What's new at BEAM?
In the current edition of BEAM's quarterly newsletter, you'll find: a video about Elijah, plans for Giving Tuesday, our annual "math-ing campaign", what we're reading, and highlights of the BEAM trip to Yale Splash.
what's new at beam?
Welcome to the BEAM blog
In the current edition of BEAM's quarterly newsletter, you'll find: a video about Elijah, plans for Giving Tuesday, our annual "math-ing campaign", what we're reading, and highlights of the BEAM trip to Yale Splash.
On Saturday, November 11th, 90 BEAM students in eighth through twelfth grade spent the day at Yale University taking courses on topics ranging from Korean language to abstract algebra.
Yale Splash is a special event run by Yale undergraduate students who volunteer to teach classes on any topic of interest to middle and high school students. BEAM takes a group to this event each November.
The day started at 6:40am, when students boarded buses for the hour and a half hour ride to New Haven. Classes started at 9:30am, and students spent all day learning about a variety of topics.
Here's what some BEAM students said about their day:
On Saturday, October 21st, 21 BEAM 9th and 10th grade students visited Columbia University. Dr. Clark Hung, Professor of Biomedical Engineering at Columbia, met the students in the undergraduate biomedical engineering lab, and gave a half hour presentation on diabetes. He discussed both the causes of diabetes, as well as some current treatments and areas of research.
After the the talk, the students had the chance to do some hands-on work. They made alginate beads by dropping alginate solution into calcium choloride solutions. They tested different sizes of needles to make different sized beads. These beads could be used to encapsulate cells for diabetes treatment.
Everyone had fun making lots of multicolored beads.
BEAM would like to thank the Hung Lab and Columbia's engineering outreach for organizing an amazing experience.
Each summer, we ask students at the beginning and end of BEAM 6 and BEAM 7, “What’s the longest you’ve worked on a math problem?” This year, the median answer for our BEAM 7 students went from one hour to three hours and, as you’ll see, many students answered in days. The longest answer this year was “>30 days”! Students were then asked what it was like to work on a problem for that long, and you’ll see them grappling with the frustration and exhilaration that come with working hard on truly challenging problems. BEAM’s summer programs are designed to build both resilience and joy in mathematics, building a foundation that will carry students far. We’re so proud to see our middle school students become mathematicians before our very eyes each summer.
Angel is an 8th grader at MS 343, the Academy of Applied Mathematics and Technology.
Yeramis is an 8th grader at Girls Prep Lower East Side Middle School. She also attended BEAM 6 last summer.
Anthony is an 8th grader at MS 223, The Laboratory School of Finance and Technology. He also attended BEAM 6 last summer.
Camila is an 8th grader at MS 223, The Laboratory School of Finance and Technology. She also attended BEAM 6 last summer.
Maryam is an 8th grader at MS 343, the Academy of Applied Mathematics and Technology. She also attended BEAM 6 last summer.
Storm is an 8th grader at the South Bronx Early College Academy. He also attended BEAM 6 last summer.
Thays is an 8th grader at Ichan Charter School 2. She also attended BEAM 6 last summer.
Lismary is an 8th grader at Columbia Secondary School. She also attended BEAM 6 last summer.
by Dan Zaharopol
The Nobel Prize in physics was just announced for 2017, and the winners are three physicists who found proof of something called "gravitational waves," which were predicted by Albert Einstein a hundred years ago. They found these gravitational waves being generated by two black holes colliding a billion light years from Earth. Want to learn what they did and how? Read on!
A hundred years ago, Albert Einstein developed the Theory of General Relativity. It said that the force of gravity, which holds us to the surface of the Earth and keeps the Earth orbiting around the sun (and, really, makes the whole universe work) is actually because massive objects literally bend space. If you put a bowling ball on your bed, the mattress will drop down. Roll a marble along the bed, and it will fall towards the bowling ball. That's how gravity works, too.
Einstein did a whole bunch of mathematical calculations and discovered something else: that if objects were speeding up or slowing down, or changing direction, then they would also give off gravitational waves. In other words, space would not just bend in a curve like the bowling ball, but you would actually get tiny ripples like when you throw a pebble into water.
The problem is that those ripples are really small, so nothing could detect them. There wasn't anything massive enough nearby to make gravitational waves we could detect, and because the waves get weaker the farther away you get, all the massive stuff was too far for us to detect.
To fix this, scientists developed LIGO, the Laser Interferometer Gravitational-Wave Observatory, funded to the tune of a billion dollars by the National Science Foundation, and put together by MIT and Caltech.
Here's the challenge: We have to somehow detect the fact that space is contracting and getting bigger between two objects - the two objects are getting just a tiny bit closer or farther away even though they're not moving. But the amount they're getting closer together is way too small: the two objects might get closer by 0.0000000000000000001%. You didn't read that wrong. That's one part in 10^15. You'd never be able to see that!
However, the farther apart two objects are, the more space there is between them. So they built LIGO to have tubes that are two and a half miles long. (Can you imagine that? In Manhattan, this building wouldn't even fit east to west!)
Even that far apart, the biggest gravitational waves we might see would still only change the length of the tube by less than the width of a proton (which is a tiny, tiny part of an atom). But using lasers, scientists were able to set up a system that could detect even so small a change in length.
Actually, LIGO wasn't just one observatory, it was two, one in Washington and one in Louisiana. They had to build two of these huge things because with just one, if something shakes the building (like a storm or a small earthquake or a tree falling), the detector might get a false reading. But with two, you can check to see if they both got the same readings, and know for sure that it was something from outside Earth.
