A Few Suggestions for Extension Work for Extension math classes

• More difficult problems in daily problem sets
• Supplementary text-books, worksheets (photocopies)
• Exeter books   http://www.cimt.plymouth.ac.uk/projects/mepres/allgcse/allgcse.htm   
• Phillips Exeter Academy - question based curriculum   http://math.exeter.edu/dept/materials/
• Extra "learn on your own" lessons, e.g. http://www.sosmath.com/algebra/algebra.html   

• Extra Topics
• Fitting points with polynomial function    http://allyourtech.com/content/articles/21_03_2004_curve_fitting_with_a_spreadsheet.php  
• Diophantine equations (inteeger roots of ax + by = c)       http://www25.brinkster.com/ranmath/diophan/index.htm   
• Tesselations      http://www.shodor.org/interactivate/activities/tessellate/index.html   
• Geometric proofs
• History of mathematical symbols    http://members.aol.com/jeff570/mathsym.html  
• Numerical methods (e.g. calculators, computers below)      
• Egyptian fractions (numerator = 1)     http://www.ics.uci.edu/~eppstein/numth/egypt/
• Estimation                http://gpn.unl.edu/guides/rr/119math.pdf
• Chaos, Fractals        http://classes.yale.edu/fractals/Labs/Labs.html  
• Magic Squares        http://www.magic-squares.de/general/general.html  
• Wonders of Maths    http://www.math.com/students/wonders.html
  

• Investigation/Application/Projects  
• NCTM Illuminations    http://illuminations.nctm.org/  
• Math Projects Worksheets    http://www.mathprojects.com/projectbook/samples.asp
• Measuring buildings, lakes, etc
• Simulations, physical experiments
  
• Interactive computer tools   http://www.cut-the-knot.org/games.shtml  
   http://www.fi.uu.nl/toepassingen/00213/toepassing_wisweb.en.html    
  Gizmos   http://www.explorelearning.com/index.cfm?method=cResource.dspResourceCatalog

• Competition
• Maths team problems
• speed tests (mental arithmetic)
     
• Puzzles
• Classic puzzles - http://mathforum.org/dr.math/faq/faq.classic.problems.html
• Daily/weekly puzzles      http://www.nrich.maths.org.uk/mathsf/journalf/rb_problems.htm  
• Cambridge nRich puzzles/games   http://www.nrich.maths.org/public/index.php  
• Games & Puzzles  http://www.ability.org.uk/games.html  

• Calculators   
• Using your GDC (starting)    http://www.unsw.adfa.edu.au/pems/news/high_school/CStutweb.pdf  
• GDC Activities             http://www.unsw.adfa.edu.au/pems/news/high_school/hsc_activities.html  
  
• Programming GDC       http://www.ex-parrot.com/~tom/calcs/calcs/encyc/index.html  
                                     http://www.charliewatson.com/casio/casprog.html  
• Online specialist calculators     http://www.math.com/students/tools.html   
     
• Computer-based
• on-line practice       http://www.lialalgebra.com/   
• interactive demos  
    http://www.cimt.plymouth.ac.uk/projects/mepres/book8/book8int.htm   
    http://www.cut-the-knot.org/index.shtml  , e.g. http://www.cut-the-knot.org/blue/EuclidAlg.shtml
    http://www.cut-the-knot.org/Curriculum/index.shtml  e.g. 3-Jugs http://www.cut-the-knot.org/Curriculum/Arithmetic/3Jugs.shtml
    Shodor Interactive   http://www.shodor.org/interactivate/    
• online tools -
• graphing      http://www.webgraphing.com/       http://www.mathscribe.com/     http://www.mathsnet.net/graphs/curves.html
• geometry     http://www.mathsnet.net/geometry/index.html          http://www.keymath.com/DG/dynamic/index.html  
                       http://www.mathsnet.net/dynamic/javasketchpad.html   (includes Bearings)
• CAS (computer algebra system)  http://www.matheclipse.org/me/     http://www.sai.msu.su/sal/A/1/   
• Free Software (to download and run locally)
• Graphing Functions     http://www.graphmatica.com/      http://www.graphcalc.com/  
• Geometry        http://www.mit.edu/~ibaran/kseg.html      http://membres.lycos.fr/animgallerie/euclide/  
• CAS           http://eigenmath.sourceforge.net/     http://www.mathgym.com.au/MIC/eigenman.htm   

• Various Web-Links
• Mathematics Institute   http://www.cambridgecollege.edu/math/resources.cfm
• Math.com (lots of calculators, sample problems)      http://www.math.com
• Cut-the-knot (puzzles, investigations, games)     http://www.cut-the-knot.com
• Cornell Math Gateway   http://www.tc.cornell.edu/Services/Education/Gateways/Math_and_Science/mathematics.htm  
• Math Archives    http://archives.math.utk.edu/  
• Purple Math (Lessons)   http://www.purplemath.com/  
• NCTM Journals   http://my.nctm.org/eresources/school_level.asp?lv=3  
• Extra lessons    http://www.sosmath.com/
• Middle School Math Games    http://www.counton.org/   
• Think Quest      http://www.thinkquest.org/library/cat_show.html?cat_id=9  
• Notes    http://www.sparknotes.com/math/  
• Links to Simulations     http://www.techtrekers.com/sim.htm   
• Lots of links  http://www.awesomelibrary.org/Classroom/Mathematics/Middle-High_School_Math/Middle-High_School_Math.html
• ScienceU    http://www.scienceu.com/geometry/  
• Resource Links   http://www.homeschoolmath.net/math_resources_4.php#graphing
• Algebra I Textbook online  http://www.jamesbrennan.org/algebra/
• Lots of free e-books    http://www.xpmath.com/ebooks/math.php#mathebook10  
• A Passion for Mathematics (Pickover)   http://www.xpmath.com/ebooks/files/passionformath.pdf  
• Free Worksheets    http://www.kutasoftware.com/free.html   
• Interactive Tests    http://www.univie.ac.at/future.media/moe/tests.html
• Live Math    http://www.aamt.edu.au/archives/livemath/live.htm  
• GCSE Review Notes (comprehensive)   http://www.xpmath.com/ebooks/files/irgcsemath.pdf  
• Geometer Sketchpad Activities    http://www.keypress.com/sketchpad/general_resources/classroom_activities/index.php#exp_alg
  
  
• Further Education
• Online Math Degrees  www.onlinemathdegrees.org