Learning Across Kansas; 102; High School

(upbeat music) - Hi, and welcome to I'm your host Cindy Couchman. Learning Across Kansas between the Kansas State and the Kansas Public We're excited to continue in this time where social And we're facing health Today's episode is very near and dear to my heart it's about geometry. As a math teacher, I see math everywhere. Everywhere I look, I see math and in fact, in this shelter that I'm I see parallel lines, I I see all kinds of

in order for this shelter to be built. Today you're gonna learn about from someone that teaches physics and biology even how it relates in L.A. So we're gonna start with and I promise I'm gonna try to stay away from some corny math jokes. First up is Keil Hileman from De Soto. - Good morning and welcome back. Geometry is a fascinating subject and has been with us for a long time. There was a gentleman in And Euclid started to realize and spheres and squares and rectangles and basically everything and parts and pieces working together. The simple definition of and their relationship to each other. For example, if you there are three separate to create a section and sewn together create a volleyball.

He started to see this If you look at this to look like a Greek and Roman temple, the bottom is rectangle to create steps, the and up on top you have All of it coming together you look at the sphere of the earth, you look at the shapes and solar systems, galaxies, the universe. You can even see the same pattern inside the molecular and how they move and react to each other. They obelisk or Washington the circle on the face literally the marble that and rectangles to build structures with or spheres or a pyramid. A pyramid is four triangles connected by a base which is a square. So literally all these and it is amazing how that happens. If you look in your kitchen,

your food closet, this is the tube from inside a paper towel roll, which is actually a set of circles stacked on top of each other to create a cylinder. So one of the favorite would have to be Archimedes. He's asked to take a crown of solid gold and determine is it really solid gold. He can't figure out how to do it without tearing it And one day when he's taking a bath, the waters filled too high. He sits in the bathtub and it overflows, he instantly realizes he's got a solution, jumps up naked run some buck-naked, screaming "Eureka! Eureka!" I've got it. And he realizes that set it into a liquid like and he'll know the volume of the crown. And if it's solid gold, it Take a guess, yeah, you're right. Somebody had taken some of So the crown was not solid gold. And he proved it using geometry. Geometry is all around to Miss Kara Belew and find out

in the cities around us, have a great day. - We're going to talk we're going to take a tour and see how buildings have Our first set of buildings we're The city Wichita came to in 1915 With funds from Andrew Carnegie. In 1967, they built a and the Brutalist style is still a beacon for architects around the world. And in 2018, we just finished the new Advanced Learning which does set up for the 21st century. Next, we're going to look In 1922, the first and the Orpheum Theater here in Wichita, and you can still go to see a show. In 1969, Wichita built Century II, it's a performing arts and events space. And in 2000, Mister

to build exploration place, a And in 2010, INTRUST to host sports events, teams, concerts, and all sorts of different In 1888, the first courthouse was built. In 1892, they built the Old City building, which is now the Wichita-Sedgwick In 1932, the federal courthouse was built in the Art Deco style. In 1959, the current courthouse was built. And in 1975, our current Which does the Air Capital of the World, not only our aircraft that are being built but are Wichita airports, the Wichita Municipal Airport was built, and it was the stopover of the stars. You could go out and see because they had to stop overnight

before transcontinental flight. In 1954, the Mid-Continent It has been replaced now in 2018 by the Eisenhower National Airport that welcomes visitors Sometimes buildings are And this is one of my favorites. It's the Kansas Leadership Center. They train people from all over the world and adaptive leadership on really tough issues. We didn't even get to schools, what is your school look like? What kind of buildings Ask around, go explore a What's the history of your community? It's exciting stuff. - [Narrator] Kansas School for the remainder of the academic year. But school is still in session. Keeping students engaged in this extraordinary time is critical for their ongoing success. We salute our teachers, parents

and guardians who are their students finish this year strong. We're all ready for our But until that time, Kansas and keep working towards your (upbeat music) - Thank you, Keil and Kara, learning about the history of especially being a math teacher. And the architecture, I see math and architecture One of my favorite buildings is our Capitol in Washington DC. Inside the Capitol is the Rotunda that is in the shape of an ellipse, an ellipse has two foci points At one foci point you can speak and it can be heard yards away at the other far side of the ellipse. Speaking of ellipses, we're in Maize, Kansas, where the solar system and it's usefulness. Stan it's all yours.

