Topics Websites Graphs Concepts Time Graphing linear equations: http://www.purplemath.com/modules/graphlin.htm Graphing overview – Straight lines: http://www.purplemath.com/modules/graphing.htm Slope of a straight line, parallel lines, perpendicular lines: http://www.purplemath.com/modules/slope.htm Using slope and y-intercept to graph lines: http://www.purplemath.com/modules/slopgrph.htm The meaning of slope and y-intercept in the context of word problems: http://www.purplemath.com/modules/slopyint.htm Graphing Quadratic functions: http://www.purplemath.com/modules/grphquad.htm Graphing overview – Absolute values, Quadratics: http://www.purplemath.com/modules/graphing2.htm Graphing overview – General polynomials, Radical functions, Rational functions, Piecewise functions: http://www.purplemath.com/modules/graphing3.htm Graph Mole (game): http://funbasedlearning.com/algebra/graphing/points3/ Catch the fly (game): http://hotmath.com/hotmath_help/games/ctf/ctf_hotmath.swf Karappan poochi: http://hotmath.com/hotmath_help/games/kp/Karappan_Poochi_Sound.swf Co-ordinate Geometry (Quiz, created by Teck Kong): http://www.proprofs.com/quizschool/story.php?title=coordinate-geometry_3 Youtube/ video: Video for Lesson 33: Cartesian Coordinate System Intro: http://www.youtube.com/watch?v=tDOt7iwVuDk 3:09 Coordinate plane: http://www.youtube.com/watch?v=HdrCwFNcXGU 3:24 Watch Video on The Coordinate System - Plotting Points: http://www.youtube.com/watch?v=-Hut9QnQlF8 2:56 Gradient: http://www.youtube.com/watch?v=jUC-azOrLNs 8:02 Gradient between two points on straight line graph: http://www.youtube.com/watch?v=ddTAMgWf2JM 3:58 How to calculate slope angle from a map: http://www.youtube.com/watch?v=pLZXHb2QVuM 2:41 Equations of graphs – basic: http://www.youtube.com/watch?v=OOHU0Ei22UE 6:49 Straight line (linear) graphs 1: http://www.youtube.com/watch?v=TDkEJWxSxoc 10:41 Simultaneous Linear Equation How to draw a straight line graph: http://www.youtube.com/watch?v=swX8mq_anY4 6:07 Algebra - Find the Equation of a Line Given Two Points Intuitive Math Help: http://www.youtube.com/watch?v=GFM8NOe_XM4 5:50 Straight Line Equations: http://www.youtube.com/watch?v=bp1Do-wz6xI 4:01 Algebra - Find the Equation of a Line Part 2 of 2 Detailed Intro Intuitive Math Help: http://www.youtube.com/watch?v=0SZ2vw-OP7s 8:01 Concepts Methods: http://www.algebra-help.info/simultaneous-equations.php Methods: http://www.themathpage.com/Alg/simultaneous-equations.htm Examples: http://www.mathsrevision.net/gcse/pages.php?page=3 Quizes: http://quiz.econ.usyd.edu.au/mathquiz/sim-eqns/index.php Youtube/video: Trigonometry Solving Simultaneous Equations by Elimination Example 1: http://www.youtube.com/watch?v=XM7Q4Oj5OTc 2:51 Solving Simultaneous Equations by Substitution Example 1: http://www.youtube.com/watch?v=8ockWpx2KKI 2:01 Solving Simultaneous Equations by Graph: http://www.youtube.com/watch?v=cqBwozd8nu8 3:11 Watch Video on Solving Systems by Graphing - Algebra Help: http://www.youtube.com/watch?v=cuNpXve18Pc 3:49 Concepts: Introductory exercises: Trigonometric Functions: http://math.usask.ca/emr/exercises/trfn_dir/int.html Moderate exercises: Trigonometric Functions: http://math.usask.ca/emr/exercises/trfn_dir/mod.html Advanced exercises: Trigonometric Functions: http://math.usask.ca/emr/exercises/trfn_dir/adv.html Angle of Elevation and Depression: http://www.mathsteacher.com.au/year10/ch15_trigonometry/12_elevation_depressio n/23elevdep.htm Angles of Elevation and Depression, application to real life situations: http://www.math-mate.com/chapter7_9.shtml Trigonometric ratio – naming the sides of a Right-angled triangle: http://www.mathsteacher.com.au/year10/ch15_trigonometry/01_ratios/22sides.htm Finding the side – Sine: http://www.mathsteacher.com.au/year10/ch15_trigonometry/02_side_lengths/22finds ide.htm Finding the side – Cosine: http://www.mathsteacher.com.au/year10/ch15_trigonometry/03_cosine_ratio/22cos.h tm Finding the side – Tangent: http://www.mathsteacher.com.au/year10/ch15_trigonometry/03_cosine_ratio/22cos.h tm Finding the angle – Inverse Sine: http://www.mathsteacher.com.au/year10/ch15_trigonometry/06_finding_angles/22an gles.htm Finding the angle – Inverse Cosine: http://www.mathsteacher.com.au/year10/ch15_trigonometry/07_inverse_cosine/22in vcos.htm Problem solving: http://www.mathsteacher.com.au/year10/ch15_trigonometry/14_problem_solving/23 unit.htm Projects: http://www.mathsteacher.com.au/year10/ch15_trigonometry/15_projects/23proj.htm Trigonometry, Graphic Calculator: http://www.mathsteacher.com.au/year10/ch15_trigonometry/05_graphics_calculator/ 22calc.htm Finding the angle – Inverse Tangent: http://www.mathsteacher.com.au/year10/ch15_trigonometry/08_inverse_tangent/22in vtan.htm Problem Solving: http://www.mathsteacher.com.au/year10/ch15_trigonometry/09_problem_solving/22 prob.htm Composite figures: http://www.mathsteacher.com.au/year10/ch15_trigonometry/10_composite/23comp.h tm Directions and Bearings: http://www.mathsteacher.com.au/year10/ch15_trigonometry/11_directions/23dir.htm 3-Dimensional Problem: http://www.mathsteacher.com.au/year10/ch15_trigonometry/13_three_d/233dprob.ht m Youtube/video: Basic Trigonometry: http://www.youtube.com/watch?v=F21S9Wpi0y8 Algebra Concepts: Factoring quadratic, the simple case: http://www.purplemath.com/modules/factquad.htm 8:44 Factoring quadratics, the hard case: http://www.purplemath.com/modules/factquad2.htm Factoring the quadratics, the hard case (using the box): http://www.purplemath.com/modules/factquad3.htm Factoring the quadratics, the weird case: http://www.purplemath.com/modules/factquad4.htm Symmetry, Similarity and congruency Concepts: Why Beauty is Truth - A short history of symmetry: http://www2.warwick.ac.uk/newsandevents/audio/more/symmetry/ Line Symmetry: http://www.regentsprep.org/Regents/math/geometry/GT1a/Lsymmet.htm Line Symmetry: http://www.linkslearning.org/Kids/1_Math/2_Illustrated_Lessons/4_Line_Symmetry/ index.html Line Symmetry (practice, 5 Qns): http://www.regentsprep.org/Regents/math/geometry/GT1a/PracSym.htm Rotational Symmetry: http://www.regentsprep.org/Regents/math/geometry/GT1a/Rsymmet.htm Rotational symmetry: http://www.bbc.co.uk/schools/gcsebitesize/maths/shapes/symmetryrev3.shtml Rotational Symmetry (practice, 5 Qns): http://www.regentsprep.org/Regents/math/geometry/GT1a/PracRot.htm Point Symmetry: http://www.regentsprep.org/Regents/math/geometry/GT1a/Psymmet.htm Point Symmetry (Practice, 6 Qns): http://www.regentsprep.org/Regents/math/geometry/GT1a/PracPt.htm Plane Symmetry: http://e2bn.skoool.co.uk/content/keystage3/maths/pc/learningsteps/PLSLC/launch.ht ml Reflection in a line: http://www.regentsprep.org/Regents/math/geometry/GT1/reflect.htm Reflection in a line (Practice, 16 Qns): http://www.regentsprep.org/Regents/math/geometry/GT1/Prac1.htm Symmetry (Revise): http://www.bbc.co.uk/schools/gcsebitesize/maths/shapes/symmetryrev1.shtml Symmetry (Activity): http://www.bbc.co.uk/schools/gcsebitesize/maths/shapes/symmetryact.shtml Symmetry (Test): http://www.bbc.co.uk/apps/ifl/schools/gcsebitesize/maths/quizengine?quiz=symmetr y&templateStyle=maths Symmetry (Game): http://www.innovationslearning.co.uk/subjects/maths/activities/year3/symmetry/shap e_game.asp Concept of congruence: http://www.regentsprep.org/Regents/math/geometry/GP4/Lcongruent.htm Congruent Triangles (Examples): http://www.analyzemath.com/Geometry/congruent_triangles.html Geometry: Congruent Triangles: http://www.onlinemathlearning.com/congruenttriangles.html Theorems for congruent triangles: http://www.regentsprep.org/Regents/math/geometry/GP4/Ltriangles.htm Congruence of Geometric figures: http://www.heymath.com/main/samples/sg04/teacherstemplate.html Tips for working with congruent triangles in proof: http://www.regentsprep.org/Regents/math/geometry/GP4/BegTriPrf.htm Numerical Practice with congruence (13 Qns): http://www.regentsprep.org/Regents/math/geometry/GP4/PracCon2.htm Recognising congruent triangles (Practice, 7 Qns): http://www.regentsprep.org/Regents/math/geometry/GP4/Reccontri.htm Why study Proofs: http://www.regentsprep.org/Regents/math/geometry/GPAA/WhyProofs.htm Beginning Congruent Triangles Proof (Practice, 6 Qns): http://www.regentsprep.org/Regents/math/geometry/GP4/preprooftriangles.htm Beginning Congruent Triangle Proofs (Practice): http://regentsprep.org/Regents/mathb/1c/preprooftriangles.htm Proofs involving congruent triangles (Practice, 10 Qns): http://www.regentsprep.org/Regents/math/geometry/GP4/PracCongTri.htm Teacher’s resource, Discovering Why the Methods of Proving Triangles Congruent Work: http://www.regentsprep.org/Regents/math/geometry/GP4/WhyTheorems.htm Teacher’s resource, Creating Congruent Triangles: http://www.regentsprep.org/Regents/math/geometry/GP4/Ttriangles.htm Teacher’s resource, Organizing and Venn Diagrams with Congruent Triangles: http://www.regentsprep.org/Regents/math/geometry/GP4/Tvenn.htm Recap (Introduction to Transformation, includes congruency): http://www.bbc.co.uk/schools/ks3bitesize/maths/shape_space/transformations1/revise 1.shtml Proving congruent right triangles (Hypotnuse Leg Theorem/ RHS): http://www.mathwarehouse.com/geometry/congruent_triangles/hypotenuse-legtheorem.php Congruent Triangles - Hypotenuse Leg Theorem: http://www.onlinemathlearning.com/hypotenuse-leg.html Proving Congruent triangles (SSS): http://www.mathwarehouse.com/geometry/congruent_triangles/side-side-sidepostulate.php Proving Congruent Triangles (SAS): http://www.mathwarehouse.com/geometry/congruent_triangles/side-angle-sidepostulate.php Proving Congruent Triangles (ASA): http://www.mathwarehouse.com/geometry/congruent_triangles/angle-side-anglepostulate.php Proving Congruent Triangles (AAS): http://www.mathwarehouse.com/geometry/congruent_triangles/angle-angle-sidepostulate.php Congruent triangles and triangles relationship (Further Practice): http://education.yahoo.com/homework_help/math_help/problem_list?id=minigeogt_ 4_1 Challenging geometry problem: Congruent triangles: http://www.idealmath.com/geometrychallenge/triangleproblem1.htm Similar triangles (Introduction): http://www.regentsprep.org/Regents/math/geometry/GP11/Lsimilar.htm Similar triangles: http://www.onlinemathlearning.com/similar-triangles.html Similar triangles (examples): http://www.analyzemath.com/Geometry/similar_triangles.html Proofs with Similar triangles: http://www.regentsprep.org/Regents/math/geometry/GP11/LsimilarProof.htm Proving Similar Triangles: http://www.mathwarehouse.com/geometry/similar/triangles/similar-triangletheorems.php