[sci] math and science activity integrated
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Math & Sci Activities
Summer 2003
July 2, 2003
Handouts
1. Calendar Problems: February 2003 (Mathematics Teacher, February 2003)2. BRAINTEASERS Just for the fun of it! (Quantum, May/June 1994)
References:
1. Search for the biggest numeric palindrome
http://www.floot.demon.co.uk/palindromes.html
2. Public Key Cryptography
http://www.ex.ac.uk/cimt/topics/art003.pdf
3. A Miscellany of Extracts from a Dictionary of Mathematics
http://www.ex.ac.uk/cimt/topics/art002.pdf
Search software:http://www.copernic.com/en/index.html
go to Download Copernic Basic Agent FREE
July 4, 2003
Handouts
3. Calendar Problems: February 2003 (Mathematics Teacher, Math 2003)4. BRAINTEASERS Just for the fun of it! (Quantum, November/December 1993)
References:1. Popular Science
http://www.popsci.com/popsci/home/0,12510,,00.html
2. Zephyrus an interactive science education webpage
http://www.zephyrus.co.uk/index.html3. Mathpuzzle.com
http://mathpuzzle.com/
4. Project guidelineshttp://www.scifair.org/index.shtml
Task 1:
1. Go to http://mathpuzzle.com/ and choose one of the puzzles.2. Try your best to do it.
3. Bring your solution or your works next time and tell your friends how you work it
out or how you cant get the solution.4. We shall discuss it in the next meeting (Wednesday, Jul 9).
Task 2:1. Visithttp://www.popsci.com/popsci/home/0,12510,,00.html and choose one article
http://www.floot.demon.co.uk/palindromes.htmlhttp://www.ex.ac.uk/cimt/topics/art003.pdfhttp://www.ex.ac.uk/cimt/topics/art002.pdfhttp://www.copernic.com/en/index.htmlhttp://www.popsci.com/popsci/home/0,12510,,00.htmlhttp://www.zephyrus.co.uk/index.htmlhttp://mathpuzzle.com/http://www.scifair.org/index.shtmlhttp://mathpuzzle.com/http://www.popsci.com/popsci/home/0,12510,,00.htmlhttp://www.popsci.com/popsci/home/0,12510,,00.htmlhttp://www.floot.demon.co.uk/palindromes.htmlhttp://www.ex.ac.uk/cimt/topics/art003.pdfhttp://www.ex.ac.uk/cimt/topics/art002.pdfhttp://www.copernic.com/en/index.htmlhttp://www.popsci.com/popsci/home/0,12510,,00.htmlhttp://www.zephyrus.co.uk/index.htmlhttp://mathpuzzle.com/http://www.scifair.org/index.shtmlhttp://mathpuzzle.com/http://www.popsci.com/popsci/home/0,12510,,00.html -
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that you find interesting and want to share with your classmates.
2. Read the article and extract the key points of the content.
3. Present the key points in PowerPoint presentation or . to your friends on nextFriday. (Diagrams/images/charts/drawings are helpful in explaining ideas)
July 9, 2003Handouts
5. Calendar Problems: January 2003 (Mathematics Teacher, Jan 2003)
References:
1. http://www.nrich.maths.org.uk/mathsf/journalf/jul03/problems.html
Next MeetingDate: July 11, 2003 (Friday)
Time: 9:30 am 11:00 am
Place: Room 223
July 11, 2003
Handouts
6. ()
References:
Battery and Fruit battery2. ~~ http://hk.geocities.com/csss4j/00.htm3. Fruit battery (images) http://www.pwest.bravepages.com/frbat.htm
4. Lee Sirs Chemistry page http://lpl.hkcampus.net/~lpl-chem/
Some mathematics websites5. http://www.nrich.maths.org.uk/topic_tree/index.html
6. http://mathworld.wolfram.com/
July 15, 2003
Handouts
7. Calendar Problems: December 2002 (Mathematics Teacher, Dec 2002)
References:
Proof of Pythagoras Theorem1. You can drag the figures to prove the Pythagoras Theorem
http://www.phy.ntnu.edu.tw/java/OTHERS/pythagoras2/2. Go to Pythagoras Theorem in
http://www.ktgss.edu.hk/Teacher/MissLauYuenSheung/3. Study the following web page and find out how the Pythagoras Theorem was proved
by areas of triangles.
