Public learning track
Quadratic and Fractional Equations
7th Grade · Math · Open Global Math
10 lessons
Goal
Solve introductory quadratic equations by square roots and factoring, and solve fractional algebraic equations while identifying extraneous roots.
Featured Diagrams
Solving Quadratic Equations of the Form x² = k
10 lessons
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- 1Solving Quadratic Equations of the Form x² = kUp nextStart
- 2Solving Quadratic Equations of the Form a(x - h)² = kPremiumNot started yet
- 3Applying the Zero Product Property to Factored EquationsNot started yet
- 4Solving Quadratic Equations by Factoring Out a Common FactorNot started yet
- 5Solving Monic Quadratic Equations by Trinomial FactoringNot started yet
- 6Understanding and Solving Introductory Fractional EquationsNot started yet
- 7Solving Rational Equations with Variables in DenominatorsNot started yet
- 8Identifying and Excluding Extraneous Solutions in Fractional EquationsNot started yet
- 9Solving Proportions with Algebraic ExpressionsNot started yet
- 10Modeling and Solving Real-World Problems with Fractional and Quadratic EquationsNot started yet
Curriculum Framework
7th Grade · Math · Open Global Math
1
12 lessons
Algebraic Expressions and Polynomial Operations
Formulate, simplify, expand, and factor linear and polynomial expressions with rational coefficients using properties of operations.
2
12 lessons
One-Variable Linear Equations and Two-Step Forms
Solve and verify one-step and two-step linear equations in forms such as px + q = r and p(x + q) = r with rational numbers fluently.
3
11 lessons
Multi-Step Linear Equations and Identities
Solve multi-step linear equations with variables on both sides, clear fractions and decimals, solve literal equations, and determine solution cardinality.
4
11 lessons
Linear Inequalities and Number Line Representations
Write, solve, and graph one-variable linear inequalities with rational numbers, and interpret solution sets within contextual constraints.
5
11 lessons
Foundations of Functions and Relations
Understand the function concept as a single-output rule, distinguish variables, evaluate functions, and connect tables, equations, and graphs.
6
12 lessons
Linear Functions, Slope, and Rates of Change
Analyze constant rates of change, determine and interpret slope and intercepts, and model real-world linear functions algebraically and graphically.
7
11 lessons
Systems of Linear Equations
Solve systems of two linear equations in two variables graphically, by substitution, and by elimination, and model contextual problems.
8
11 lessons
Non-Linear Functions: Quadratic and Inverse Variation
Analyze non-linear relationships, explore quadratic functions and inverse proportional functions through tables, formulas, and graphs.
9
10 lessons
Quadratic and Fractional Equations
Solve introductory quadratic equations by square roots and factoring, and solve fractional algebraic equations while identifying extraneous roots.