2021 Week 2 Schedule

to possibly work in some other time:

Relays (not of the level of problems at http://www.umflint.edu/math/ Field_Day/problems , but more like some relays you'll see in old exams at http://www.kcatm.net/contest.html )/

estimation golf-https://mrnussbaum.com/estimation-valley-golf-online-game or an attempt of Dr. Hopkins at https://www.geogebra.org/m/VdYYMt8A

Some tessellation activities: https://www.youtube.com/watch?v=pMaQ-AdvgD8, http://www.shodor.org/interactivate/activities/Tessellate/,

https://www.youtube.com/watchv=WBVzoaFi90E, https://www.youtube.com/watch?v=TLWy3TZ-91o, https://www.youtube.com/watch?v=_GEQgJRzLfI, https://www.geogebra.org/m/DGFA47ym

Escher's work on tesselation: https://www.youtube.com/watch?v=Kcc56fRtrKU

Fractals: http://www.dangries.com/Flash/Fractal MakerExp/FractalMaker_exp.html

https://sciencevsmagic.net/fractal/#0060,0090,1,1,0,0,1

Graphing Calculator

Programming TI Calculators: https://www.ticalc.org/programming/columns/83plus-bas/cherny/ . https://youtu.be/_r4xcOd5tdw is the one we put into the calculator. You can also search for other videos for TI-83 programs to do specific things. Many people have created such videos.

Logic Puzzles (as teams); https://www.puzzle-shikaku.com/,https://www.chiark.greenend.org.uk/~sgtatham/puzzles/,

https://www.lsrhs.net/faculty/seth/Puzzles/

How to Avoid Mistakes Discussion (and other ways to improve contest performance)

Teamwork discussion

Edison Quotes: https://www.brainyquote.com/authors/thomas_a_edison/

Math and Music-Music from Pi:

https://www.youtube.com/watch?v=OMq9he-5HUU

Music a different way: https://www.youtube.com/watch?t=59&v=Y5seI0eJZCg , https://www.youtube.com/watch?v=PoVTcr3RDEU , https://www.youtube.com/watch?v=EwK9IvF7N5s

Exploding dots video (first of a series of many such videos): https://www.youtube.com/watch?v=1fXyW1vB4vI

Comic Math video

Konigsberg Bridge Problem: https://www.youtube.com/watch?v=nZwSo4vfw6c

Area Vanishing: http://www.mathaware.org/mam/2014

calendar/areapuzzles.html

Dragon Illusion: http://www.mathaware.org/mam/2014

/calendar/dragon.html

Thought exercises: https://www.youtube.com/watch?v=ugAUMbceVNU

Math in the Movies: https://www.youtube.com/watch?v=_IZMVMf4NQ0

optical illusions-https://www.youtube.com/watch?v=r6YiT5gYQU0

Pascal's Triangle &:Sierpinski Triangle: 3 ways to generate: https://www.geogebra.org/m/wTrjBEaC,

Reaction time: https://www.youtube.com/watch?v=-eyrYGYQFLg

Some type of coding activity: https://class42.com/robotrattle.html perhaps from code.org or gamesalad.com or https://scratch.mit.edu/

https://www.youtube.com/watch?v=04mXcF8FZps (can actually do by hand) or in 3D-https://www.geogebra.org/m/G5gvqWR9, https://www.geogebra.org/m/m5g8DPdJ or

https://www.youtube.com/watch?v=droTYSmSGHg (takes too long to do by hand) but has an interesting reversal: http://math.bu.edu/DYSYS/applets/chaos-game.html (if the game will work as it uses old Java), or use Pascal's Triangle (https://www.youtube.com/watch?v=EE0ODmhiLlA&index=9&list=PLA34565411F0821C0)-which can also be done by hand and Menger Sponge: https://www.youtube.com/watch?v=fWsmq9E4YC0. https://www.youtube.com/watch?v=XMriWTvPXHI/

Platonic Solids and working with nets-https://www.geogebra.org/m/n6EjQDw8#material/GmAtu4gt,

https://www.geogebra.org/m/n6EjQDw8, but realized the accuracy and time needed for this was not available).

