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Common Core: Math
Grades: Grade 11
43 Results
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- 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...
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- 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.
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- 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)...
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- 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.
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- 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...
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- 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.
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- 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...
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- 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...
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- Student Outcomes Students solve simple exponential equations numerically.
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- 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...
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- 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...
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- 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...
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- 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...
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- Student Outcomes Students develop facility in solving radical equations.
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- Student Outcomes Students solve linear systems in three variables algebraically.
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- 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...
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- 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...
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- Student Outcomes Students multiply and divide rational expressions and simplify using equivalent expressions.
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- Student Outcomes Students perform addition and subtraction of rational expressions.
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- Student Outcomes Students solve rational equations, monitoring for the creation of extraneous solutions.
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- Student Outcomes Students solve word problems using models that involve rational expressions.
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- 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...
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- Student Outcomes Students learn to fit polynomial functions to data values.
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- Student Outcomes Students model a cross-section of a riverbed with a polynomial function and estimate fluid flow with their algebraic model.