On September 14, 2015, both detectors picked up a signal. Scientists rushed to examine them. Did they look like signals from two objects in space colliding, which might make a strong enough signal? Yes. Could it be an accident, like a tree falling? They did a lot of probability, and confirmed that the chance of both detectors getting the same signal at the same time was too small to be coincidence. It was real.
They analyzed the signal, and they were able to use it to track down what was happening. It was two black holes colliding. Black holes are what's left behind when a huge star runs out of fuel and collapses. One of these two black holes was 36 times as massive as the sun, and the other was 29 times as massive. Despite this, they were each quite small; much smaller than our moon! These incredibly dense objects were circling each other 250 times per second before they crashed into each other, merging into an immense black hole as massive as 62 suns. (If you did the arithmetic, the other 3 solar masses were converted into energy for the gravitational waves!)
Here's the big deal. Scientists figured all this out - how big the black holes were, where they were, how fast they were circling each other - all from the gravitational waves they detected. They used the math in Einstein's theory of relativity and solved it from there!
One hundred years after Einstein predicted gravitational waves using a mathematical analysis of his theory of general relativity, we found them. It's amazing that science could make a prediction so long ago that would finally be proven now.
However, this is much more than proving Einstein's old theory. Now we can detect things about space using gravitational waves. We never would have found those two black holes without the gravitational waves, because you can't see black holes: they don't give off any light! But they do give off gravity, and now we have a way to "see" it.
Up until now, basically everything we've been able to tell about outer space comes from one of two things. One is "electromagnetic radiation," which is a fancy word for light (it includes things like x-rays and gamma rays and infrared radiation, but it's all just different wavelengths of light). But electromagnetic radiation gets blocked by dust particles out in space, so we can't see very far with it. The other way to tell anything about outer space is math, using it to make theories about what must be there. But without seeing anything to confirm the math, we can never know for sure.
Well, gravitational waves aren't blocked by dust. They keep going regardless, because they're part of spacetime itself. Using them, we can see much farther out than we could before.
Because gravitational waves move at the speed of light, we're actually seeing what happened a long time ago. Those black holes were 1.2 billion light-years away, which means they collided 1.2 billion years ago - that's how long it took for the gravitational waves to reach us. Because gravitational waves aren't blocked by dust, we should theoretically be able to see them from as far away as we want, depending on how good (and big) of a detector we build. We should be able to see all the way to the formation of the universe, which we've never really been able to see before. It will take decades, but we can really start to understand how the universe began.
It's an exciting time time to be an astrophysicist. Well over a thousand scientists worked together on this discovery. Engineers built the detector. This is one of the most amazing team efforts in the history of the world, and it will be remembered for centuries to come.
Last weekend, thousands of eighth graders lined up outside of Brooklyn Technical High School to attend the New York City High School Fair. Students and parents had the opportunity to familiarize themselves with the high school admissions process and meet with representatives from high schools all over the city in hopes of finding the right ones to apply to.
It is no secret that the NYC high school admissions process is a maze! The application process has many obstacles to get through, some of which include: taking a test, writing an essay, submitting a portfolio, attending an open house and more - just to be considered! Without navigating through these obstacles, the chances of getting in to a great-fit high school are real hard. For BEAM students, a great-ft school is one that offers advanced coursework such as AP Physics and AP Calculus, the opportunity to take college courses, a supportive and nurturing environment and the opportunity for college guidance and readiness.
Here are some common "big-picture" errors students make on their high school application (Round 1 form):
Here are some small logistical things to watch out for:
Hear what our experts have to say about their high school admissions process!
For more general information, go here:
It's time for another quarterly newsletter!
Check out BEAM's end-of-summer updates and make sure to sign up so the next newsletter comes straight to your inbox.
This past Saturday, 21 rising 9th grade BEAM students started preparing for high school. Students met in groups by school, and discussed challenges such as keeping track of assignments, avoiding procrastination, and making time for fun activities. Groups also talked through several potential social situations.
Every 9th grade student received an academic planner, and the day was capped by seven 11th/12th grade BEAM students sharing what they've learned in high school. If you missed the event, BEAM Next is for you! Join us every Saturday for guidance with academics, time to hang out with friends, and more fun BEAM classes!
Here's what some older students wished they'd known in 9th grade:
What do we do at BEAM on weekends? Check it out!
First, on Sunday, July 16, the Union students went hiking at Grafton Lakes State Park. The mellow group explored the woods while the hardcore group hiked ~7 miles and climbed the fire tower!
The next day, Monday, July 17, we went to Zoom Flume water park, for fun with water rides, wave pools, and zip lines!
On Sunday, July 23, we had a field day on campus. In the battle of green vs. yellow vs. blue vs. red vs. purple vs. orange... orange won the day!
And, of course, our final field trip was to Six Flags on a very rainy day!
We've been having so much fun at Union!
BEAM staff and students showed up in full force at Madison square Garden last weekend to show support for NY Liberty as they faced off against the Washington Mystics. The students arrived to the stadium from all around the city guided by their counselors, who were able to circumvent the various subway changes and delays. A vast majority of students were flaunting their new BEAM shirts, which were designed by Zavier, one of the BEAM 6 counselors, who also designed the BEAM 2011 shirt when he was a student at BEAM 7 (and a 7th grader!).
While only a few students were able to catch T-shirts that were fired into the audience, everyone walked away winners. Students were given snacks such as popcorn, hot dogs, hamburgers, or drinks. Not only that, students got to meet up with their new friends outside of the BHSECQ campus.
Our next trip will be to the movies to see Despicable Me 3 in a rented out theater.