Strategies for dealing with similar triangles: http://www.regentsprep.org/Regents/math/geometry/GP11/Lstrategy.htm Practice with similarity numerical problems: http://www.regentsprep.org/Regents/math/geometry/GP11/PracSim.htm Similar Triangles (Quiz): http://www.glencoe.com/sec/math/studytools/cgibin/msgQuiz.php4?isbn=0-02-825326-4&chapter=4&lesson=2 Similarity Proofs (Practice, 8 Qns): http://www.regentsprep.org/Regents/math/geometry/GP11/PracSimPfs.htm Area and similar triangles: http://www.mathwarehouse.com/geometry/similar/triangles/area-similartriangles.php Gongruent and similar shapes (similar shapes): http://www.bbc.co.uk/schools/gcsebitesize/maths/shapes/congruencysimilarityrev1.s html Gongruent and similar shapes (similar triangles): http://www.bbc.co.uk/schools/gcsebitesize/maths/shapes/congruencysimilarityrev2.s html Gongruent and similar shapes (congruent shapes): http://www.bbc.co.uk/schools/gcsebitesize/maths/shapes/congruencysimilarityrev3.s html Gongruent and similar shapes (similar areas and volumes): http://www.bbc.co.uk/schools/gcsebitesize/maths/shapes/congruencysimilarityrev4.s html Congruent and similar shapes (Revise): http://www.bbc.co.uk/schools/gcsebitesize/maths/shapes/congruencysimilarityrev1.s html Congruent and similar shapes (Activity): http://www.bbc.co.uk/schools/gcsebitesize/maths/shapes/congruencysimilarityact.sht ml Similar and congruent shapes (real life examples and questions): http://openlearn.open.ac.uk/mod/resource/view.php?id=328484&direct=1 Scaling areas and volumes (questions): http://openlearn.open.ac.uk/mod/resource/view.php?id=328494 Congruent triangle (Investigation I): http://nlvm.usu.edu/en/nav/frames_asid_165_g_2_t_3.html?open=instructions Congruent triangle (Investigation II, Geometer sketchpad): http://attachments.wetpaintserv.us/bZmy23K2I1WkOoBjURt5VQ%3D%3D2080768 Congruent and similar shapes (Test): http://www.bbc.co.uk/apps/ifl/schools/gcsebitesize/maths/quizengine?quiz=congruen cysimilarity&templateStyle=maths Geometry (Quiz): https://students.open.ac.uk/openmark/mu120.module7/ Introduction to transformation (Quiz): http://www.bbc.co.uk/apps/ifl/schools/ks3bitesize/maths/quizengine?quiz=transform ations1&templateStyle=maths Build a shape with tangrams: http://teams.lacoe.edu/documentation/classrooms/amy/number/56/activities/tangrams/tangrams.html Other examples in real life: http://beeofgoodcheer.wetpaint.com/page/Other+Examples+in+Real+Life Oragami, construct a pinwheel: http://www.opane.com/ufo.html Origami Polyhedra - nuwen.net: http://nuwen.net/poly.html Youtube/ Video: Watch Video from YourTeacher.com - Geometry Resources: http://www.youtube.com/watch?v=Y_XQ25nYNDI 3:25 E8 POLYHEDRA-LEONARDO DAVINCI NEW SECRETS REVEALED CHECK IT OUT: http://www.youtube.com/watch?v=cETE1VyrDrg 5:11 Geometry/ Circles Everything Is Connected To The Golden Ratio Chris MintZ Barf: http://www.youtube.com/watch?v=U2bAlIK4KkE 3:10 Geometry of Life - Part 1: http://www.youtube.com/watch?v=fZT0g6F-Hrg 4:01 Geometry of Life - Part 2: http://www.youtube.com/watch?v=VL2Bf4M4nSk 6:33 Geometry of Life - Part 3: http://www.youtube.com/watch?v=0Lhyxj_09HQ 9:14 Geometry of Life - Part 4: http://www.youtube.com/watch?v=_YvL7sWZWgg 6:23 Geometry (Congruency), The Fingerprint of God: http://www.youtube.com/watch?v=-Ibc8sD5sgw 3:53 Watch Video on Congruent Figures - Geometry Help: http://www.youtube.com/watch?v=CUKDzC5f6B4 2:41 Watch Video on Proving Triangles are Congruent - Math Help: http://www.youtube.com/watch?v=NAhcmPS5k9g 