Origami (some instructions at https://www.youtube.com/watch?v=TKGW2W168H0 for basic piece, then https://www.youtube.com/watch?v=_8ftAKXZ2Rc for what we made). Other instructions at http://www.mathigon.org/origami/ , more instructions at http://www.origami-resource-center.com/modular.html and http://www.origamee.net/diagrams/diagrams.html also shows other items. https://mathcraft.wonderhowto.com/how-to/modular-origami-make-truncated-icosahedron-pentakis-dodecahedron-more-0131528/ shows even more complicated origami (we won't have time to do anything this complicated). We did work in pairs to practice some of the teamwork principles we have talked about earlier in camp.

For week 3. 2018 did a modular spinner: https://www.youtube.com/watch?v=Kl-NxK-y-KY (I believe is the shape)

Vi Hart Videos on Origami, and Counting.

Erik DeMaine video on origami: https://www.youtube.com/watch?v=PHXrRgmgMWg, Robert Lang video on origami: https://www.greatbigstory.com/stories/folded-universe-the-astonishing-beauty-of-origami?playall=959

Rope tricks: http://www.mathaware.org/mam/2014/calendar/ropetricks.html

Comp Lab-Circuit Construction: https://phet.colorado.edu/en/simulation/circuit-construction-kit-dc-virtual-lab

Cryptography in Computer Lab-https://www.khanacademy.org/computing/computer-science/cryptography, https://www.nsa.gov/news-features/puzzles-activities/puzzle-periodical/

Activity from a Math Circle, https://www.mathteacherscircle.org/resources/math-sessions/#generalps gives a list of lots of potential activities. A search for Math Circle will likely reveal other math circles who often post their activities. Like contests, finding an activity can be easy, but finding one at the appropriate level of difficulty can be a challenge. We will do a Zome tool (http://www.zometool.com/) activity from http://tgmc.utulsa.edu/archives.html, may do some with 3D nets like those at https://mathigon.org/origami /

Consequences: http://www.mathaware.org/mam/2014/ (watched braids from day 2 of the month).

Comp Lab-Logic Gates: https://academo.org/demos/logic-gate-simulator/

Fractal Cut: https://www.youtube.com/watch?v=4YDHsMUQbVg

Looked at Math Awareness Month 2014-Day 3-Pack of little Fibs. Talked about Martin Gardner and his columns, many now available in CD form at http://www.amazon.com/Martin-Gardners-Mathematical-Games-Gardner/dp/0883855453 (complete contents can be seen at http://www.ansible.co.uk/misc/mgardner.html)

TED-Ed | How Big is Infinity?

Experiment-http://www.mathaware.org/mam/2014/ (watched snail ball from day 16 of the month).

Locker Problem: https://www.youtube.com/watch?v=c18GjbnZXMw&vl=en

Mathleague.org High School Sprint Problems

Project-Fractal Cuts, some Vi Hart videos: http://www.youtube.com/user/Vihart

Xactika: http://www.setgame.com/xactika/puzzle

Comp Lab-Fractals

https://www.youtube.com/playlist?list=PLA34565411F0821C0 (watched #7, but there are lots more videos there).

http://math.bu.edu/DYSYS/applets/chaos-game.html

Proofs: http://mathoverflow.net/questions/ 8846/proofs-without-words

http://www.artofproblemsolving.com/Wiki/ index.php/Proofs_without_words

http://thisisstatistics.org/students/#statisticians

Mistake Proofs

2048: http://gabrielecirulli.github.io/2048/

2048-Fibonnaci Version: http://www.crazygames.com/game/2584-fibonacci

24 game http://www.4nums.com/

Twin Prime Conjecture: https://www.youtube.com/watch?v=6yrEA5hs-hk

John Williams is the Man: https://www.youtube.com/watch?v=lk5_OSsawz4

Maybe some work using the Countdown Numbers game: videos like: https://www.youtube.com/watch?v=pfa3MHLLSWI and newer version: https://www.youtube.com/watch?v=9eMs_o08Gm4

Computer apps to play Countdown: http://happysoft.org.uk/countdown/numgame.php or https://nrich.maths.org/6499

Maybe flextangles activities: https://www.youtube.com/watch?v=pta1R7g05Xg,

Perhaps something with spirographs: http://www.mathplayground.com/Spiromath.html, https://www.geogebra.org/m/d4duHF2C

Perhaps something related to a kaleidoscope: https://www.geogebra.org/m/FzjNYuV9, https://www.youtube.com/watch?v=wEhmFskODNc

Statistician videos: http://thisisstatistics.org/students/#statisticians, https://www.learner.org/courses/againstallodds/unitpages/index.html

TED talks on Math (many are too long to watch at camp): https://www.ted.com/playlists/189/math_talks_to_blow_your_mind, http://ed.ted.com/series/math-in-real-life

The Engineer Guy: https://www.youtube.com/results?q=engineerguy

Mathematical Moments: http://www.ams.org/samplings/mathmoments/browsemoments?cat=all, all have posters, some have a podcast with them.

