Editing Math Extra

''Math Extra'' are notes by parent volunteer [[Dave Barker]] while he does math with enthusiastic 4th & 5th graders at [[Sagamore Hills Elementary School]].

See also: [http://sagamorehillspta.org/mathclub Sagamore Hills Math Club]

==Videos==

* Fractals
** [https://www.youtube.com/watch?v=gB9n2gHsHN4 Fractals are not self-similar]
* Fun!
** Spirals, Fibonacci, and Being a Plant: parts [https://www.youtube.com/watch?v=ahXIMUkSXX0 [1]], [https://www.youtube.com/watch?v=lOIP_Z_-0Hs [2]], [https://www.youtube.com/watch?v=14-NdQwKz9w [3]]
** [https://www.youtube.com/watch?v=VIVIegSt81k&list=PLaNzoFtkQ7rbt5ac9qdi76iNKuqZWQkB3&index=1 Hexaflexagon Series]
** [https://www.youtube.com/watch?v=Fmb3TCvlETk Base Number Jokes Explained - Numberphile]
** [https://www.youtube.com/watch?v=JJQWtGm3eIs Math Jokes Explained - Numberphile]
* Googol
** [https://www.youtube.com/watch?v=5JOAoiX1LHA Googol Song - Numberphile]
* Imaginary Numbers
** [https://www.youtube.com/watch?v=65wYmy8Pf-Y&list=PLiaHhY2iBX9g6KIvZ_703G3KJXapKkNaF&index=5 Imaginary Numbers Are Real [Part 5: Numbers are Two Dimensional]]
* Infinity
** [https://www.youtube.com/watch?v=elvOZm0d4H0 Infinity is bigger than you think - Numberphile - YouTube]
** [https://www.youtube.com/watch?v=Swm8tTLWirU Transcendental Darts - YouTube]
* Logarithms
** [https://www.youtube.com/watch?v=zzu2POfYv0Y Logarithms, Explained - Steve Kelly - YouTube]
** [https://www.youtube.com/watch?v=N-7tcTIrers How I Feel About Logarithms - YouTube]
** [https://www.youtube.com/watch?v=AuA2EAgAegE e (Euler's Number) - Numberphile - YouTube]
** [https://www.youtube.com/watch?v=sULa9Lc4pck Triangle of Power - YouTube]
* Math
** [https://www.youtube.com/watch?v=TINfzxSnnIE 9.999... reasons that .999... = 1 - YouTube]
** [https://www.youtube.com/watch?v=dLn5H69lS0w&index=9&list=PLiaHhY2iBX9g6KIvZ_703G3KJXapKkNaF Imaginary Numbers Are Real [Part 9: Closure]]
** [https://www.youtube.com/watch?v=OmJ-4B-mS-Y The Map of Mathematics]
* Operations on the number line
** [https://www.youtube.com/playlist?list=PLKXWoWb0qgQ_WaXoCd_nrq01ApxHpiKxD Transformations of the Number Line]
* Order of Operations (PEMDAS)
** [https://www.youtube.com/watch?v=cWkVv1rSlD0 PEMDAS is Wrong! - The True Order of Operations: Part 1 [fbt]]
** [https://www.youtube.com/watch?v=ClYdw4d4OmA&index=7&list=PL238F98B2C6422A95 Introduction to order of operations | Arithmetic properties | Pre-Algebra | Khan Academy]
** [https://www.youtube.com/watch?v=piIcRV2dx7E&index=8&list=PL238F98B2C6422A95 Order of operations: PEMDAS | Arithmetic properties | Pre-Algebra | Khan Academy]
** [https://www.youtube.com/watch?v=y9h1oqv21Vs The Order of Operations is Wrong]
* Pi
** [https://www.youtube.com/watch?v=FpyrF_Ci2TQ Pi and the size of the Universe - Numberphile]
** [https://www.youtube.com/watch?v=jG7vhMMXagQ Pi Is (still) Wrong.]
** [https://www.youtube.com/watch?v=FtxmFlMLYRI A Song About A Circle Constant]
* Pythagorean Theorem
** [https://www.youtube.com/watch?v=odfhFSnLaaw Pythagoras Without Words - YouTube]
** [https://www.youtube.com/watch?v=tfHpsW6LBtE The Spider and the Fly - YouTube]
** [https://www.youtube.com/watch?v=QJYmyhnaaek All possible pythagorean triples, visualized - YouTube]

==Meetings==

===Next===

?

