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Algebra
Std 10: Calculate length, midpoint, and slope of a line segment when given coordinates of its endpoints on the Cartesian plane.
  • Deriving the distance, midpoint, and slope formulas

Lesson Plans

Distance on the [flat] Earth
This lesson is a real-world application of the distance formula using latitude and longitude.

Chicago Public Schools
This is a structured lesson plan that provides strategies for teaching, examples, worksheets, and assessments. Instruction on the TI-82/83 is provided, but the use of calculators is not essential. (Day 86)

The Midpoint Formula
This is a PurpleMath lesson that gives some good examples of using the Midpoint Formula and some applications.

Slope and Population Change
This lesson has students use population of a city every ten years, graphed, to find the change in population (slope).  The beginning of the lesson provides a graph on Manhattan's population for practice and then students research their assigned city in groups to make a similar chart.  Graph of Manhattan, chart for data collection, and rubric for grading are provided.

Distance Formula
This short lesson shows the derivation of the distance formula from the Pythagorean theorem with good illustrations and some extensions for using the distance formula.

 

 

Resources:

Extra Help
Interactive lessons on midpoint and distance on the Cartesian coordinate plane.

 

 

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