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 mid-point 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

(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/grid-game.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=NwvRsShu6-g ]

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=oZg7O-3GLNI ]

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]