Quadratic Equations Math Activities

Definition

A quadratic equation is a polynomial equation of degree two, usually written in the standard form$$ax^2 + bx + c = 0$$

where $a$, $b$, and $c$ are real numbers and $a \neq 0$. The solutions of a quadratic equation are called roots or zeros, which are the values of $x$ that make the equation true.

Summary

Quadratic equations describe relationships where the highest power of the variable is squared. They can be solved using several methods, including factoring, completing the square, using the quadratic formula, and graphing. The graph of a quadratic equation is a parabola, which may open upward or downward depending on the value of $a$. The number and type of solutions are determined by the discriminant ($b^2 – 4ac$), which indicates whether the equation has two real solutions, one real solution, or no real solutions. Quadratic equations are widely used in mathematics, physics, engineering, and real-life applications such as modeling motion, area, and profit.

Quadratic Equations Math Activities

This is a fantastic bundle which includes 10 activities with answer guides about Quadratic Equations. All our worksheets are completely editable so can be tailored for your curriculum and target audience.

Resource Examples

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Worksheets Activities Included

•  Discriminant Detective
• Solve Using the Quadratic Formula
• Completing the Square
• Match the Equation to Its Solutions
• Error Analysis
• Write the Solutions
• Nature of the Roots
• Convert from Vertex Form
• Create & Solve
• Challenge Problem