You will recognize quadratic equations and rewrite them in standard form, identifying the leading coefficient, linear term, and constant of the equation.
After completing this tutorial, you will be able to complete the following:
Quadratic equations arise in a rich diversity of mathematical and scientific phenomenon. Their ubiquity results from the quadratic equation's naturally occurring role in area models and in situations involving constant acceleration (or some analog thereof).
Quadratic equations involve polynomials, which are algebraic expressions comprising sums, products, whole number exponents, numbers, and variables. By way of algebraic manipulation, each polynomial can be written in the form
Writing a quadratic polynomial in standard form is a common algebraic task, and requires a thorough understanding of both combining like terms and the distributive law.
This Activity Object introduces quadratic equations and the aforementioned terminology, along with some real-life interpretations of the quadratic equation.
|Approximate Time||20 Minutes|
|Pre-requisite Concepts||Students should understand the concept of the distance formula, be able to define a linear equations and degree of a polynomial, identify the linear and constant terms in a linear equation, simplify algebraic expressions, and solve linear equations.|
|Type of Tutorial||Concept Development|
|Key Vocabulary||coefficients, constant, linear term|