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Common Core: Standard
Common Core: ELA
Common Core: Math
Grades: Grade 11
52 Results
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- Student Outcomes Students compare rational expressions by writing them in different but equivalent forms.
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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 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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- 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...
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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 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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- 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...
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- 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...
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- Student Outcomes Students solve simple exponential equations numerically.
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- 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...
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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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- 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...
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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.