9.3.6: Equivalence and Relational Thinking: Use concepts and properties of equivalence and relational thinking to represent and compare numerical expressions, proportional relationships, algebraic expressions and equations.

Equivalence and Relational Thinking: Use concepts and properties of equivalence and relational thinking to represent and compare numerical expressions, proportional relationships, algebraic expressions and equations.

9.3.6.01Add, subtract and multiply polynomials. (MP1, MP7)9.3.6.02Reason abstractly to compare general forms of quadratics, including vertex form, general form, factored form and the graph. Develop procedures to convert from one form to another. (MP2, MP7)9.3.6.03Choose and produce an equivalent form of a quadratic function, using symbolic and graphical methods, to identify the vertex, line of symmetry and intercepts of the parabola. (MP8)9.3.6.04Factor polynomials including common monomial factors from polynomials, quadratic polynomials and the difference of two squares. (MP7, MP8)9.3.6.05Solve quadratic equations by appropriate methods using factoring, completing the square, graphing or the quadratic formula. Find non-real complex roots when they exist. (MP2, MP7)9.3.6.06Compare the equation of a circle, the Pythagorean Theorem and the Distance Formula. Complete the square to find the center and radius of a circle given an equation. (MP2, MP8)9.3.6.07Solve situations involving relationships which are inversely proportional in various contexts, including rates. (MP4)9.3.6.08Apply the properties of rational exponents and radicals to generate equivalent algebraic expressions. (MP2, MP7)

1-on-1 AI tutoring aligned to 9.3.6. Instant help for students, real-time insights for teachers.

Used in classrooms by 100,000+ students at Baltimore County, Plano ISD, Deer Valley USD, KIPP, and districts nationwide.

Free for teachers, forever →