Ø Factor a quadratic equation Ø Complete the square Ø Translate between standard, factored, and vertex form of a quadratic equation Ø Use the quadratic formula Ø Find x-intercepts, vertex, y-intercept Ø Graph Ø Use finite differences to find the equation of a polynomial
· Polynomial · Degree · Polynomial function · Monomial, binomial, trinomial · Model · Coefficient · Finite differences method · Quadratic function · General form, factored form, vertex form · Cubic function · Zeroes of a function · Factor theorem numbers · Imaginary numbers · Complex numbers
A2.1.C solve problems that can be represented by quadratic functions and equations. A2.2A Explain how whole, integer, rational, real, and complex numbers are related, and identify the number system(s) within which a given algebraic equation can be solved. A2.3.A Translate between the standard form of a quadratic function, the vertex form, and the factored form; graph and interpret the meaning of each form. A2.3.B Determine the number and nature of the roots of a quadratic function A2.3.C Solve quadratic equations and inequalities, including equations with complex roots. A2.6.E Determine if a bivariate data set can be better modeled with an exponential or a quadratic function and use the model to make predictions.
A2.1.A Select and justify functions and equations to model and solve problems.
A2.8.C Evaluate a solution for reasonableness, verify its accuracy, and interpret the solution in the context of the original problem. A2.8.D Generalize a solution strategy for a single problem to a class of related problems, and apply a strategy for a class of related problems to solve specific problems. A2.8.E Read and interpret diagrams, graphs, and text containing the symbols, language and conventions of mathematics. A2.8.F Summarize mathematical ideas with precision and efficiency for a given audience and purpose. A2.8.H Synthesize information to draw conclusions and evaluate the arguments and conclusions of others. |