3:34 CA Geometry: More on cogruent and similar triangles: http://www.youtube.com/watch?v=FVSgVMVZZ-4 11:11 Watch video from YourTeacher.com – Geometry resources: http://www.youtube.com/watch?v=Y_XQ25nYNDI 3:25 Watch Video on Proving Triangles are Similar - Geometry Help: http://www.youtube.com/watch?v=3DIqvNjChpY 4:30 Watch Video on Similar Triangles - Geometry Help: http://www.youtube.com/watch?v=s4fr9vC9C5Q 3 Watch Video on Similarity Word Problems - Geometry Help: http://www.youtube.com/watch?v=tm-_6sFdfk8 2:31 Watch Video on Hypotenuse Leg and Angle Angle Side: http://www.youtube.com/watch?v=5ZNAQ5Enx8I 4:01 Watch Video on Similar Figures - Similar Polygons: http://www.youtube.com/watch?v=9IUI3jtSEWU 2:38 Watch Video on Midsegment of a Triangle - Geometry Help: http://www.youtube.com/watch?v=59wiwrcNMuo 2:31 Oragami pinwheel: http://www.youtube.com/watch?v=wKj7hYTV-Kc 6:51 Concepts: Vocabulary: http://www.bbc.co.uk/schools/gcsebitesize/maths/shapes/circles2hirev1.shtml Calculate arc length and area of sectors: http://www.bbc.co.uk/schools/gcsebitesize/maths/shapes/circles2hirev2.shtml Properties of angles in a circle: http://www.coolschool.ca/lor/PMA11/unit6/U06L03.htm Properties of angles in a circle: http://www.learnalberta.ca/content/mejhm/index.html?l=0&ID1=AB.MATH.JR.SHA P&ID2=AB.MATH.JR.SHAP.CIRC&lesson=html/object_interactives/circles/central Angle/index.html Circles (Higher), test: http://www.bbc.co.uk/apps/ifl/schools/gcsebitesize/maths/quizengine?quiz=circles2& templateStyle=maths Angle at centre: http://www.bbc.co.uk/schools/gcsebitesize/maths/shapes/circles2hirev3.shtml Angle in semi-circle: http://www.bbc.co.uk/schools/gcsebitesize/maths/shapes/circles2hirev5.shtml Angles in same segment: http://www.bbc.co.uk/schools/gcsebitesize/maths/shapes/circles2hirev4.shtml Opposite angles in cyclic quadrilateral: http://www.bbc.co.uk/schools/gcsebitesize/maths/shapes/circles2hirev6.shtml Symmetry property of circle, perpendicular from the centre of circle to chord bisects chord: http://www.bbc.co.uk/schools/gcsebitesize/maths/shapes/circles2hirev7.shtml Symmetry property of circle, radius perpendicular to tangent at point of contact to circle: http://www.bbc.co.uk/schools/gcsebitesize/maths/shapes/circles2hirev8.shtml Symmetry property of circle, tangents from a point to the circle are equal: http://www.bbc.co.uk/schools/gcsebitesize/maths/shapes/circles2hirev9.shtml Quiz: http://www.bbc.co.uk/apps/ifl/scotland/education/bitesize/standard/gigaquiz?path=m athsI/pythagoras/circle_angles_test&infile=circle_angles_test Alternate segment theorem: http://www.bbc.co.uk/schools/gcsebitesize/maths/shapes/circles2hirev10.shtml Symmetrical properties of circle, angle properties, cyclic quadrilaterals, problems on angle properties, tangents from external point, alternate angle segment: http://library.thinkquest.org/C0110248/geometry/circlesy.htm Quiz: http://library.thinkquest.org/C0110248/geometry/circlequiz.htm Youtube/ video: Statistics Watch Video from YourTeacher.com - Geometry Concepts: http://www.youtube.com/watch?v=DB3cHPvfrvw 3:11 Geometer's Sketchpad: http://www.youtube.com/watch?v=EwhTrg2n1eE 5:30 Circleintro: http://www.youtube.com/watch?v=ybYF-Q87qSQ 3:58 Concepts: Tallying, collecting and grouping data (Revision): http://www.bbc.co.uk/schools/gcsebitesize/maths/data/collectingdatarev1.shtml Tallying, collecting and grouping data (Activity): http://www.bbc.co.uk/schools/gcsebitesize/maths/data/collectingdataact.shtml Tallying, collecting