Geometry

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.

Scale City: Greetings from Sky-Vue Drive-In

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Greetings from Sky-Vue Drive-In takes students on a tour through the history of drive-in theaters and a visit to one that's still open and thriving in Winchester, Kentucky. Looking at shadows through the drive-in movie projector introduces the relationship of a shadow's size to its distance from the light source.

Two Points Determine a Line

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In this segment from Cyberchase, Digit must make a straight line between two points and then follow the path created.

Understanding Dilations

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In this video, learn how photographers use dilations to print the same photograph in larger or smaller sizes. In the accompanying classroom activity, students consider how dilation is a geometric application of scale factor. After a brief refresher on scale, students watch the video. Then, they apply what they have learned by creating larger and smaller dilations of a picture, using the coordinate plane as their canvas. Students consider how both scale factor and the center of dilation influence the size and placement of the drawings they make.

Pythagorean Theorem Proof Using Similarity

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This module shows how to prove the Pythagorean Theorem using similar triangles.

Euclid: the Father Of Geometry

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It's important to have perspective about how some of our math concepts came about and how influential they have become.

Applying the Pythagorean Theorem

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In this video, learn how using the Pythagorean theorem can help people solve real-world problems involving distances. In the accompanying classroom activity, students develop their problem-solving, spatial reasoning, and geometry skills by putting the Pythagorean theorem to use. After a brief discussion about how to use the theorem to find the distance between two points on a coordinate grid, students partner up and play a game in which they generate (and then calculate the distance between) two or more points on the grid. As the game increases in complexity, students begin working in all quadrants and begin identifying multiple triangles that they can use to determine the distance between points.

Relationships between Angles: Figuring out Angles between Transversal and Parallel Lines

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Learn how to figure out angles between transversal and parallel lines.

Angle Basics: Measuring Angles In Degrees

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Let's find an exact way to measure an angle using a protractor. We'll also learn about acute angles.

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