Quod Erat Demonstrandum

In class

F.2 Total Surface Area of Cylinder

https://www.geogebra.org/m/sen3tkbm

F.2 Similar Triangles

https://www.geogebra.org/classic/uzftffnz

AA
https://www.geogebra.org/m/Q8EYTUK2

SAS
https://www.geogebra.org/m/ex24tymd

Side ratios
https://www.geogebra.org/m/z9NHEdrz

2020 HKDSE Math (I) Q.17

https://www.geogebra.org/classic/segxcekj

Maximum absolute error

https://www.youtube.com/watch?v=BoAeHjJbHAc

A F.6 3D trigonometry problem involving bearing

https://www.geogebra.org/3d/bnj9sufu

F.6D (19/10/2021) Sum of G.S. to infinity

https://artofproblemsolving.com/wiki/index.php/Proofs_without_words

F.2C (18/10/2021)

Difference of Squares

https://youtu.be/oPCAI-tRF8o

F.2E (2021-06-01) extra lesson

Sector and angle

https://www.geogebra.org/classic/mkasxpqz

https://www.geogebra.org/m/qhm4febt

F.1A (2021-05-26)

Rotate a point about O.

https://www.geogebra.org/classic/dhzjr4mj

F.2E (2021-05-25)

Revolution vs circumference

https://www.geogebra.org/classic/gd5ftdqd

Proof 1

https://youtu.be/2wL_dIDTc3w

Proof 2

https://youtu.be/YokKp3pwVFc

F.2E (2020-10-12)

Google form : F.2 Mathematics Exercise (2020-10-12) Level 1

https://forms.gle/Q3DJUCwYLyXcmJ1J8

A question of finding unknown constants in an identity:

https://www.geogebra.org/classic/dwexumgy

Google form : F.2 Mathematics Exercise (2020-10-12) Level 2

https://forms.gle/EWrgqStirU2MWrEo8

F.1

same set of 3 info but not congruent
https://www.geogebra.org/geometry/tvz8pyyz

ASS
https://www.geogebra.org/classic/dnr33znt

Similar polygons
https://www.geogebra.org/classic/wxrpsyg5

similar triangles scale factor 2
https://www.geogebra.org/classic/phaffhtp

F.6 M2 vector product
Introduction
https://www.geogebra.org/m/RrDv9Wea
DC Motor
https://www.geogebra.org/m/PN2YrxBb
Generator
aadcdb2cb4d5bce2fb8140d35e71db0a5c435ad493e4a0.00205848SCEN10054238

e.g. 15.15
https://www.geogebra.org/3d/yw4smzan

Distance between skew lines
https://www.geogebra.org/3d/wk2amnwu

FEG智能车比赛训练中
https://www.bilibili.com/video/av26685544/

喜报:智能车战队在深圳市中小学电脑机器人活动中的FEG智能车比赛中拔得头筹
https://www.jianshu.com/p/fad6226b0b39

辰希教育一站式STEAM教育服务供应商
http://cxsteam.com/pd.jsp?id=72

中學生自製電動車 憑創意在競賽決一高下
https://stem.ust.hk/zh/%E4%B8%AD%E5%AD%B8%E7%94%9F%E8%87%AA%E8%A3%BD%E9%9B%BB%E5%8B%95%E8%BB%8A-%E6%86%91%E5%89%B5%E6%84%8F%E5%9C%A8%E7%AB%B6%E8%B3%BD%E6%B1%BA%E4%B8%80%E9%AB%98%E4%B8%8B/

英國STEM比賽首次登錄香港
https://www.educatorshk.com/?p=6780

瑪神60校慶STEM比賽
http://sciencecontest.mfs1.edu.hk/support.htm

政府統計處(Census and Statistics Department)
https://www.censtatd.gov.hk/home/index_tc.jsp

表E012:按性別、年齡組別、教育程度、職業組別及行業主類劃分的僱員每月工資中位數
https://www.censtatd.gov.hk/hkstat/sub/sp210_tc.jsp?productCode=D5250017