- I'm Stan Bergkamp coming to you from my classroom in Maize High School. And so they want to has played an important role in the history of physics and astronomy. So one of the big debates that was what type of universe do we live in? Do we live in a geocentric? Which means that earth's centered and everything revolves around us. Or do we live in a heliocentric and the planets and everything So, when you look at how this played out, there were three big characters First one is Nicolaus Copernicus, and he wrote the revelations and publish that in 1543. So following that, there by the name of Tycho Brahe. Tycho Brahe was the first one And he had decades and about the motions of the planet. And in turn their work

by the name of Johannes Kepler. So Johannes Kepler was known And Johannes Kepler in life was to develop the laws to explain the motions of the planets. So he took the data from Tycho Brahe, and spent years coming to describe emotions to plant. So the first one is what's Law of Ellipses, basically says that, "every planet orbiting the Sun has an elliptical orbit path to it". And then ellipse has two the other one is pointed out in space. Out of that came Law of Equal "in a given amount of time, So that means, there's from the role of math. As the radius becomes smaller, When you're further away, The third one is Law of Harmonies. And this relates the period of the earth

and say, for example, the of the Earth and the radius of Mars. So this was the toughest one to come up with just because the math. So geometry is very important So I'm gonna turn that over to Shannon and she's gonna talk about how that becomes such an important There you go Shan. - Hey, everybody, geometry We really have to leave It's actually everywhere. In biology, we talk a lot That means you can look at the shape of something or how it's put together and that gives you a Take, for example this Notice how the bones are put and particular angles that allows us to move a particular to do this biceps curl. Take a look at this hinge joint, which allows for that movement.

Form and function is not Let's take a look at this Barracuda. Notice his stream line shape. That's what allows him to so that he can easily catch his prey. And when you're talking you have to talk about Take a look at these teeth. He's got over 300 serrated, and look at the angle of those teeth. That's what allows him like sea lions and sea turtles. - And for you bird lovers out there. You can tell a lot about what a bird eats by looking at its beak. Take a look at this dunlin. Notice how its beak is long and pointy that allows this bird where it seeks out insects Compare that to this avocet. Look at the upturn sweep of its beak that allows this bird to sweep

looking for insects, small crustaceans, and sometimes even small fish. Compare that to this heron, his beak is much shorter and sharper. These birds use their beaks like Spears, and they will spear their small snakes and sometimes small mammals. Lastly, look at the crossbill. These birds have a beak where the top and the bottom part of the These birds are really popular because they're able to dig Here's the unusual shape. When scientists discover something new, they often look at its form to get an idea of what its function is. As always stay curious. - I'm Dr. Lee Norman, Secretary of the Kansas Department a colonel in the Kansas

and a physician for more than 40 years. But most importantly, I'm COVID-19 is spreading here in Kansas. It's in our big cities please follow the guidance of and County Health Department. Stay at home unless you must leave for work or essential items. Practice social distancing, Stay home, stay safe and save lives. - I don't know about you, but it makes me wanna go and lift some weights So thanks for that. And although I said I was gonna try to avoid some corny math What if the little Akon "Gee, I'm a tree". You get it? Geometry, geometry. Speaking of trees, we're gonna go to Heidi and learn about Heidi, Maize take it away. - Hi, I'm Heidi Albin from and I'm here to talk to Geometry is everywhere,

of the Fibonacci Sequence? The Fibonacci Sequence that starts with one and one, and then every number after that is going to be the sum of For example, one plus one is two plus three is five, and five plus eight is 13 and so on. This sequence appears in and branches, in seed math is everywhere, and it can be used by humans to get the most out of nature and to use it most effectively, - Behind me is my 12 I've got three of these within the space. I'd like for you to take a look at what 144 square feet can do. I've got lettuce and broccoli, tons of onions and leeks, and

I used math to come up with And I actually used a 3D to find the geometry to make this work the very best for gardeners. I've used math and geometry to space all of my plants according to their needs. Two inch spacing for to create a really dense bed of radishes, learn 90 radishes per linear foot. If it were not for a working and geometrical constraints with math, there is no way I would have been able to create this system. So this is a prime example of someone who had maybe struggled in math, really began to learn to love math

when I was able to use it for my benefit once I was able to leverage I fell in love with it. Thank you so much for tuning in. - Hello, I'm Kelly Hoelting, and FFA advisor at Mission One of the things when they always ask, where am I But I have some perfect that we not only use it in ag, Whenever we go into the metal one of the things that we or something to be able to Well, since we don't have that one shop, or even when we're at school, we use a simple rule called 3-4-5. Now that 3-4-5 rule is used in carpentry and metal shops all the time, but sometimes we don't So that rule actually comes And through the Pythagorean theorem, there's something known as And there's simple numbers to be able to help us

So we're gonna use 3-4-5. But we could also use 6-8-10 and multiples throughout So 3-4-5 rule that we're that our projects are so that we can use them in our So to use the 3-4-5 method, you're gonna need a tape measure something to mark with and then So what we're building here to be able to use in addition so, on our corner that we we're gonna use our tape Now this is a smaller project, so we're just going to use But if it was a larger project, and five feet or even So first we're gonna As we measure our five three inches, we're going to mark that three inch mark. You can see here I used a thumbtack because I'm using this by myself.