NASA videos-From Hidden to Modern Figures: https://www.nasa.gov/modernfigures/videos

Math Olympiad -https://www.imo-official.org/

Videos with some problem solving techniques: https://www.youtube.com/playlist?list=PLxJxkVaCA_7IXPRdKjSzmr4Cpht1830cT

Books for working with young problem solvers: http://bookstore.ams.org/MCL

Mathematical Impressions videos: https://www.simonsfoundation.org/category/multimedia/mathematical-impressions-multimedia/, by George Hart. They also have science videos: https://www.simonsfoundation.org/category/multimedia/science-lives/

Videos on Math: https://www.youtube.com/channel/UCMpizQXRt817D0qpBQZ2TlA, https://www.youtube.com/channel/UC1_uAIS3r8Vu6JjXWvastJg,

https://www.youtube.com/user/MathsInspiration/videos, https://www.youtube.com/user/numberphile/videos ,

http://wild.maths.org/-mathematical activities and stories.

Maybe an activity from http://thewessens.net/ClassroomApps/index.html?topic=home# or http://www.celebrationofmind.org/?page_id=1346

Math in the movies: https://www.youtube.com/watch?v=_IZMVMf4NQ0&t=2s

Cryptography: http://www.simonsingh.net/The_Black_Chamber/index.html

The staircase pattern: https://www.youtube.com/watch?v=Kx6X7XGEJv0, polygonal numbers: https://www.youtube.com/watch?v=CxOapqYOhug&t=26s

Math Encounter videos, https://www.youtube.com/playlist?list=PLBC7544C3215C63A0, from the National Museum of Mathematics, http://momath.org/. They have a song competition and some songs are at https://www.youtube.com/playlist?list=PLvBeH0oPsOMVFKWPuzkBu_s9JXGt3fVrh

http://www.nbc.com/americas-got-talent/video/nick-uhas/3529877 from America's Got Talent. He also has other videos at https://www.youtube.com/user/NickUhas/featured.

The Simplest Impossible Problem: https://www.youtube.com/watch?v=m4CjXk_b8zo

a little discussion of the Pythagorean Theorem (http://www.mathsisfun.com/geometry/pythagorean-theorem-proof.html) and curve stitching (http://www.ams.org/samplings/curve-stitching and

http://britton.disted.camosun.bc.ca/string_art/jbstringart.html) and connections.

Demo Sum of All Thrills- http://mathmovesu.com/games/sum-all-thrills , roller coaster design: http://puzzling.caret.cam.ac.uk/flash/roller.swf (no longer works), so did http://dep.disney.go.com/sodi_app/and http://discoverykids.com/games/build-a-coaster/ , where we intentionally made mistakes just to see what happens

Demo For the Win (https://www.artofproblemsolving.com/ftw )

Walk the Line (the idea that graphs tell stories--http://www.graphingstories.com/) ,

problems on infinity (starting with various problems from https://www.khanacademy.org/math/algebra-home/precalculus/seq-induction and moving to some videos on infinity. Hilbert's Infinite Hotel: https://www.youtube.com/watch?v=Uj3_KqkI9Zo

Vi Hart video on .9999 https://www.youtube.com/watch?v=TINfzxSnnIE and her April Fool's video on .999

Zeno's Dichotomy Paradox: https://www.youtube.com/watch?v=EfqVnj-sgcc, Five Really Big Numbers: https://www.youtube.com/watch?v=TykhPbzmyek, not enough time to watch a whole series of videos on Ridiculously Huge Numbers: https://www.youtube.com/playlist?list=PL3A50BB9C34AB36B3)

Maybe continued fractions: https://www.youtube.com/watch?time_continue=6&v=QAMXSU40ZgA

This is Statistics, http://thisisstatistics.org/, videos: https://www.youtube.com/watch?v=wV0Ks7aS7YI&list=PL3usMwLnI04wNWZBeevBvCVWbtk09tpf0