Notes, solutions of unit 08, General Mathematics 9, for Punjab Curriculum & Textbook Board (PCTB), Lahore.

* Identify pair of real numbers as an ordered pair.

  • Recognize an ordered pair through different examples.
  • Describe rectangular or Cartesian plane consisting of two number lines interesting at right angles at the point $O$.
  • Identify origin $(O)$ and coordinate axes (horizontal and vertical axes or $x-axis$ and $y-axis$) in the rectangular plane.
  • Locate an ordered pair $(a, b)$ as a point in the rectangular plane and recognize.
    • $a$ as the $x$-coordinate (or abscissa),
    • $b$ as the $y$-coordinate (or ordinate).
  • Draw different geometrical shapes (e.g., line segment, triangle and rectangle etc.) by joining a set of given points.
  • Construct a table for pairs of values satisfying a linear equation in two variables.
  • Plot the pairs of points to obtain the graph of a given expression.
  • Choose an appropriate scale to draw a graph.
  • Draw a graph of
    • an equation of the form $y = c$,
    • an equation of the form $x = a$,
    • an equation of the form $y = mx$,
    • an equation of the form $y = mx + c$.
  • Draw a graph from a given table of (discrete) values.
  • Solve appropriate real life problems.
  • Interpret conversion graph as a linear graph relating to two quantities which are in direct proportion.
  • Read a given graph to know one quantity corresponding to another.
  • Read the graph for conversions of the form.
    • miles and kilometers, acres and hectares,
    • degrees Celsius and degrees Fahrenheit,
    • Pakistani currency and another currency, etc.
  • Solve simultaneous linear equations in two variables using graphical method.