Then we'll find our opposite corner. We're gonna measure down four inches. Once again, we mark with the as we come across, we have five inches. So with that five inches we know that this is a perfectly square corner and we're ready to move forward. If we want to double-check. So as you can see, the 3-4-5 to be able to take any So for our small project, we use inches. But if we're using a larger project, we would use three, four and five feet, six, eight and 10 feet or any Is a really easy way to be into the shop or wherever you need it. - [Illustrator] Hey With Kansas School buildings closed and homeless being turned into classrooms, parents and caregivers and their students learning. This is a new experience for most of us. So let's show one another a little grace. When you and your students

or stressed, take a Keeping students interested and engaged and learning is the key to success. Remember, you have an entire and teachers to lean on, reach - All right, construction they go hand in hand, the the 7-24-25 we love those Time for another corny math joke, what do you call more than one l? A parallel, good at parallels? Speaking of parallel, Sam's gonna talk about parallel structure - Hi, my name is Sam at Buhler High School and Buhler, Kansas. And we have been talking about geometry. And what in the world does Well, I will tell you, - [Narrator] What do geometry

- Both English and geometry, use something that's called parallelism. So let's talk about geometry first. - [Narrator] In geometry when lines on the same plane These lines are always - So I decided to go to see where it is that or parallel lines which is probably what you're more familiar with. And here's what I found. - [Narrator] The first thing I noticed when I stepped outside were Notice there's three parallel lines here that never intersect and as at the trees in front of our school, I realized that there's these trees will never touch. And finally, as I walked down it seemed like there were from the crosswalk, to the handrails to the roof lines to the doors. - So we know what this

What does it look like in English? - [Narrator] In English parallelism occurs when a writer uses the to show that two or more ideas - So let's start with a sample sentence. - [Narrator] I enjoy throwing and bike rides around town. When I look at this that it's supposed to do, bike rides around town. This doesn't match the other Notice how if I change hitting baseballs and riding Parallel structure, parallelism is really setting up a - What it comes down to is this, geometry helps us to understand that we see in our lives, triangles, angles, in English

it helps us to set a And now we're gonna turn things over to Cherryl Delacruz in Topeka. - Thanks, Sam, this is Cherryl Delacruz from Topeka Public Schools where Guess what young mathematicians? I have an exciting geometric It's about this box. Yes, you heard it, right. It's a pretty simple situation. But I want you to justify your reasoning with mathematics, so here you go. Would you rather push a 15 kilogram box of books up the hypotenuse Let's hear it from some of our friends. - So using the Pythagorean theorem, I calculated that triangle A has a hypotenuse of 4.47 meters. Meanwhile, triangle B has a therefore says triangle I'd rather push a 15 kilogram

- Did he save the Pythagorean theorem? Wow. - I would rather push to 15 kilogram box, up the hypothenuse of triangle B. The slope of triangle A is one half, the slope of triangle B is two nines. Two nines is less than one - Slope? Say what? - The angle of elevation of too precise, it's about 27 degrees, while B's angle of elevation So it's easier to push But since the hypotenuse I would rather push the and get the work done quicker. - Angle of elevation? Check this out. - I would rather push because if you find the work, work meaning force times

you'd see that triangle A has approximately 1316 Joules of work. While triangle B has meaning that it would take to push the box up triangle B - And work? How about some physics integration? So there you go, you from some amazing young minds. What about you? Would you rather push a 15 kilogram box of books up the hypotenuse Thank you so much and take it away, Cindy. - Thank you, Cherryl. Now I understand when we Would you rather go up a or a long sloping hill on a bike? It's all around the And it's time for one more math joke. What did the triangle say to the circle? You're pointless, get it?

'Cause the circle doesn't have points. This concludes our second episode This is made possible by a partnership between the Kansas State and the Public Broadcasting Service. We wanna thank them for their partnership. And thank you for joining us. I'm your host Cindy Couchman. (upbeat music)