http://sunsite.ubc.ca/LivingMathematics/V001N01/UBCExamples/Pythagoras/pythagoras.html
4. http://www.cinderella.de/en/demo/gallery/pythagoras.html
http://www.nrich.maths.org.uk/mathsf/journalf/jul03/problems.htmlhttp://hk.geocities.com/csss4j/00.htmhttp://www.pwest.bravepages.com/frbat.htmhttp://lpl.hkcampus.net/~lpl-chem/http://www.nrich.maths.org.uk/topic_tree/index.htmlhttp://www.nrich.maths.org.uk/topic_tree/index.htmlhttp://mathworld.wolfram.com/http://www.phy.ntnu.edu.tw/java/OTHERS/pythagoras2/http://www.ktgss.edu.hk/Teacher/MissLauYuenSheung/http://sunsite.ubc.ca/LivingMathematics/V001N01/UBCExamples/Pythagoras/pythagoras.htmlhttp://sunsite.ubc.ca/LivingMathematics/V001N01/UBCExamples/Pythagoras/pythagoras.htmlhttp://www.cinderella.de/en/demo/gallery/pythagoras.htmlhttp://www.nrich.maths.org.uk/mathsf/journalf/jul03/problems.htmlhttp://hk.geocities.com/csss4j/00.htmhttp://www.pwest.bravepages.com/frbat.htmhttp://lpl.hkcampus.net/~lpl-chem/http://www.nrich.maths.org.uk/topic_tree/index.htmlhttp://mathworld.wolfram.com/http://www.phy.ntnu.edu.tw/java/OTHERS/pythagoras2/http://www.ktgss.edu.hk/Teacher/MissLauYuenSheung/http://sunsite.ubc.ca/LivingMathematics/V001N01/UBCExamples/Pythagoras/pythagoras.htmlhttp://sunsite.ubc.ca/LivingMathematics/V001N01/UBCExamples/Pythagoras/pythagoras.htmlhttp://www.cinderella.de/en/demo/gallery/pythagoras.html -
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About Pythagoras
Bibliographyhttp://ancienthistory.about.com/gi/dynamic/offsite.htm?site=http://www%2Dgroups.dcs.s
t%2Dand.ac.uk:80/%7Ehistory/Mathematicians/Pythagoras.html
July 18, 2003
Handouts
8. Calendar Problems: January 2001 (Mathematics Teacher, Jan 2001)
References:
1. There are other resources of fruit battery
a) Lemon Batteryhttp://pbskids.org/zoom/sci/lemonbatteryii.html
b) Fruit Battery
http://www.slb.com/seed/en/lab/fruit/
2. How to write a lab report
http://www.lni.net/bchelp/frp/lab_report.htm
3. You may find answers to some of your question in science:
How stuff work? http://science.howstuffworks.com/
4. A very interesting website about science of cooking
http://www.exploratorium.edu/cooking/
July 21, 2003
Task
You are going to work with your group (3 to 4 students) to do a science experimentalproject. The project can be something that you observe in your daily life and you are
interested to find out why it happens, or you want to know how things work.
(Date of completion will be discussed on this Friday, July 25)
Discussion
Discuss with your group members: To choose a project that your group is interested and is workable in the lab. or at
home;
To elect a group leader; To divide the workload among members; To plan the experiment;
To set up the time line of the project.
