VIC: Advanced String Graphs Part 1

Objectives

• Cartesian and parametric forms of lines and parabolas
• Solutions to simultaneous equations
• Generalisation of families of lines using parameters

Vocabulary

• Parameter
• Simultaneous equations
• Envelope
  
  

About the Lesson

Students determine the equation(s) to a set of linear functions that collectively form a curve. At first glance the curve looks hyperbolic, however upon further investigation students discover that the curve is parabolic. A set of parametric equations can be used to describe consecutive points of intersection. The parametric equations can then be resolved into the general form of a conic.