Given a mathematical or real-world context, write and solve one-variable quadratic equations over the real and complex number systems.
Clarifications
Clarification 1: Within this benchmark, the expectation is to solve by factoring techniques, taking square roots, the quadratic formula and completing the square.
Subject Area: Mathematics (B.E.S.T.)
Grade: 912
Strand: Algebraic Reasoning
Date Adopted or Revised: 08/20
Status: State Board Approved
Related Courses
Related Access Points
| Access Point Number |
Access Point Title |
| MA.912.AR.3.AP.2 | Solve mathematical one-variable quadratic equations with integer coefficients over the real and complex number systems. |
Related Resources
Formative Assessment
| Name |
Description |
| Complex Solutions? | Students are asked to explain how to recognize when the quadratic formula results in complex solutions. |
Lesson Plans
| Name |
Description |
| Solving Quadratic Equations by Completing the square | Students will model the process of completing the square (leading coefficient of 1) with algebra tiles, and then practice solving equations using the completing the square method. This lesson provides a discovery opportunity to conceptually see why the process of squaring half of the b value is considered completing the square. |
| Solving Quadratics - Exploring Different Methods | Students will explore how different methods find the solutions (roots) to quadratic equations including, factoring, graphing, and the quadratic formula. |
| Radical Mathematical | In this lesson students will solve radical equations, showing how extraneous solutions may arise. Students will solve radical equations that model real-world relationships. |
| The Quadratic Quandary | Students will sort various quadratic equations by the method they would use for solving (ie. factoring, quadratic formula). Then as a class they justify their placements and eventually discover that there are many ways to solve and that some make sense in different situations, however there is no real "correct" method for each equation type. |
Perspectives Video: Professional/Enthusiast
| Name |
Description |
| Quadratic Equations and Robots | Get in gear with robotics as this engineer explains how quadratic equations are used in programming robotic navigation. |
Student Resources
Perspectives Video: Professional/Enthusiast
| Name |
Description |
| Quadratic Equations and Robots: | Get in gear with robotics as this engineer explains how quadratic equations are used in programming robotic navigation. |
Parent Resources
Perspectives Video: Professional/Enthusiast
| Name |
Description |
| Quadratic Equations and Robots: | Get in gear with robotics as this engineer explains how quadratic equations are used in programming robotic navigation. |
