Mathematics SAT-36: Finding Maximum and Minimum Values of a Quadratic Find the highest or lowest value of a quadratic using the vertex (h, k) and x = −b/2a.
Mathematics SAT-35: Vertex Form of a Quadratic Read the turning point of a parabola straight from vertex form y = a(x − h)² + k.
Mathematics SAT-34: Determining Number and Type of Roots using the Discriminant Use b² − 4ac to tell how many real solutions a quadratic has — without solving it.
Mathematics SAT-33: The Quadratic Formula and the Discriminant Solve any quadratic with the quadratic formula, and meet the discriminant b² − 4ac.
Mathematics SAT-32: Factoring Advanced Quadratics (ax² + bx + c) Factor quadratics where a ≠ 1 using the reliable AC (split-the-middle) method.
Mathematics SAT-Math-31: Factoring Standard Quadratics ($x^2 + bx + c$) This lesson teaches students how to factor standard trinomial quadratics where the leading coefficient is 1, focusing on the "Product-Sum" method to find the correct binomial factors.
Mathematics SAT-Math-30: Factoring: Difference of Squares and Perfect Square Trinomials This lesson covers two high-yield special factoring shortcuts on the SAT—the Difference of Squares and Perfect Square Trinomials—enabling students to identify patterns and factor quadratic expressions instantly without using the grouping method.
Mathematics SAT-Math-29: Factoring: Greatest Common Factor and Grouping This lesson teaches students how to reverse polynomial multiplication by extracting the Greatest Common Factor (GCF) from an expression and applying the grouping method to factor multi-term polynomials.
Mathematics SAT-Math-28: Multiplying Polynomials (FOIL and beyond) This lesson teaches students how to multiply polynomial expressions, mastering the FOIL method for binomials and expanding to multi-term distribution systematically.
Mathematics SAT-Math-27: Introduction to Polynomials: Adding and Subtracting This lesson introduces polynomials, defining terms like degrees and leading coefficients, and teaches students how to accurately add and subtract polynomial expressions by grouping like terms.
Mathematics SAT-Math-26: Rationalizing Denominators This lesson teaches students how to eliminate radicals from the denominator of a fraction, covering both single-term radicals and two-term radical expressions using the conjugate method.
Mathematics SAT-Math-25: Simplifying Radical Expressions This lesson teaches students how to simplify radical expressions by extracting perfect squares, performing arithmetic operations on radicals, and rewriting roots for optimal calculation speed.
