# Quod Erat Demonstrandum

### In class

F.1

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

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/

http://cxsteam.com/pd.jsp?id=72

http://sciencecontest.mfs1.edu.hk/support.htm

https://www.censtatd.gov.hk/home/index_tc.jsp

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

Formation of a Bloodstain Ellipse

Impact Angle Affects Elongation

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://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

SFXC F.3A Mathematics Post Project Workshop (2018-05-15)
Burger box design: McBike

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

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

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

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

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

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

https://www.hkedcity.net/etv/resource/46578071

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

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

Proof of Euler’s formula

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

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

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/

In Hong Kong : On street

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

In Hong Kong : In SFXC

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

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

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

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

https://www.geogebra.org/m/xM7QuddD

https://www.geogebra.org/m/BnGtmdV2

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

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

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

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

P.11 Q.11

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

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

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

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

Fun