One Page Proposal
Once your group has decided on the project, write a one-page proposal that includes: The title of the project A very briefdescription of your thoughts about the project and of the work that
http://ancienthistory.about.com/gi/dynamic/offsite.htm?site=http://www-groups.dcs.st-and.ac.uk:80/~history/Mathematicians/Pythagoras.htmlhttp://ancienthistory.about.com/gi/dynamic/offsite.htm?site=http://www-groups.dcs.st-and.ac.uk:80/~history/Mathematicians/Pythagoras.htmlhttp://pbskids.org/zoom/sci/lemonbatteryii.htmlhttp://www.slb.com/seed/en/lab/fruit/http://www.lni.net/bchelp/frp/lab_report.htmhttp://science.howstuffworks.com/http://www.exploratorium.edu/cooking/http://ancienthistory.about.com/gi/dynamic/offsite.htm?site=http://www-groups.dcs.st-and.ac.uk:80/~history/Mathematicians/Pythagoras.htmlhttp://ancienthistory.about.com/gi/dynamic/offsite.htm?site=http://www-groups.dcs.st-and.ac.uk:80/~history/Mathematicians/Pythagoras.htmlhttp://pbskids.org/zoom/sci/lemonbatteryii.htmlhttp://www.slb.com/seed/en/lab/fruit/http://www.lni.net/bchelp/frp/lab_report.htmhttp://science.howstuffworks.com/http://www.exploratorium.edu/cooking/ -
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your intend to carry out
A full list of apparatus and materials needed (use what we have in the lab. or you can
get easily) Results that you expected
A time line of the project
(Best to be handed before Aug 1, Friday through email to [email protected])
Project Diary
Keep a diary of your project. You should not trust yourself to remember facts and details.Record everything in your diary and use it as an information store for writing your report.
You can even write personal comments about how your project is going and what your
progress is like.
References:
5. You can almost find all information and resource about science projects in
http://school.discovery.com/sciencefaircentral/scifairstudio/
6. You must read:
Scientific Method
1 A detail descriptionhttp://school.discovery.com/sciencefaircentral/scifairstudio/handbook/scientific
method.html
2 An introductory level guide to experimental science projectshttp://www.isd77.k12.mn.us/resources/cf/SciProjIntro.html
7. Other useful websites
1 Scifair.org: The ultimate science fair resource
http://www.scifair.org/index.shtml2 Cyber-Fair http://www.isd77.k12.mn.us/resources/cf/
8. Samples
http://www.isd77.k12.mn.us/resources/cf/ExmSciProj.html
http://www.isd77.k12.mn.us/resources/cf/batteries.html
9. Some ideas
http://www.scifair.org/ideas/index.shtmlhttp://www.energyquest.ca.gov/projects/index.html#chemical
July 25, 2003References:
1. Have you heard of nanometer? Here is a webpage about the metric prefix:
http://chemistry.berkeley.edu/links/weights/metric.html
2. The molecule of waterhttp://www.johnkyrk.com/H2O.html
Aug 1, 2003
mailto:[email protected]://school.discovery.com/sciencefaircentral/scifairstudio/http://school.discovery.com/sciencefaircentral/scifairstudio/handbook/scientificmethod.htmlhttp://school.discovery.com/sciencefaircentral/scifairstudio/handbook/scientificmethod.htmlhttp://www.isd77.k12.mn.us/resources/cf/SciProjIntro.htmlhttp://www.scifair.org/index.shtmlhttp://www.isd77.k12.mn.us/resources/cf/http://www.isd77.k12.mn.us/resources/cf/ExmSciProj.htmlhttp://www.isd77.k12.mn.us/resources/cf/batteries.htmlhttp://www.scifair.org/ideas/index.shtmlhttp://www.energyquest.ca.gov/projects/index.html#chemicalhttp://chemistry.berkeley.edu/links/weights/metric.htmlhttp://www.johnkyrk.com/H2O.htmlmailto:[email protected]://school.discovery.com/sciencefaircentral/scifairstudio/http://school.discovery.com/sciencefaircentral/scifairstudio/handbook/scientificmethod.htmlhttp://school.discovery.com/sciencefaircentral/scifairstudio/handbook/scientificmethod.htmlhttp://www.isd77.k12.mn.us/resources/cf/SciProjIntro.htmlhttp://www.scifair.org/index.shtmlhttp://www.isd77.k12.mn.us/resources/cf/http://www.isd77.k12.mn.us/resources/cf/ExmSciProj.htmlhttp://www.isd77.k12.mn.us/resources/cf/batteries.htmlhttp://www.scifair.org/ideas/index.shtmlhttp://www.energyquest.ca.gov/projects/index.html#chemicalhttp://chemistry.berkeley.edu/links/weights/metric.htmlhttp://www.johnkyrk.com/H2O.html -
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Readings
News about the Pygmy Sperm Whale in Chinese newspaper
http://search.hk.yahoo.com/search/nws?p=%A9%D9%AD%BB%C4H&s=-ut
References:
1. Pygmy Sperm Whalehttp://stmail.tajen.edu.tw/~e9008218/contents12.htmhttp://debut.cis.nctu.edu.tw/~yklee/NetZoo/Whale/pygmy1.htm
http://www.sci.tamucc.edu/tmmsn/29Species/pygmyspermwhale.html
Aug 5, 2003
Activity:
1. We had visited the following website and worked out the sum of infinite serieshttp://math.rice.edu/~lanius/Lessons/Series/infinite.htm
a) Read and explore each page;
b) Find out the meanings of infinity and infinite series;
c) Read more about infinite series in the webpage and learn about Zenos Paradox:http://mathforum.org/isaac/problems/zeno1.html
d) You can get an explanation in
http://www.shu.edu/projects/reals/numser/answers/zeno.html
Task:
1. Read the news about the Pygmy Sperm Whale and write a report about the fate ofthe beached whale. (refer to the websites in Aug 1 attachment)
References:
1. Translation: you can use this tool to translate the language of a website from
English to Chinese.http://babelfish.altavista.com/
2. In this website, you can travel through several virtual exhibits to learn about
technologies based on electricity and magnetism. Each exhibit includesexplanations of how things work, historical and biographical information, and
links to other resources. Exhibits cover Women and Technology, Thomas A.
