Strategies and Resources for using Math Applets An applet is a small program that is intended not to be run on its own, but rather to be embedded inside another application, like a website. Different types of applets: Different ways to use them: a) To illustrate a concept a) As a whole class demonstration b) To visualize a property b) As independent work in class c) To complement a manipulative (towards discovery, practice or assessment) d) To practice a procedure/idea c) As cooperative work in class e) To enable discovery (collaboration or competition) f) To assess knowledge d) As homework, after a topic was taught e) As a springboard, before a topic is taught f) As an extra-credit activity Check the computer is updated by visiting: http://java.com/en/download/download_the_latest.jsp San Gabriel Valley CaMP Greisy Winicki-Landman a) To illustrate a concept Least Common Multiple http://www.ies.co.jp/math/java/misc/Baisum/Baisum.html Equivalent fractions - Multiple representations http://illuminations.nctm.org/ActivityDetail.aspx?ID=80 Product of rational numbers - Area model http://nlvm.usu.edu/en/nav/frames_asid_194_g_2_t_1.html Platonic Solids http://illuminations.nctm.org/ActivityDetail.aspx?ID=70 Statistical landmarks: Mean-Median http://illuminations.nctm.org/ActivityDetail.aspx?ID=160 Equations as balancing http://www.fi.uu.nl/toepassingen/00012/student.html http://illuminations.nctm.org/ActivityDetail.aspx?ID=33 (shapes) http://illuminations.nctm.org/ActivityDetail.aspx?id=10 (expressions) area and perimeter http://mathforum.org/workshops/sum98/participants/muenster/index2.html trigonometric functions http://www.walter-fendt.de/m14e/sincostan_e.htm derivative http://www.ies.co.jp/math/java/calc/doukan/doukan.html b) To visualize a property - understand the statement http://www.ies.co.jp/math/java/geo/pythaprob/pythaprob.html http://www.walter-fendt.de/m14e/thalescircle.htm - formulate a conjecture http://www.ies.co.jp/math/java/geo/gaikaku/gaikaku.html http://www.ies.co.jp/math/java/calc/doukan/doukan.html - guide towards a justification http://www.univie.ac.at/future.media/moe/galerie/gleich/gleich.html#quadr1 (QUADRATIC EQ. 1) http://www.cut-the-knot.org/Curriculum/Algebra/GaussSummation.shtml (Sum of consecutive integers) San Gabriel Valley CaMP Greisy Winicki-Landman http://illuminations.nctm.org/ActivityDetail.aspx?ID=30 (Pythagorean Theorem) c) To complement a manipulative Cuisenaire Rods http://www.arcytech.org/java/integers/integers.html Pattern Blocks http://nlvm.usu.edu/en/nav/frames_asid_170_g_2_t_2.html?open=activities&from=grade_g_2.html http://arcytech.org/java/patterns/ Base Ten Blocks http://nlvm.usu.edu/en/nav/frames_asid_152_g_2_t_1.html?from=grade_g_2.html http://arcytech.org/java/b10blocks/ Tangram http://nlvm.usu.edu/en/nav/frames_asid_112_g_2_t_1.html Geoboard http://nlvm.usu.edu/en/nav/frames_asid_170_g_2_t_2.html?open=activities&from=grade_g_2.html Algebra Tiles http://nlvm.usu.edu/en/nav/frames_asid_189_g_2_t_2.html?open=activities&from=grade_g_2.html d) To practice a procedure/idea d.1 Number Sense http://www.cut-the-knot.org/Curriculum/Arithmetic/MakeIdentity/index.shtml - Mental math http://www.fi.uu.nl/toepassingen/00141/student.html - Broken calculator http://www.fi.uu.nl/toepassingen/00014/toepassing_rekenweb.en.html - Equivalent Fractions http://illuminations.nctm.org/ActivityDetail.aspx?ID=11 http://illuminations.nctm.org/ActivityDetail.aspx?ID=18 - Order of fractions http://www.fi.uu.nl/toepassingen/00410/student.html - Fractions, Decimals, Percentages - Matching www.bbc.co.uk/skillswise/numbers/fractiondecimalpercentage/comparing/comparingall3/game.shtml - Integer Numbers http://www.fi.uu.nl/dwo/wismaat/mod1/en/frameset.html San Gabriel Valley CaMP Greisy Winicki-Landman - Factors of a whole number http://www.fi.uu.nl/toepassingen/00022/toepassing_wisweb.en.html http://www.bbc.co.uk/education/mathsfile/shockwave/games/gridgame.html http://illuminations.nctm.org/ActivityDetail.aspx?ID=12 (Factos game) http://www.cut-the-knot.org/SimpleGames/Aliquot.shtml (Game) d.2 Algebra - Slope http://www.ies.co.jp/math/java/geo/staires/staires.html http://www.fi.uu.nl/toepassingen/00065/toepassing_wisweb.en.html http://www.bbc.co.uk/education/mathsfile/shockwave/games/planethop.html - Equations (equivalence) http://www.mathplayground.com/balance_scales.html http://www.univie.ac.at/future.media/moe/galerie/gleich/gleich.html#aequ http://www.bbc.co.uk/education/mathsfile/shockwave/games/equationmatch.html - Properties of functions http://www.univie.ac.at/future.media/moe/tests/fun1/eigensch.html - Recognize graphs http://www.univie.ac.at/future.media/moe/galerie/fun1/fun1.html#pol3 - product of binomials + factoring quadratic trinomial http://www.fi.uu.nl/toepassingen/00217/toepassing_wisweb.en.html - Transformations (coordinate plane) http://www.bbc.co.uk/education/mathsfile/shockwave/games/bathroom.html d.3 Geometry -Estimate angles and length http://illuminations.nctm.org/ActivityDetail.aspx?ID=83 http://pbskids.org/cyberchase/games/perimeterarea/perimeterarea.html http://www.nlvm.usu.edu/en/nav/frames_asid_141_g_2_t_3.html?open=activities&from=category_g_2_t_3.html San Gabriel Valley CaMP Greisy Winicki-Landman e) To enable discovery http://www.walter-fendt.de/m14e/geotransf.htm (Basic Geometric Transformations and their properties) http://www.walter-fendt.de/m14e/triangle.htm (Special points in a triangle; Euler's Line) http://illuminations.nctm.org/ActivityDetail.aspx?ID=28 (Billiard problem) http://www.cut-the-knot.org/SimpleGames/pm.shtml (Strategy game) http://www.cut-the-knot.org/Curriculum/Algebra/Cards.shtml (binary system) http://www.walter-fendt.de/m14e/complnum.htm (Geometric meaning of operation among complex numbers) f) To assess knowledge Addition of rational numbers http://math.rice.edu/~lanius/fractions/prac4.html# Reading a thermometer www.bbc.co.uk/skillswise/numbers/measuring/temperature/quiz.shtml Metric system - conversion of units http://www.walter-fendt.de/m14e/conversion.htm Equivalent Fractions http://www.shodor.org/interactivate/activities/FractionFinder/ Perimeter http://www.bbc.co.uk/skillswise/numbers/measuring/perimeter/quiz.shtml Geometry http://www.shodor.org/interactivate/activities/Angles/ http://www.fi.uu.nl/toepassingen/05051/toepassing_wisweb.en.html Graphs of functions - Multiple choice questions http://www.univie.ac.at/future.media/moe/tests/fun1/eigensch.html San Gabriel Valley CaMP Greisy Winicki-Landman Extra-Curricular but RELEVANT material: http://www.fi.uu.nl/toepassingen/03013/student.html MAZES http://www.fi.uu.nl/toepassingen/00207/toepassing_wisweb.en.html 3-D Visualization http://www.nlvm.usu.edu/en/nav/frames_asid_273_g_2_t_4.html?from=category_g_2_t_4.html (Pouring problems) http://pbskids.org/cyberchase/games/liquidvolume/ BANK OF SOURCES: • http://illuminations.nctm.org/ActivitySEarch.aspx • http://www.nlvm.usu.edu/ • http://arcytech.org/java/ • http://www.ies.co.jp/math/java/index.html • http://www.fi.uu.nl/wisweb/applets/mainframe_en.html • http://www.bbc.co.uk/skillswise/games/ • http://www.bbc.co.uk/education/mathsfile/gameswheel.html • http://www.cut-the-knot.org/games.shtml • http://www.edu.gov.on.ca/eng/studentsuccess/lms/files/GSP/grade8gsp.html (GSP applets) San Gabriel Valley CaMP Greisy Winicki-Landman