Algebra 2 Online!
Henrico County Public Schools, Virginia
Expressions and Operations

Equations and Inequalities

Functions

Statistics

SOL Review Materials
AII.4b
The student will solve, algebraically and graphically,
b)   quadratic equations over the set of complex numbers.
Graphing calculators will be used for solving and for confirming the algebraic solutions
Essential Knowledge and Skills 
  • Solve a quadratic equation over the set of complex numbers using an appropriate strategy.
  • Calculate the discriminant of a quadratic equation to determine the number of real and complex solutions.
  • Recognize that the quadratic formula can be derived by applying the completion of squares to any quadratic equation in standard form. †Revised March 2011
Essential Understandings
  • A quadratic function whose graph does not intersect the x-axis has roots with imaginary components.
  • The quadratic formula can be used to solve any quadratic equation.
  • The value of the discriminant of a quadratic equation can be used to describe the number of real and complex solutions.
  • Equations can be solved in a variety of different ways.
  • Set builder notation may be used to represent solution sets of equations and inequalities.
Vertical Articulation
  1. SOL A.4cf - c) solve quad equations (algebraically/graphically); f) solve real‐world problems involving equations and systems of equations
Instructional Materials
  1. VDOE ESS Lesson: Quadratic Equations - Equations and Inequalities (PDF) - Solving quadratic equations over the set of complex numbers (Word)
  2. Notes: Solving Equations (Mixed) by Graphing (ppt)
Real World Lessons
Practice
  1. VDOE ESS: Different Methods of Solving Quadratics Worksheet (pdf)
  2. VDOE ESS: Solving Quadratics Worksheet (pdf)
  3. VDOE ESS: Creating Quadratic Equations Worksheet (pdf)
Self-Assessments
  1. SOL Mini-Quiz: AII.4b - Solving Quadratic Equations
Skills
  1. Mathematics Assessment Project: E05:Fearless Frames - Expert - Fearless Frames Inc makes metal frames for containers. Your task is to find the maximum volume of prism-shaped frame that can be made with a limited supply of metal.
  2. JMU Pivotal Question: Quadratic Equations (doc)
Videos

 

Explore Learning
  1. Modeling and Solving Two-Step Equations - Solve a two‑step equation using a cup‑and‑counter model. Use step‑by‑step feedback to diagnose and correct incorrect steps.
  2. Solving Two-Step Equations - Choose the correct steps to solve a two-step equation. Use the feedback to diagnose incorrect steps.
Websites
  1. Interactive Notes: Solving Quadratic Equations - lessons and practice problems from Regentsprep.org
  2. Interactive: Solving Quadratic Equations Self-Test - notes and twelve practice problems at math.uww.edu
Common Core Standards
N-CN.7
N-CN.8
A-REI.2
A-REI.4a
A-REI.4b
F-IF.7b
F-IF.8a