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Algebraic Manipulation
Arithmetic Problem Solving
Coordinate Geometry
Congruency
Distance, Midpoint and Circles
Expansion and Factorisation
Indices
Monomials and Polynomials
Pythagoras Theorem
Quadratic Equations
Quadratic Graphs
Similar Figures & Solids
Simultaneous Linear Equations
Statistics
Trigonometry
Circle Properties
Plane Geometry
ACE
Statistical Poster Design
Graphing Calculator Design
Coordinate Geometry
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Table of Contents
(1) Background reading
(2) Concept Mastery
(a) The Cartesian Coordinate System and Gradient of a straight line
(b) Equation of a straight line
(c) Solving Simultaneous Equations using Graphical Method
Objectives:
You should know how to
Plot coordinates on the Cartesian Plane
Use the formula to calculate Gradient of a straight line
Find the equation of a straight line
Know the different ways of writing a straight line equation
Sketch equations of y = mx + c, y = k, x = k where m, c and k are constants
Use the graphical method to solve simultaneous equations
Find distance and midpoint of 2 points using formula [Learn Pythagoras Theorem first]
Resources: Notes and Textbook Ch 5
(1) Background reading
Read up about the Mathematician who developed the
Cartesian Coordinate System
 Rene Decartes
Reading on Descartes.pdf
Details
Download
94 KB
(2) Concept Mastery
Notes to use along with the slides:
Linear Graphs  Cartesian Plane and Gradient.pdf
Details
Download
125 KB
(a) The Cartesian Coordinate System and Gradient of a straight line
These are the slides for this section:
Coordinate Geometry  The Cartesian Plane.ppt
Details
Download
484 KB
Test your knowledge on plotting of coordinate points by playing these 2 games:
(1)
http://www.onlinemathlearning.com/gridgame.html
(2)
http://xpmath.com/forums/arcade.php?do=play&gameid=12
(b) Equation of a straight line
Concepts and Formulas:
(1) Gradient/Slope of a line:
[URL:
http://www.youtube.com/watch?v=sHawdJFDsZk
]
(2) Equation of a straight line
[URL:
http://www.youtube.com/watch?v=NwvRsShu6g
]
The powerpoint slides show a summary of the formulas. You can use the slides as a reference for your practice.
Coordinate_Geometry(Equation of straight line for Sec 2).ppt
Details
Download
162 KB
Game on Equation of straight line:
http://www.bbc.co.uk/education/mathsfile/shockwave/games/planethop.html
(3) How to intepret Equations of straight lines
:
(4) Parallel Lines (Perpendicular Lines are also mentioned in the video but it's not required at Sec 2 Level)
[URL:
http://www.youtube.com/watch?v=IexRuq0DOgI
]
(5) Further Examples on equations of parallel and perpendicular lines:
[URL:
http://www.youtube.com/watch?v=oZg7O3GLNI
]
Download these slides for more examples:
Examples of how to plot a linear graph and calculate equation.ppt
Details
Download
148 KB
(6) Using a table of values to draw a linear graph:
[URL:
http://www.youtube.com/watch?v=r4CdR_jBnMQ
]
(c) Solving Simultaneous Equations using Graphical Method
[URL:
http://www.youtube.com/watch?v=cqBwozd8nu8
]
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Table of Contents
Objectives:
You should know how to
Resources: Notes and Textbook Ch 5
(1) Background reading
Read up about the Mathematician who developed the Cartesian Coordinate System  Rene Decartes(2) Concept Mastery
Notes to use along with the slides:
(a) The Cartesian Coordinate System and Gradient of a straight line
These are the slides for this section:Test your knowledge on plotting of coordinate points by playing these 2 games:
(1) http://www.onlinemathlearning.com/gridgame.html
(2) http://xpmath.com/forums/arcade.php?do=play&gameid=12
(b) Equation of a straight line
Concepts and Formulas:
(1) Gradient/Slope of a line:
[URL: http://www.youtube.com/watch?v=sHawdJFDsZk ]
(2) Equation of a straight line
[URL: http://www.youtube.com/watch?v=NwvRsShu6g ]
The powerpoint slides show a summary of the formulas. You can use the slides as a reference for your practice.
Game on Equation of straight line: http://www.bbc.co.uk/education/mathsfile/shockwave/games/planethop.html
(3) How to intepret Equations of straight lines:
(4) Parallel Lines (Perpendicular Lines are also mentioned in the video but it's not required at Sec 2 Level)
[URL: http://www.youtube.com/watch?v=IexRuq0DOgI ]
(5) Further Examples on equations of parallel and perpendicular lines:
[URL: http://www.youtube.com/watch?v=oZg7O3GLNI ]
Download these slides for more examples:
(6) Using a table of values to draw a linear graph:
[URL: http://www.youtube.com/watch?v=r4CdR_jBnMQ]
(c) Solving Simultaneous Equations using Graphical Method
[URL: http://www.youtube.com/watch?v=cqBwozd8nu8]