Gini coefficient
https://en.wikipedia.org/wiki/Gini_coefficient

Worksheet for F.2 STEM activity
Blood Spatter Activity Handout SFXC

The Geogebra file
https://www.geogebra.org/3d/hqzvp9dw

SFXC-F6-math2-2018-2019-Q.30
https://www.geogebra.org/graphing/vqd6qg6c

Blood Stain Analysis
https://youtu.be/3jFKZaSeNjg

Formation of a Bloodstain Ellipse
https://youtu.be/M1TzSkrS2YM

Impact Angle Affects Elongation
https://youtu.be/8BaJwG94jQg

Area of convergence
https://www.geogebra.org/m/u7mjuv5j

https://www.geogebra.org/3d/vmvf9g3x

SFXC F.6A Core Mathematics (Sum of Geometric Sequence)
https://youtu.be/byk3pA1GPgU

https://kknews.cc/zh-hk/history/lpol5ob.html

https://en.wikipedia.org/wiki/Wheat_and_chessboard_problem

SFXC F.6A Core Mathematics (Geometric sequence)
Paper folding World Record
https://youtu.be/ZQ0QWn7Z-IQ

SFXC F.3A Mathematics Post Project Workshop (2018-05-15)
Burger box design: McBike
https://www.youtube.com/watch?v=l_Z4QB_M1ws

f5-core-mathematics-classwork-ch09

2017-04-24-5C

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

GeoGebra Institute of Hong Kong
http://www.geogebra.org.hk/materials/ks4/mss

Trigonometric Identities (johnmayhk)
https://www.geogebra.org/m/y93sHms9

Note:
johnmayhk-trigonometric-identities

Trigonometric Identities: demonstration
f4-core-mathematics-trigonometric-identities

Common mistakes
johnmayhk-common-mistakes

Trigonometric Identities (Tim Brzezinski)
https://www.geogebra.org/m/DxAcj8E2

https://johnmayhk.wordpress.com/2013/08/30/sine-like-curve/

https://johnmayhk.wordpress.com/2013/03/27/fs-gif/

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

In-centre
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

Kahoot: Special lines and centres of triangles
https://play.kahoot.it/#/k/b2654fb0-88a0-458e-8d38-16cbf5319ff0

kahoot

On H, G, O
https://www.geogebra.org/m/b4rvhRJP

20106357_10155108314688231_1391748895357312040_n

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

Is it a condition for parallelogram?
https://www.geogebra.org/m/kHFgJV9h

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

Kahoot: Intercept Theorem
https://play.kahoot.it/#/?quizId=26fed893-90e7-47ef-a3b5-05c61d95e135

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

Quiz 6 Q.11
https://www.geogebra.org/graphing/vw9mfgbf

(ETV) More about 3-Dimensional figures
https://www.hkedcity.net/etv/resource/46578071

(ETV) 續立體圖形
https://www.hkedcity.net/etv/resource/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

Arthur page about 3D figures
https://www.geogebra.org/m/MXNBQqun

Game: Nets of cube (with animation)

http://illuminations.nctm.org/Activity.aspx?id=3544

Game: Nets of cube

http://gwydir.demon.co.uk/jo/solid/cube.htm

Game: Nets of different 3-d figures (Chinese)

http://wlts.edb.hkedcity.net/filemanager/file/mathematics/tc/ks3/ks3ms83/KS3-MS8-3-f3/KS3-MS8-3-f3-1/KS3-MS8-3-f3-1.swf

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

Angle between line & plane

https://www.geogebra.org/m/H5tuAwuG?fbclid=IwAR1ipwgkvTN12k-LPYOxjhxw8S3qGM6QlgxlmbT1TbrRs7H7VHmJ22Shx38

Angles between line and planes in a cuboid

https://www.geogebra.org/m/t3uDhX42?fbclid=IwAR2jFQxD9r3qmLXgWZFJSy4862kFyS3kbWLANcgwpA9ep9yBCZiUzTzEO9Q

Angle between 2 planes

https://www.geogebra.org/m/s3DDh8kW?fbclid=IwAR2YMHATCNCDZ0jqpuBZUTvHMEVF3Z_mW90N2AWTvhmLwdNcfIge1WiVpT8

Angles in pyramid

https://www.geogebra.org/m/ZPXsHa2S

Proof of Euler’s formula
https://youtu.be/2UVeB39DVgE

Volume of pyramid
verification by cube
https://www.geogebra.org/m/twBkK5dR

3 pyramids of same volume form a triangular prism
https://tube.geogebra.org/m/2667735

祖暅原理
https://www.geogebra.org/m/N7n6msNB
https://zh.wikipedia.org/wiki/%E7%A5%96%E6%9A%85%E5%8E%9F%E7%90%86

