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
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
Proof 2
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
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
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
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
On H, G, O
https://www.geogebra.org/m/b4rvhRJP
作圖題
http://www.hkedcity.net/ihouse_tools/forum/read.phtml?forum_id=27877¤t_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)
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
Angles between line and planes in a cuboid
Angle between 2 planes
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¤t_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
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
Road 2
In Hong Kong : On street
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
In Hong Kong : Barrier Free Access (無障礙設計)
A Countryside Map
Contour lines: Augmented Reality Sandbox
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\
http://tube.geogebra.org/student/m1163283
Differentiation\
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 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/
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