make a lid that fits perfectly. The second box cannot be traced, so Matt and Jackie decide to measure the sides of the box and then use the measurements to cut a rectangle of equal size out of a piece of Herculanium.

Cyberchase | Patterns in Nature

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In this video segment from Cyberchase, Bianca wants to learn why her plants keep dying, so she transports them in a carriage to the New York Botanical Garden. A helpful plant expert shows her some patterns in plants, including bilateral and rotational symmetry, before discovering the pattern that may be killing Bianca's plants.

Comparing Regular and Irregular Areas | Cyberchase

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In this video segment from Cyberchase, the CyberSquad must compare two parcels of land during a land rush. One parcel is an irregular shape and belongs to Hacker. The other parcel is a regular rectangle and belongs to Judge Trudy. By dividing each parcel into squares and triangles, they prove that the two shapes have the same area.

Finding the Circle's Center | Cyberchase

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In this video segment from Cyberchase, the CyberSquad must reclaim the Totally Rad Ring by making an exact duplicate. To do that, they must determine the radius of the ring and the exact center. The ring then must be placed in the exact center of a circle.

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.

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