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: Sagamore Hills Math Club

Videos

• Fractals
  • Fractals are not self-similar
• Fun!
  • Spirals, Fibonacci, and Being a Plant: parts [1], [2], [3]
  • Hexaflexagon Series
  • Base Number Jokes Explained - Numberphile
  • Math Jokes Explained - Numberphile
• Googol
  • Googol Song - Numberphile
• Imaginary Numbers
  • Imaginary Numbers Are Real [Part 5: Numbers are Two Dimensional]
• Infinity
  • Infinity is bigger than you think - Numberphile - YouTube
  • Transcendental Darts - YouTube
• Logarithms
  • Logarithms, Explained - Steve Kelly - YouTube
  • How I Feel About Logarithms - YouTube
  • e (Euler's Number) - Numberphile - YouTube
  • Triangle of Power - YouTube
• Math
  • 9.999... reasons that .999... = 1 - YouTube
  • Imaginary Numbers Are Real [Part 9: Closure]
  • The Map of Mathematics
• Operations on the number line
  • Transformations of the Number Line
• Order of Operations (PEMDAS)
  • PEMDAS is Wrong! - The True Order of Operations: Part 1 [fbt]
  • Introduction to order of operations | Arithmetic properties | Pre-Algebra | Khan Academy
  • Order of operations: PEMDAS | Arithmetic properties | Pre-Algebra | Khan Academy
  • The Order of Operations is Wrong
• Pi
  • Pi and the size of the Universe - Numberphile
  • Pi Is (still) Wrong.
  • A Song About A Circle Constant
• Pythagorean Theorem
  • Pythagoras Without Words - YouTube
  • The Spider and the Fly - YouTube
  • All possible pythagorean triples, visualized - YouTube

Meetings

Next

?

2019-02-26

1. List on whiteboard various numbers: 0, 1, i, e, π, Φ. Review.
2. Talk about rational numbers, their repeating decimals, and how some of the afore mentioned numbers are not rational
3. Watch, e (Euler's Number) - Numberphile - YouTube

2019-02-19

1. Play on the whiteboard, introducing logarithms
2. Watch How I Feel About Logarithms - YouTube
3. Write out sample logarithms and see how they grow differently than multiplication

2017-05-04

1. Completed, "Math Problem Solving Challenge Test / Grade 5 / 2006–2007" page 2 problems 11–17, on page 10 of "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 ))
2. Video of math in plant growth, parts [1] and [2] of 3 (too much for this age)

2017-05-04

1. Completed, "Math Problem Solving Challenge Test / Grade 5 / 2006–2007" page 1 of 2, page 9 of "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 ))
2. Introduction to the Pythagorean Theorem with, "Pythagoras Without Words - YouTube", and application through, "The Spider and the Fly - YouTube"

2017-04-20

1. Completed, "Sagamore Math Tournament Grades 4–5 practice cipher round from 2007 tournament", from pages 14–23 of "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 ))
2. Danced

2017-03-16

1. Bennett shares a math problem finding missing side links of a right-angled polygon
2. Dave talks about pi (because Pi Day was a couple days ago):
   1. How date work around the world and how their Pi Days could be different
   2. 22/7 as an approximation
   3. pi in things that don't look like circles, like infinite series (π/4 = 1 - 1/3 + 1/5 - 1/7 + 1/9 - …)
3. Watch pi videos!
   1. Pi and the size of the Universe - Numberphile
   2. Pi Is (still) Wrong.
   3. A Song About A Circle Constant

2017-03-02

1. Create an equivalent fractions problem and doodle, pass to other student, solve problem and add to doodle, repeat 4 times
2. Hexaflexagon Series

2017-02-23

1. Ms Lockwood equivalent fractions
2. Math Stars (vol. 4 no. 7) as others finished up
   1. Reviewing mean, median, mode
3. Imaginary Numbers Are Real [Part 9: Closure]

2017-02-09

1. Ms Lockwood's test review sheet, division word problems
2. Math Stars (vol. 4 no. 6) as others finished up
3. Videos
   1. The Order of Operations is Wrong
   2. Transformations of the Number Line
   3. Base Number Jokes Explained - Numberphile
   4. 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 youtube-dl:

youtube-dl --format 'bestvideo[ext=mp4][height<=720]+bestaudio[ext=m4a]/bestvideo[ext=webm][height<=720]+bestaudio[ext=webm]/best[height<=720]' --verbose

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

See also

• Math resources