Jan 26, 2016 - Student Outcomes
Students use geometric series to calculate how much money should be saved each month to have 1 million in assets within a specified amount of time.
Jan 26, 2016 - Student Outcomes
Students model the scenario of buying a house.
Students recognize that a mortgage is mathematically equivalent to car loans studied in Lesson 30 and apply the present value of...
Jan 26, 2016 - Student Outcomes
Students will compare payment strategies for a decreasing credit card balance.
Students will apply the sum of a finite geometric series formula to a decreasing balance on a credit...
Jan 26, 2016 - Student Outcomes
Students use the sum of a finite geometric series formula to develop a formula to calculate a payment plan for a car loan and use that calculation to derive the present value of an...
Jan 26, 2016 - Student Outcomes
Students derive the sum of a finite geometric series formula.
Students apply the sum of a finite geometric series formula to a structured savings plan.
Jan 26, 2016 - Topic E is a culminating series of lessons driven by MP.4, Modeling with Mathematics. Students apply what they have learned about mathematical models and exponential growth to financial literacy...
Jan 26, 2016 - Student Outcomes
Students create exponential functions to model real-world situations.
Students use logarithms to solve equations of the form f(t) = a ∙ bct for t.
Students decide which type of model...
Jan 26, 2016 - Student Outcomes
Students develop a general growth/decay rate formula in the context of compound interest.
Students compute future values of investments with continually compounding interest rates.
Jan 26, 2016 - Student Outcomes
Students apply properties of logarithms to solve exponential equations.
Students relate solutions to f(x) = g(x) to the intersection point(s) on the graphs of y = f(x) and y = g(x)...
Jan 26, 2016 - Topic D opens with a hands-on simulation and modeling activity in which students gather data and apply the analysis of Lesson 22 in Topic C to model it with an exponential function (A-CED.2, F-LE.5...
Jan 26, 2016 - At the beginning of Topic B, students apply the properties of exponents to solve exponential equations numerically (F-BF.1a) as a way to motivate the need for logarithms, which are first introduced...
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...
