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Common Core: Math
Grades: Grade 11
19 Results
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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 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 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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- 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 apply knowledge of exponential and logarithmic functions and transformations of functions to a contextual situation.
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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 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 use geometric sequences to model situations of exponential growth and decay. Students write geometric sequences explicitly and recursively and translate between the two...
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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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- 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 analyze data and real-world situations and find a function to use as a model. Students study properties of linear, quadratic, sinusoidal, and exponential functions.
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- Student Outcomes Students study transformations of the graphs of logarithmic functions. Students use the properties of logarithms and exponents to produce equivalent forms of exponential and...
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- Student Outcomes Students will understand that the logarithm function base b and the exponential function base b are inverse functions.
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- In Topic C, students graph logarithmic functions, identifying key features (F-IF.4, F-IF.7) and discover how the logarithmic properties are evidenced in the graphs of corresponding logarithmic...
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- Student Outcomes Students solve simple exponential equations numerically.
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- Student Outcomes Students write an exponential function that represents the amount of water in a tank after t seconds if the height of the water doubles every 10 seconds. Students discover Euler’s...
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- Student Outcomes Students approximate the value of quantities that involve positive irrational exponents. Students extend the domain of the function f(x) =bx for positive real numbers b to all real...
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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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- 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...