3 pyramids of same volume forms a triangular prism (better version for explanation)
https://www.geogebra.org/m/wASx27HR

John Ng math talk on 2007-05-15
http://www.hkedcity.net/ihouse_tools/forum/read.phtml?forum_id=27877&current_page=&i=1228562&t=1228561

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
https://www.facebook.com/qedmathblog/photos/pb.442456475848253.-2207520000.1461259292./974458369314725/?type=3&theater

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

A Countryside Map

Contour lines: Augmented Reality Sandbox

https://youtu.be/bA4uvkAStPc

F.4 M1/M2

Introduction to derivative
https://www.geogebra.org/graphing/xe3uurju

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
https://youtu.be/XMriWTvPXHI

F.4 Core Math

Quadratic : If x^2+x+k > 0 for any value of x what is k?
https://www.geogebra.org/m/snndwft3

Exponential graph
https://www.geogebra.org/m/kfshKMdv

續三角
https://www.hkedcity.net/etv/resource/348070692

F.5 Core Math

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

Hint to Q.3 of Ex. (2017-11-01)
https://www.geogebra.org/m/c4JqW8KT

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. (old)
https://www.geogebra.org/m/Tyb7RYsJ

Exploration task: angle in alternate segment
https://www.geogebra.org/m/CTaVV4KH

Angle in alternate segment
https://www.geogebra.org/m/t9RtXwjM

Kahoot: Angle in alternate segment
https://play.kahoot.it/#/k/64fafda7-94e6-4c8d-8fce-a07af7be389a

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
https://www.desmos.com/calculator/agloye63gt
https://www.desmos.com/calculator/uqnljxyri7

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

Ch.3 Locus

Spirograph 萬花尺

https://www.instagram.com/p/BbsoLDnAJqX/

Spirograph machine

http://www.thisiscolossal.com/2016/05/duograph-drawing-machine/

Spirograph Online (work on PC)
http://nathanfriend.io/inspirograph/

The Pentagram of Venus

https://johncarlosbaez.wordpress.com/2014/01/04/the-pentagram-of-venus/

P.4 fixed distance from a line
https://www.geogebra.org/m/KV8Fj6Du

P.4 equidistant from two points
https://www.geogebra.org/m/dKT7TwSC

P.5 eqidistant from two lines
https://www.geogebra.org/m/nUmG434Q

P.10 Q.4
https://www.geogebra.org/m/kzgSBD8a

P.10 Q.7
https://www.geogebra.org/m/XWbpqpBH

P.11 Q.10
https://www.geogebra.org/m/pGgX8kmb

P.11 Q.11
https://www.geogebra.org/m/aDEjMQ5T

RE3#1
https://www.geogebra.org/m/XSrzDTzA

RE3#4
https://www.geogebra.org/m/UXjkc4HU

RE3#11
https://www.geogebra.org/m/UY3GHpqW

RE3#13
https://www.geogebra.org/m/yUD7Sq4G

Wheel along horizontal ground
https://www.geogebra.org/m/mAqvA9Hw

q5-8
https://www.geogebra.org/m/huAmqCty

q5-9
https://www.geogebra.org/m/kZBvmYFs

q5-10
https://www.geogebra.org/m/BSS2Qdf6

q5-11
https://www.geogebra.org/m/Y2HnAFjY

Ch.8 Linear Programming

01

https://www.geogebra.org/m/uPNy2VCD

02

https://www.geogebra.org/m/QfEpzwgn

03

https://www.geogebra.org/m/V7WqNVY7

04

https://www.geogebra.org/m/XtzRu2Rz

More about graph: Domain and Range
https://www.geogebra.org/m/tCfZmVbt

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
https://dl.dropboxusercontent.com/u/19150457/SFXC/2016CORE-1.pdf
https://dl.dropboxusercontent.com/u/19150457/SFXC/2016CORE-1-marking.pdf
https://dl.dropboxusercontent.com/u/19150457/SFXC/2016CORE-2.pdf
https://dl.dropboxusercontent.com/u/19150457/SFXC/2016M1.pdf
https://dl.dropboxusercontent.com/u/19150457/SFXC/2016M1-marking.pdf
https://dl.dropboxusercontent.com/u/19150457/SFXC/2016M2.pdf
https://dl.dropboxusercontent.com/u/19150457/SFXC/2016M2-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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