Geometry

Math (X) - Professional (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."

Real-Life Math | Zoo Keeper, Hoofstock

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In this video, zookeeper Michelle Hatwood of the Phoenix Zoo explains how she uses math in her work with hoofstock animals, which include antelope, deer, zebra, giraffe, and rhinoceros. In the accompanying classroom activity, students solve problems that involve calculating with and converting among metric and customary measurement units. To get the most from this lesson, students should be familiar with measurement units in the customary and metric systems and be able to use a calculator to multiply and divide decimal numbers.

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.

What is a Math Mess?

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Introducing the Math Mess video series, supplemental lesson plans, and how to integrate them into the classroom. Students will use a variety of math skills to find solutions to these real world applications of mathematics.

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.

Is It Square?

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See three techniques for determining whether a rectangle truly has square corners. Learn more about construction technologies in this animation from Design Squad Nation.

Do an Hour of Code | Tynker

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Build the computer literacy and problem solving skills students need to become innovators of the future. 

Introduce students to computer programming, or take their coding skills to the next level as they engage in fun activities and projects that enhance STEM learning outcomes. With an Hour of Code with Tynker, teachers can easily introduce the basics of computer programming in a fun and intuitive way.  Start with any of the six adventure puzzles, then students can apply what they’ve learned to create fun projects to share with others – multi-level and multi-player games, math patterns, interactive comics and greeting cards. 

No programming experience is required.  Use the resources provided to quickly plan a successful Hour of Code for your class. Students can access Candy Quest and Dragon Dash puzzles from this site.  The rest of the activities, plus a teacher's guide and answer keys, can be found at hourofcode.tynker.com.

The Math of the Winter Olympic Games | Things Explained: Angles

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In this episode of Things Explained, we take a look at Winter Olympic sports from a different angle and see how geometry plays an important role in bringing home the gold.

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.

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