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.

General Information

**Subject Area:**Mathematics (B.E.S.T.)

**Grade:**912

**Strand:**Algebraic Reasoning

**Standard:**Write, solve and graph quadratic equations, functions and inequalities in one and two variables.

**Date Adopted or Revised:**08/20

**Status:**State Board Approved

## Related Courses

This benchmark is part of these courses.

1200330: Algebra 2 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))

1200340: Algebra 2 Honors (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))

1200400: Foundational Skills in Mathematics 9-12 (Specifically in versions: 2014 - 2015, 2015 - 2022, 2022 and beyond (current))

7912095: Access Algebra 2 (Specifically in versions: 2016 - 2018, 2018 - 2019, 2019 - 2022, 2022 and beyond (current))

1209315: Mathematics for ACT and SAT (Specifically in versions: 2022 and beyond (current))

## Related Access Points

Alternate version of this benchmark for students with significant cognitive disabilities.

MA.912.AR.3.AP.2: Solve mathematical one-variable quadratic equations with integer coefficients over the real and complex number systems.

## Related Resources

Vetted resources educators can use to teach the concepts and skills in this benchmark.

## Formative Assessment

## Lesson Plans

## Perspectives Video: Professional/Enthusiast

## MFAS Formative Assessments

Complex Solutions?:

Students are asked to explain how to recognize when the quadratic formula results in complex solutions.

## Student Resources

Vetted resources students can use to learn the concepts and skills in this benchmark.

## Perspectives Video: Professional/Enthusiast

Quadratic Equations and Robots:

Get in gear with robotics as this engineer explains how quadratic equations are used in programming robotic navigation.

Type: Perspectives Video: Professional/Enthusiast

## Parent Resources

Vetted resources caregivers can use to help students learn the concepts and skills in this benchmark.

## Perspectives Video: Professional/Enthusiast

Get in gear with robotics as this engineer explains how quadratic equations are used in programming robotic navigation.

Type: Perspectives Video: Professional/Enthusiast