and grouping data (test): http://www.bbc.co.uk/apps/ifl/schools/gcsebitesize/maths/quizengine?quiz=collectin gdata&templateStyle=maths Questionnaires (Revision): http://www.bbc.co.uk/schools/gcsebitesize/maths/data/questionnairesrev1.shtml Questionnaires (Activity): http://www.bbc.co.uk/schools/gcsebitesize/maths/data/questionnairesact.shtml Sampling – Higher (Revision): http://www.bbc.co.uk/schools/gcsebitesize/maths/data/samplinghirev1.shtml Sampling – Higher (test): http://www.bbc.co.uk/apps/ifl/schools/gcsebitesize/maths/quizengine?quiz=sampling h&templateStyle=maths Mean, mode and median (Revision): http://www.bbc.co.uk/schools/gcsebitesize/maths/data/measuresofaveragerev1.shtml Mean, mode and median (Activity): http://www.bbc.co.uk/schools/gcsebitesize/maths/data/measuresofaverageact.shtml Mean, mode and median (test): http://www.bbc.co.uk/apps/ifl/schools/gcsebitesize/maths/quizengine?quiz=measures ofaverage&templateStyle=maths Pie charts and frequency diagrams (Revision): http://www.bbc.co.uk/schools/gcsebitesize/maths/data/representingdata1rev1.shtml Pie charts and frequency diagrams (Activity): http://www.bbc.co.uk/schools/gcsebitesize/maths/data/representingdata1act.shtml Pie charts and frequency diagrams (test): http://www.bbc.co.uk/apps/ifl/schools/gcsebitesize/maths/quizengine?quiz=represent ingdata1&templateStyle=maths Line graphs, frequency polygons and stem and leaf diagrams (Revision): http://www.bbc.co.uk/schools/gcsebitesize/maths/data/representingdata2rev1.shtml Line graphs, frequency polygons and stem and leaf diagrams (Activity): http://www.bbc.co.uk/schools/gcsebitesize/maths/data/representingdata2act.shtml Line graphs, frequency polygons and stem and leaf diagrams (test): http://www.bbc.co.uk/apps/ifl/schools/gcsebitesize/maths/quizengine?quiz=represent ingdata2&templateStyle=maths Inter-quartile range, cumulative frequency, box and whisker plots – Higher (Revision): http://www.bbc.co.uk/schools/gcsebitesize/maths/data/representingdata3hirev1.shtml Inter-quartile range, cumulative frequency, box and whisker plots – Higher (test): http://www.bbc.co.uk/apps/ifl/schools/gcsebitesize/maths/quizengine?quiz=represent ingdata3&templateStyle=maths Scatter diagrams (Revision): http://www.bbc.co.uk/schools/gcsebitesize/maths/data/scatterdiagramsrev1.shtml Scatter diagrams (Activity): http://www.bbc.co.uk/schools/gcsebitesize/maths/data/scatterdiagramsact.shtml Scatter diagrams (test): http://www.bbc.co.uk/apps/ifl/schools/gcsebitesize/maths/quizengine?quiz=scatter&t emplateStyle=maths Measures of Central Tendency: Mean, Median, & Mode: http://simon.cs.vt.edu/SoSci/Site/MMM/mmm.html Cumulative Frequency (examples): http://www.tutorvista.com/content/math/statistics-and-probability/statisticsgraphical-representation/ogive.php Cumulative curves: http://curvebank.calstatela.edu/ogive82/ogive82.htm Statistics (Practice): http://www.scribd.com/doc/17894527/Statistics Quiz (Mean, Median, Mode and Range): http://www.quia.com/rr/51667.html Youtube/video: Mean Median & Mode Math Learning Upgrade (song): http://www.youtube.com/watch?v=uydzT_WiRz4 1:33 Mean, mode and median from frequency tables: http://www.youtube.com/watch?v=vqHEFqKU5gQ 7:06 Cumulative Frequency Diagrams 1: http://www.youtube.com/watch?v=53_ovZVVT0Y 4:17 Cumulative Frequency 2 - Median and Quartiles: http://www.youtube.com/watch?v=3pMRePkhQfM 5:42 Cumulative Frequency Curves: http://www.youtube.com/watch?v=8zVrqfTsgss 9:10
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