# Sec 2 Online resources (LimTB)

```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 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
Video for Lesson 33: Cartesian Coordinate System Intro:
3:09
3:24
Watch Video on The Coordinate System - Plotting Points:
2:56
8:02
Gradient between two points on straight line graph:
3:58
How to calculate slope angle from a map:
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:
6:07
Algebra - Find the Equation of a Line Given Two Points Intuitive Math Help:
5:50
4:01
Algebra - Find the Equation of a Line Part 2 of 2 Detailed Intro Intuitive Math Help:
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
Trigonometry
Solving Simultaneous Equations by Elimination Example 1:
2:51
Solving Simultaneous Equations by Substitution Example 1:
2:01
Solving Simultaneous Equations by Graph:
3:11
Watch Video on Solving Systems by Graphing - Algebra Help:
3:49
Concepts:
Introductory exercises: Trigonometric Functions:
Moderate exercises: Trigonometric Functions:
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
Algebra
Concepts:
8:44
Factoring the quadratics, the hard case (using the box):
Factoring the quadratics, the weird case:
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:
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&amp;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&amp;chapter=4&amp;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&amp;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&amp;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&amp;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
Watch Video from YourTeacher.com - Geometry Resources:
3:25
E8 POLYHEDRA-LEONARDO DAVINCI NEW SECRETS REVEALED CHECK
5:11
Geometry/
Circles
Everything Is Connected To The Golden Ratio Chris MintZ Barf:
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:
3:53
Watch Video on Congruent Figures - Geometry Help:
2:41
Watch Video on Proving Triangles are Congruent - Math Help:
3:34
CA Geometry: More on cogruent and similar triangles:
11:11
Watch video from YourTeacher.com – Geometry resources:
3:25
Watch Video on Proving Triangles are Similar - Geometry Help:
4:30
Watch Video on Similar Triangles - Geometry Help:
3
Watch Video on Similarity Word Problems - Geometry Help:
2:31
Watch Video on Hypotenuse Leg and Angle Angle Side:
4:01
Watch Video on Similar Figures - Similar Polygons:
2:38
Watch Video on Midsegment of a Triangle - Geometry Help:
2:31
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&amp;ID1=AB.MATH.JR.SHA
P&amp;ID2=AB.MATH.JR.SHAP.CIRC&amp;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&amp;
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
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&amp;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
Statistics
Watch Video from YourTeacher.com - Geometry Concepts:
3:11
5:30
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&amp;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&amp;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&amp;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&amp;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&amp;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&amp;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&amp;t
emplateStyle=maths
Measures of Central Tendency: Mean, Median, &amp; 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
Mean Median &amp; Mode Math Learning Upgrade (song):
1:33
Mean, mode and median from frequency tables: