Source: Cyberchase: “All the Right Angles”
Funding for the VITAL/Ready to Teach collection was secured through the United States Department of Education under the Ready to Teach Program.
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."
Investigations/Scott Foresman (2006) Picturing Polygons (Grade 5)
Investigation 2, Sessions 6-9, pp. 56-79
Here are some Frame, Focus and Follow-up suggestions for using this video in a math lesson.
What is Frame, Focus and Follow-up?
Frame: There are many ways to describe movement using math. We can record the speed of a train and the distance it travels. We can also record its direction and even the angle it might turn. Angles are a good way to describe turns. Can you think of any ways angles are used to talk about moves in sports?
Focus: As you watch this video segment, notice how the snowboard instructor describes a "360" in snowboarding. Draw a circle on a piece of paper like the one the instructor makes in the snow. In that circle, record all the angles the instructor shows Harry during his lesson.
Follow Up: What angles did the snowboard instructor teach Harry? Why did the instructor use a circle? How would you describe what a "360" is? What kind of units are used to talk about angles here?
HARRY: How am I gonna do a 360?
INSTRUCTOR: Dude, a 360 takes a lot of practice. One step at a time. Do you even know why it’s called a 360?
HARRY: Uhhh…I’m not sure. ‘Cause that’s the number of bones you can break while trying it?
INSTRUCTOR: 360 refers to degrees.
HARRY: It’s definitely colder than 360 degrees.
INSTRUCTOR: We measure temperature in degrees. But units for measuring angles are also called degrees. Do you know what a right angle is?
HARRY: Sure. It’s like a square corner.
INSTRUCTOR: Come here. Take a look at this.
INSTRUCTOR: Right. Let’s start with your board pointing here – the 0 degree mark. If you turn your board a quarter of the way around the circle, the turn you make is equal to a right angle, or 90 degrees.
HARRY: If I turn the board another 90 degrees, the turn is 90 x 2, which is 180 degrees!
INSTRUCTOR: So, how do you go 360?
HARRY: If I turn the board another 180 degrees, that’s 180 x 2, which is 360! I’m heading in the same direction as when I started. 360 means turning in a complete circle. I get it!
INSTRUCTOR: Well, it’s one thing to get it, but it’s another to do it.
HARRY: I gotta do a 360 today! I’m heading up the mountain!
INSTRUCTOR: You need to practice some more down here first.
HARRY: I’m moving on! This doesn’t look so bad. Whoa! I’m never gonna be able to do a 360. Actually, I don’t even think I can get down the slope.
EMS GUY: I can take you down if you’re really freaked.
INSTRUCTOR: Harry…check it out. You started something.
A PASSING SNOWBOARDER: Hey, dude. That move is sweet. What’s it called?
HARRY: A Harry 360.
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