Theory of Intelligence
9TH•Mathematics•Coordinate Geometry•7.1 Coordinate Plane, Distance and Midpoint

Students' Learning Outcomes

Cartesian plane, distance formula, midpoint formula.

Students' Learning Outcomes

At the end of the unit, the students will be able to:

  • Derive distance formula by locating the position of two points in coordinate plane.
  • Calculate the midpoint of a line segment.
  • Find the gradient of a straight line when coordinates of two points are given.
  • Find the equation of a straight line in the form y=mx+cy = mx + c.
  • Find the gradient of parallel and perpendicular lines.
  • Apply distance and midpoint formulas to solve real-life situations such as physical measurements or distances between locations.
  • Apply concepts from coordinate geometry to real world problems (such as, aviation and navigation, landscaping, map reading, longitude and latitude).
  • Derive equation of a straight line in:
    • slope-intercept form
    • point-slope form
    • two-point form
    • intercepts form
    • symmetric form
    • normal form.
  • Show that a linear equation in two variables represents a straight line and reduce the general form of the equation of a straight line to the other standard forms.

Discuss theoretical concepts, mathematical formulas, and architectural foundations.

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