Parametric Lines

https://www.desmos.com/calculator/fgd0zrrkrs

This nice problem provides a fundamental introduction to animation in Desmos. The student will plot points, draw lines between points, and move points along those lines. This will reinforce the students’ capacity to move between the graph and the algebra.

In this animation, P and Q move along the dotted lines bringing the line-segment PQ along with them. Find the times at which the PQ line is horizontal, vertical, or of slope 1.

Curriculum Expectations

  • A1. Mathematical Processes

  • A2. Making Connections

  • C1. Algebraic Expressions and Equations

  • C3. Application of Relations

  • C4. Characteristics of Relations