===2019-02-26===

# List on whiteboard various numbers: 0, 1, i, e, π, Φ. Review.
# Talk about rational numbers, their repeating decimals, and how some of the afore mentioned numbers are not rational
# Watch, [https://www.youtube.com/watch?v=AuA2EAgAegE e (Euler's Number) - Numberphile - YouTube]

===2019-02-19===

# Play on the whiteboard, introducing logarithms
# Watch [https://www.youtube.com/watch?v=N-7tcTIrers How I Feel About Logarithms - YouTube]
# Write out sample logarithms and see how they grow differently than multiplication

===2017-05-04===

# Completed, '''"Math Problem Solving Challenge Test / Grade 5 / 2006–2007" page 1 of 2''', page 9 of "[http://www.mathcs.emory.edu/~mic/sagamore/tex/talk5-07.pdf Sagamore Math Tournament Fernbank Afterschool Practice Dec 17 2007 Grade 5]" <br />(from http://www.mathcs.emory.edu/~mic/mathtourney.html (linked from http://sagamorehillspta.org/mathclub ))
# Introduction to the Pythagorean Theorem with, "[https://www.youtube.com/watch?v=odfhFSnLaaw Pythagoras Without Words - YouTube]", and application through, "[https://www.youtube.com/watch?v=tfHpsW6LBtE The Spider and the Fly - YouTube]"

===2017-04-20===

# Completed, "Sagamore Math Tournament Grades 4–5 practice cipher round from 2007 tournament", from pages 14–23 of "[http://www.mathcs.emory.edu/~mic/sagamore/tex/talk5-07.pdf Sagamore Math Tournament Fernbank Afterschool Practice Dec 17 2007 Grade 5]" (from http://www.mathcs.emory.edu/~mic/mathtourney.html (linked from http://sagamorehillspta.org/mathclub ))
# [https://goo.gl/photos/sxh9sSJoDN4zmQBC7 Danced]

===2017-03-16===

# Bennett shares a math problem finding missing side links of a right-angled polygon
# Dave talks about pi (because Pi Day was a couple days ago):
## How date work around the world and how their Pi Days could be different
## 22/7 as an approximation
## pi in things that don't look like circles, like infinite series (π/4 = 1 - 1/3 + 1/5 - 1/7 + 1/9 - …)
# Watch pi videos!
## [https://www.youtube.com/watch?v=FpyrF_Ci2TQ Pi and the size of the Universe - Numberphile]
## [https://www.youtube.com/watch?v=jG7vhMMXagQ Pi Is (still) Wrong.]
## [https://www.youtube.com/watch?v=FtxmFlMLYRI A Song About A Circle Constant]

===2017-03-02===

# Create an equivalent fractions problem and doodle, pass to other student, solve problem and add to doodle, repeat 4 times
# [https://www.youtube.com/watch?v=VIVIegSt81k&list=PLaNzoFtkQ7rbt5ac9qdi76iNKuqZWQkB3&index=1 Hexaflexagon Series]

===2017-02-23===

# Ms Lockwood equivalent fractions
# [http://sagamorehillspta.org/mathstars Math Stars] ([http://sagamorehillspta.org/wp-content/uploads/Math-Stars-Grade-411.pdf vol. 4] no. 7) as others finished up
## Reviewing mean, median, mode
# [https://www.youtube.com/watch?v=dLn5H69lS0w&index=9&list=PLiaHhY2iBX9g6KIvZ_703G3KJXapKkNaF Imaginary Numbers Are Real [Part 9: Closure]]

===2017-02-09===

# Ms Lockwood's test review sheet, division word problems
# [http://sagamorehillspta.org/mathstars Math Stars] ([http://sagamorehillspta.org/wp-content/uploads/Math-Stars-Grade-411.pdf vol. 4] no. 6) as others finished up
# Videos
## [https://www.youtube.com/watch?v=y9h1oqv21Vs The Order of Operations is Wrong]
## [https://www.youtube.com/playlist?list=PLKXWoWb0qgQ_WaXoCd_nrq01ApxHpiKxD Transformations of the Number Line]
## [https://www.youtube.com/watch?v=Fmb3TCvlETk Base Number Jokes Explained - Numberphile]
## [https://www.youtube.com/watch?v=JJQWtGm3eIs Math Jokes Explained - Numberphile]

===2017-01-26===

* Reviewed what the kids are doing in class
* Explore:
** What numbers are
** Different systems of representation (Mayan base 20)
** Explore bases (10, 2, 3, 12, 8)
** Order of operations

==Notes==

===Download videos===

Using [https://youtube-dl.org/ youtube-dl]:
<pre>youtube-dl --format 'bestvideo[ext=mp4][height<=720]+bestaudio[ext=m4a]/bestvideo[ext=webm][height<=720]+bestaudio[ext=webm]/best[height<=720]' --verbose</pre>

Ensures the video is no larger than 720p—to save space on portables—and prefer mp4—for portability.

==See also==

* [[Math resources]]



[[Category:Math]]