Quod Erat Demonstrandum

In class

Desmos 圖形計算器
https://www.desmos.com/calculator

F.2

Ratio\rolling
http://tube.geogebra.org/student/m97180

Factorize by calculator
https://johnmayhk.wordpress.com/2008/02/23/qudratic-formula-program-casio-3950p3650p/

F.3

Trigonometry\shortest distance
http://tube.geogebra.org/student/m1159863

3D figures\concurrence of medians and bimedians of tetrahedron
http://tube.geogebra.org/m/1752669

Probability\rolling die
http://www.shodor.org/interactivate/activities/ExpProbability/

(ETV) Percentage
http://resources.hkedcity.net/resource_detail.php?rid=2104607151

Salaries Tax (by CJA)
http://tube.geogebra.org/m/1802833

Salaries Tax vs Net Chargeable Income (Excel file)
https://dl.dropboxusercontent.com/u/19150457/SFXC/johnmayhk-calculation-of-salaries-tax-and-net-chargeable-income.xlsx

Incentre
https://www.geogebra.org/m/NKcrMwPV

Circumcentre
https://www.geogebra.org/m/C5H8t7kM

Centroid
https://www.geogebra.org/m/CyKZBvZc

Orthocentre
https://www.geogebra.org/m/rAKmMGY6

作圖題
http://www.hkedcity.net/ihouse_tools/forum/read.phtml?forum_id=27877&current_page=&i=909558&t=908575

Q3 BQ
https://www.geogebra.org/m/mZNHs5g6

parallelogram and squares
http://tube.geogebra.org/m/1972351

Intercept Theorem 1
https://www.geogebra.org/m/d3Crmz3j

Intercept Theorem 2
https://www.geogebra.org/m/saSa2kwF

Intercept Theorem 3
https://www.geogebra.org/m/VfFSuhZz

Intercept Theorem : Level zero questions
https://dl.dropboxusercontent.com/u/19150457/SFXC/2016-2017/intercept-theorem-level0.pptx

Intecept Theorem : spider web
https://www.facebook.com/qedmathblog/posts/1162615597165667

(ETV) More about 3-Dimensional figures
http://resources.hkedcity.net/resource_detail.php?rid=46578071

(ETV) 續立體圖形
http://resources.hkedcity.net/resource_detail.php?rid=792726547http://resources.hkedcity.net/resource_detail.php?rid=792726547

教育局教育電視 > 數學 > 第三學習階段 (中一至中三) > 中三
http://resources.hkedcity.net/etv/search.php?curriculum=%7B%22kLA%22%3A%22%5Cu6578%5Cu5b78%22%2C%22subject%22%3A%22%5Cu7b2c%5Cu4e09%5Cu5b78%5Cu7fd2%5Cu968e%5Cu6bb5+%28%5Cu4e2d%5Cu4e00%5Cu81f3%5Cu4e2d%5Cu4e09%29%22%2C%22level%22%3A%22%5Cu4e2d%5Cu4e09%22%7D

Symmetry in Chemistry
http://symmetry.otterbein.edu/gallery/index.html

Guess a view
http://www.fi.uu.nl/toepassingen/00198/toepassing_wisweb.en.html

http://resources.edb.gov.hk/trigo/menu.htm

Chapter 5_More about 3D solids – Lesson_3D_Teacher_version

Proof of Euler’s formula

Volume of pyramid
3 pyramids of same volume forms a parallelepiped
https://tube.geogebra.org/m/2667735
blog post
https://johnmayhk.wordpress.com/2015/02/20/volume-of-truncated-prism/

Volume of sphere 1 – Cavalieri’s Principle : pyramids
http://www.geogebra.org/m/1299961
https://tube.geogebra.org/m/65961

Volume of sphere 2 – Cavalieri’s Principle : hemi-sphere and cone
https://tube.geogebra.org/m/1332523
https://tube.geogebra.org/m/1474705

Surface area of sphere
https://johnmayhk.wordpress.com/2015/02/21/surface-area-of-an-orange/

Application of trigonometry : Gradient

johnmayhk-gradient00

Google ‘gradient of road’
https://www.google.com.hk/search?q=gradient+of+road&espv=2&biw=1600&bih=755&source=lnms&tbm=isch&sa=X&ved=0ahUKEwjq5oykq6DMAhUnG6YKHRnYAm8Q_AUIBigB

Road 1

johnmayhk-gradient01

Road 2

johnmayhk-gradient02

In Hong Kong : On street

johnmayhk-gradient03

In Hong Kong : The Peak
https://www.thepeak.com.hk/en/5_5_1.asp

In Hong Kong : In SFXC

johnmayhk-gradient04

johnmayhk-gradient05

johnmayhk-gradient06

In Hong Kong : Barrier Free Access (無障礙設計)

johnmayhk-gradient-07

F.4 M1/M2

Differentiation\first and second derivatives
http://tube.geogebra.org/student/m1163207

Differentiation\y=x^3
http://tube.geogebra.org/student/m1163283

Differentiation\y=x^4
http://tube.geogebra.org/student/m1163287

The mathematical secrets of Pascal’s triangle – Wajdi Mohamed Ratemi

F.5

Circle geometry (Chord vs distance from centre)
https://www.geogebra.org/m/UUGYBRDR

