Mar 24, 2016 - Exponential and Logarithmic Functions
In this module, students synthesize and generalize what they have learned about a variety of function families. They extend the domain of exponential functions...
Jan 26, 2016 - Student Outcomes
Students understand the Fundamental Theorem of Algebra; that all polynomial expressions factor into linear terms in the realm of complex numbers. Consequences, in particular, for...
Jan 26, 2016 - Student Outcomes
Students solve quadratic equations with real coefficients that have complex solutions. Students extend polynomial identities to the complex numbers.
Students note the difference...
Jan 26, 2016 - Student Outcomes
Students solve quadratic equations with real coefficients that have complex solutions. They recognize when the quadratic formula gives complex solutions and write them as a + bi for...
Jan 26, 2016 - Student Outcomes
Students understand the possibility that an equation—or a system of equations—has no real solutions. Students identify these situations and make the appropriate geometric...
Jan 26, 2016 - Students extend their facility with solving polynomial equations to working with complex zeros. Complex numbers are introduced via their relationship with geometric transformations. The topic...
Jan 26, 2016 - Student Outcomes
Students develop facility with graphical interpretations of systems of equations and the meaning of their solutions on those graphs. For example, they can use the distance formula to...
Jan 26, 2016 - Student Outcomes
Students solve systems of linear equations in two variables and systems of a linear and a quadratic equation in two variables.
Students understand that the points at which the two...
Jan 26, 2016 - Student Outcomes
Students solve simple radical equations and understand the possibility of extraneous solutions. They understand that care must be taken with the role of square roots so as to avoid...
Jan 26, 2016 - Students solve polynomial, rational, and radical equations, and apply these types of equations to real-world situations. They examine the conditions under which an extraneous solution is introduced...
Jan 26, 2016 - Student Outcomes
Students model a cross-section of a riverbed with a polynomial function and estimate fluid flow with their algebraic model.
Jan 26, 2016 - Student Outcomes
Students will use the factored forms of polynomials to find zeros of a function.
Students will use the factored forms of polynomials to sketch the components of graphs between zeros.
