Public learning track
Quadratic Equations, Discriminant Analysis, and Roots
8th Grade · Math · Open Global Math
13 lessons
Goal
Solve quadratic equations using factoring, completing the square, and the quadratic formula; analyze roots using the discriminant and Vieta's relations.
Featured Diagrams
Solving Quadratic Equations Using Square Roots
13 lessons
0 of 13 done
- 1Solving Quadratic Equations Using Square RootsUp nextStart
- 2Zero-Product Property and Greatest Common Factor EquationsPremiumNot started yet
- 3Solving Monic Quadratic Equations Using the Zero-Product PropertyNot started yet
- 4Solving Quadratic Equations Using Difference of SquaresNot started yet
- 5Solving Perfect Square Trinomial EquationsNot started yet
- 6Solving Non-Monic Quadratic Equations by FactoringNot started yet
- 7Solving Quadratic Equations by Completing the SquareNot started yet
- 8Deriving and Applying the Quadratic FormulaNot started yet
- 9Using the Discriminant to Determine Number of SolutionsNot started yet
- 10Determining Unknown Coefficients from Discriminant ConditionsNot started yet
- 11Reconstructing Quadratic Equations from Given Roots Using Vieta's RelationsNot started yet
- 12Evaluating Symmetric Expressions of Roots Using Vieta's RelationsNot started yet
- 13Modeling Real-World Projectile and Geometric Problems with Quadratic EquationsNot started yet
Curriculum Framework
8th Grade · Math · Open Global Math
1
12 lessons
Polynomial Expressions, Special Products, and Factoring
Construct, expand, factor, and evaluate polynomial expressions using algebraic identities and common factor extraction.
2
8 lessons
Rational Algebraic Expressions and Operations
Simplify, reduce, add, subtract, multiply, and divide rational algebraic expressions and state excluded domain values.
3
7 lessons
Linear Equations and Rational Linear Forms
Formulate, solve, and classify one-variable linear and fractional equations across real-world and geometric scenarios.
4
7 lessons
Linear and Compound Inequalities
Solve single-variable linear and compound inequalities algebraically and represent solution sets on number lines and in interval notation.
5
7 lessons
Systems of Linear Equations in Two and Three Variables
Solve simultaneous linear systems in two and three variables using graphical, substitution, and elimination methods, and interpret practical models.
6
13 lessons
Quadratic Equations, Discriminant Analysis, and Roots
Solve quadratic equations using factoring, completing the square, and the quadratic formula; analyze roots using the discriminant and Vieta's relations.