## A Study of Malaria and Sickle Cell Anemia

** Description:**This investigation of the genetics of the Sickle Cell trait via a mathematical model
uses probability and teaches properties of quadratic functions and the concept of
optimization of a function.
The properties of quadratic functions brought out by this investigation are

-the relationship between the zeros of the function and its factors,

-the relationship between the zeros and the location of its vertex,

-the symmetry of its graph, and the location of its extreme point,

-factors of quadratics of the form ax^2 + bx

**Last Updated:**

**Subject(s):**- Mathematics
- Mathematics > Algebra

**Educational Level(s):**- College & Beyond

**Instructional Component Type(s):**- Activity: Experiment/Lab

- From: San Diego Area Knowledge Exchange for Developmental Math (SAKE)
- Contributed By: SAKE Owner SAKE Owner

This investigation of the genetics of the Sickle Cell trait via a mathematical model uses probability and teaches properties of quadratic functions and the concept of optimization of a function. The properties of quadratic functions brought out by this investigation are

-the relationship between the zeros of the function and its factors,

-the relationship between the zeros and the location of its vertex,

-the symmetry of its graph, and the location of its extreme point,

-factors of quadratics of the form ax^2 + bx