Edison, and microwaves, but you'll want to start with Socket to Me, a brief
history of electricity.http://www.ieee-virtual-museum.org/index.php
Aug 8, 2003
Activity:1. Movie and quiz on Scientific Method in www.brainPOP.com
2. Online exercise of uses and operation guide of apparatushttp://resources.ed.gov.hk/chemistry/chusan/english/sy.htm#
3. Laboratory safety by City University
http://www.cityu.edu.hk/secondary_school_safety/
Task
http://search.hk.yahoo.com/search/nws?p=%A9?%BB%C4H&s=-uthttp://stmail.tajen.edu.tw/~e9008218/contents12.htmhttp://debut.cis.nctu.edu.tw/~yklee/NetZoo/Whale/pygmy1.htmhttp://www.sci.tamucc.edu/tmmsn/29Species/pygmyspermwhale.htmlhttp://math.rice.edu/~lanius/Lessons/Series/infinite.htmhttp://mathforum.org/isaac/problems/zeno1.htmlhttp://www.shu.edu/projects/reals/numser/answers/zeno.htmlhttp://babelfish.altavista.com/http://www.ieee-virtual-museum.org/index.phphttp://www.brainpop.com/http://www.brainpop.com/http://resources.ed.gov.hk/chemistry/chusan/english/sy.htm#http://www.cityu.edu.hk/secondary_school_safety/http://search.hk.yahoo.com/search/nws?p=%A9?%BB%C4H&s=-uthttp://stmail.tajen.edu.tw/~e9008218/contents12.htmhttp://debut.cis.nctu.edu.tw/~yklee/NetZoo/Whale/pygmy1.htmhttp://www.sci.tamucc.edu/tmmsn/29Species/pygmyspermwhale.htmlhttp://math.rice.edu/~lanius/Lessons/Series/infinite.htmhttp://mathforum.org/isaac/problems/zeno1.htmlhttp://www.shu.edu/projects/reals/numser/answers/zeno.htmlhttp://babelfish.altavista.com/http://www.ieee-virtual-museum.org/index.phphttp://www.brainpop.com/http://resources.ed.gov.hk/chemistry/chusan/english/sy.htm#http://www.cityu.edu.hk/secondary_school_safety/ -
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We are going to build a bridge across a gap of about 30 cm. The following about buildingof a bridge will be discussed:
a) materials,
b) dimensions, and
c) the marking scheme.
Reference:1. How a bridge work
http://www.howstuffworks.com/bridge.htm/printable
2. Building BIG Bridgeshttp://www.pbs.org/wgbh/buildingbig/bridge/index.html
News:
1. The first cloning horse created in Italyhttp://www.washingtonpost.com/wp-dyn/articles/A25717-2003Aug6.html
References:
1 Online exercises on each chapter of I.S. and much more .http://www.naturalking.net/
2 Laboratory policy and techniques by Seattle Central Community Collegehttp://www.seattlecentral.org/faculty/ptran/policy.html
3 http://kids.discovery.com/
4 Websites on Forensic Science
http://www.lcsd.gov.hk/CE/Museum/Science/temp-exh/whodunit/forensic.htm5 The Sciencetunnel
http://www.lcsd.gov.hk/CE/Museum/Science/temp-exh/scitunnel/eindex.htmResearch perspectives 2000+from the Max-Planck-Society.