Circle geometry (Angle at centre, angle at circumference)
https://www.geogebra.org/m/eyRKQqAp
https://www.geogebra.org/m/bUnSxp2P

Circle geometry (Angle in semi-circle)
https://www.geogebra.org/m/PHsW9XWc

Circumcircle and Incircle
https://www.geogebra.org/m/JUpD7vjp

Opp. angles, cyclic quad.
https://www.geogebra.org/m/xM7QuddD

Ext. angles, cyclic quad.
https://www.geogebra.org/m/BnGtmdV2

江澤民題:證明五點共圓
https://www.geogebra.org/m/apwqqWps

Quiz 2 Q.12
https://www.geogebra.org/m/nMwNrnCR

Tangent
https://www.geogebra.org/m/M8YVxjj2

Tg. from ext. pt
https://www.geogebra.org/m/ebcaSA5V

A3Q4
https://www.geogebra.org/m/sqVnP5Nb

Angle in alt. seg.
https://www.geogebra.org/m/Tyb7RYsJ

Q3-11
https://www.geogebra.org/m/vSWWGjyr

Q3-12
https://www.geogebra.org/m/hM46f55u

Transformation\translation
http://tube.geogebra.org/student/m108359
http://tube.geogebra.org/student/m108360

Equation of circle\Locus of mid-point
http://tube.geogebra.org/student/m1164835

F.6

angle between lines
http://tube.geogebra.org/m/1655331

normal
http://tube.geogebra.org/m/1654999

angle between line and plane
http://tube.geogebra.org/m/1654961

angle between planes
http://tube.geogebra.org/m/1655287

Parallelelpiped and triple product
https://www.geogebra.org/m/tT8W5kCR

Volume of tetrahedron and parallelepiped
https://www.geogebra.org/m/Um8YSkGS

Integate P(x)/Q(x)
https://dl.dropboxusercontent.com/u/19150457/SFXC/2016-2017/M2_Final_Revision/The%20integrals%20of%20the%20form.pdf

HKDSE Mathematics – Practice Papers
http://www.hkeaa.edu.hk/en/hkdse/hkdse_subj.html?A1&1&4_17

https://dl.dropboxusercontent.com/u/19150457/SFXC/2012CORE-1.pdf
https://dl.dropboxusercontent.com/u/19150457/SFXC/2012CORE-2-CHI.pdf
https://dl.dropboxusercontent.com/u/19150457/SFXC/2012M1.pdf
https://dl.dropboxusercontent.com/u/19150457/SFXC/2012M2.pdf
https://dl.dropboxusercontent.com/u/19150457/SFXC/2013CORE-1.pdf
https://dl.dropboxusercontent.com/u/19150457/SFXC/2013CORE-2.pdf
https://dl.dropboxusercontent.com/u/19150457/SFXC/2013CORE-marking.pdf
https://dl.dropboxusercontent.com/u/19150457/SFXC/2013M1.pdf
https://dl.dropboxusercontent.com/u/19150457/SFXC/2013M2.pdf
https://dl.dropboxusercontent.com/u/19150457/SFXC/2013M2-marking.pdf
https://dl.dropboxusercontent.com/u/19150457/SFXC/2014CORE-1.pdf
https://dl.dropboxusercontent.com/u/19150457/SFXC/2014CORE-1-marking.pdf
https://dl.dropboxusercontent.com/u/19150457/SFXC/2014CORE-2.pdf
https://dl.dropboxusercontent.com/u/19150457/SFXC/2014CORE-2-Solu.docx
https://dl.dropboxusercontent.com/u/19150457/SFXC/2014M1.pdf
https://dl.dropboxusercontent.com/u/19150457/SFXC/2014M1-marking.pdf
https://dl.dropboxusercontent.com/u/19150457/SFXC/2014M2.pdf
https://dl.dropboxusercontent.com/u/19150457/SFXC/2014M2-marking.pdf
https://dl.dropboxusercontent.com/u/19150457/SFXC/2015CORE-1.pdf
https://dl.dropboxusercontent.com/u/19150457/SFXC/2015CORE-1-marking.pdf
https://dl.dropboxusercontent.com/u/19150457/SFXC/2015CORE-2.pdf
https://dl.dropboxusercontent.com/u/19150457/SFXC/2015M1.pdf
https://dl.dropboxusercontent.com/u/19150457/SFXC/2015M1-marking.pdf
https://dl.dropboxusercontent.com/u/19150457/SFXC/2015M2.pdf
https://dl.dropboxusercontent.com/u/19150457/SFXC/2015M2-marking.pdf

Fun

12 coins game
http://www.novelgames.com/zh-HK/spgames/coins/
solution
http://www.novelgames.com/en/gametips/coins-12Coin-solution/

https://www.dailymotion.com/video/xsy19v_%E8%8B%B1%E5%9B%BD%E5%B9%BF%E6%92%AD%E5%85%AC%E5%8F%B8-%E4%B9%90%E5%9C%A8%E5%85%B6%E4%B8%AD%E7%BB%9F%E8%AE%A1%E5%AD%A6-bbc-the-joy-of-stats_shortfilms

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