# Geometry

Professional (X) - Geometry (X)

## 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.

## Bianca's Good Turn

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In this Cyberchase video clip, Bianca goes to an arcade in Times Square and tries her hand at Mr. Sleaze's wheel of fortune. She keeps losing the game, but notices that a boy next to her who seems to know Mr. Sleaze keeps winning by betting on black, yellow and blue. Bianca uses her knowledge of geometry and circles and points out that the game is rigged, because the pegs are all placed at different distances from the center. She removes the pegs and builds her own fair version of the game.

## Bianca's Hoop Dream

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In this Cyberchase video clip, Bianca takes her sister to basketball practices. After Bianca's sister discovers that her coach isn't there, she asks Bianca to act as their substitute coach and help them prepare for their upcoming tournament. Bianca runs drills and attempts running a play, but becomes frustrated when the girls are confused about what to do. Bianca's sister helps her use a diagram to illustrate the play, which clarifies it for the team. Later, the girls end up winning the tournament.

## Symmetry with Johnathan Coulton | The Digits

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Singer/songwriter Johnathan Coulton asks for The Digits' help to write a song about symmetry: the quality of being made up of exactly equal parts facing each other or around an axis. Gorgolax responds with a heartfelt ballad that brings tears to the inhabitants of the Uncommon Denominator.

## A Gift for Mother's Day

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In this "Cyberchase" video clip, Buzz, Hacker and Delete watch a commercial that features perfectly symmetrical shapes. Students will see that when a shape is symmetrical, both parts on opposite sides of a dividing line correspond in size and shape.

## A Different Point of View

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In this video clip, students will look at Sleight and Presto from different points of view to see different geometric shapes. The video helps students to see which points of view Sleight and Presto look the same (front and side) and different (top) from.

## Let's Tesselate 'Em!

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In this Cyberchase video clip, the CyberSquad needs to build a tile path so they can walk across red-hot lava. Digit reminds the team that there cannot be any gaps in the tiles or their feet will burn. After lining triangles up next to each other, they recognize that upside-down triangles will fill the spaces between the up-right triangles. They continue the pattern as a tessellation in order to build a safe path to walk across.

## Identifying the Synchronium Crystal

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In this Cyberchase video clip, Jackie and Inez gather information from Digit about the shape and size of a synchrometer crystal he needs. They find out that the crystal has six sides and six triangles on the top. Using this information, they generate a three-dimensional image of the object and begin their search in a room full of differently shaped cystals.

## Cyberchase: How Does Your Garden Grow?

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In this media-rich activity from Cyberchase, students review the elements that are needed to make a garden grow. They use math to measure the area of a garden and learn that area can be the same even if the geometric shape is different. Students then apply their knowledge of area and gardening to plan and create individual shoe box gardens.

## Cyberchase: Classroom of the Future

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In this media-rich activity from Cyberchase, students learn that surveys are an efficient way to collect data and to help make decisions based on evidence. They formulate survey questions about the classroom of the future, collect survey data, and analyze the data. They then apply the data to make decisions about changes that might be implemented in their classroom today.