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ZingPath: Quadratic Equations

Introducing the Quadratic Equation in One Variable

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Quadratic Equations

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Lesson Focus

Introducing the Quadratic Equation in One Variable

Algebra-1

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You will recognize quadratic equations and rewrite them in standard form, identifying the leading coefficient, linear term, and constant of the equation.

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Now You Know

After completing this tutorial, you will be able to complete the following:

  • Identify a quadratic equation in one variable.
  • Recognize the standard form of a quadratic equation.
  • Write a given quadratic equation in standard form.

Everything You'll Have Covered

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.

Tutorial Details

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.
Course Algebra-1
Type of Tutorial Concept Development
Key Vocabulary coefficients, constant, linear term