http://www.sciencetunnel.com/#http://2000plus.mpg.de/index_eng.html
Aug 12, 2003
Tasks to be done on Aug 14, 2003:
Mathematics Trail:
We are going to work out some problems on the Mathematics Trail 2002 and build up a
new question set of Mathematics Trail 2003 (to be used later).References:3. Mathematics trail 2000 in HKhttp://hlm.hkcampus.net/~hlm-ctw/mathtrail/top.htm
(question set is attached with this email)4. Mathematics trail made by students
http://atschool.eduweb.co.uk/dennington.suffolk/maths_trail/index.htm5. TPJC mathematics trail 1998http://www.moe.edu.sg/maths/oct98/trail.htm
6. Details about mathematics trailhttp://illuminations.nctm.org/imath/across/connections/vmt/vmtIntro.html
Tasks to be done on Aug 24, 2003:
http://www.howstuffworks.com/bridge.htm/printablehttp://www.pbs.org/wgbh/buildingbig/bridge/index.htmlhttp://www.washingtonpost.com/wp-dyn/articles/A25717-2003Aug6.htmlhttp://www.naturalking.net/http://www.seattlecentral.org/faculty/ptran/policy.htmlhttp://kids.discovery.com/http://www.lcsd.gov.hk/CE/Museum/Science/temp-exh/whodunit/forensic.htmhttp://www.lcsd.gov.hk/CE/Museum/Science/temp-exh/scitunnel/eindex.htmhttp://www.lcsd.gov.hk/CE/Museum/Science/temp-exh/scitunnel/eindex.htmhttp://2000plus.mpg.de/http://2000plus.mpg.de/http://www.sciencetunnel.com/#http://2000plus.mpg.de/index_eng.htmlhttp://hlm.hkcampus.net/~hlm-ctw/mathtrail/top.htmhttp://atschool.eduweb.co.uk/dennington.suffolk/maths_trail/index.htmhttp://atschool.eduweb.co.uk/dennington.suffolk/maths_trail/index.htmhttp://www.moe.edu.sg/maths/oct98/trail.htmhttp://www.moe.edu.sg/maths/oct98/trail.htmhttp://illuminations.nctm.org/imath/across/connections/vmt/vmtIntro.htmlhttp://illuminations.nctm.org/imath/across/connections/vmt/vmtIntro.htmlhttp://www.howstuffworks.com/bridge.htm/printablehttp://www.pbs.org/wgbh/buildingbig/bridge/index.htmlhttp://www.washingtonpost.com/wp-dyn/articles/A25717-2003Aug6.htmlhttp://www.naturalking.net/http://www.seattlecentral.org/faculty/ptran/policy.htmlhttp://kids.discovery.com/http://www.lcsd.gov.hk/CE/Museum/Science/temp-exh/whodunit/forensic.htmhttp://www.lcsd.gov.hk/CE/Museum/Science/temp-exh/scitunnel/eindex.htmhttp://www.lcsd.gov.hk/CE/Museum/Science/temp-exh/scitunnel/eindex.htmhttp://2000plus.mpg.de/http://www.sciencetunnel.com/#http://2000plus.mpg.de/index_eng.htmlhttp://hlm.hkcampus.net/~hlm-ctw/mathtrail/top.htmhttp://atschool.eduweb.co.uk/dennington.suffolk/maths_trail/index.htmhttp://www.moe.edu.sg/maths/oct98/trail.htmhttp://illuminations.nctm.org/imath/across/connections/vmt/vmtIntro.html -
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Building a bridge:
We are going to build a bridge (8 cm to 12 cm wide) across a gap of 30 cm. The finished
bridge must be able to support a toy car running across it.
A. Time allowed: 180 minutes
B. Materials: students are only allowed to use no materials other than those listed
belowA4 paper 20 pieces
Drinking straws 20 pieces
Paper clips 20 piecesRubber bands 10 pieces
Glue 1
Staple 1 x 25
Adhesive tape 1 rollC. Scores: to be announced later
D. Reference: refer to the attachment Aug 8, 2003