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Common Core: Standard
Common Core: ELA
Common Core: Math
Grades: Grade 11
34 Results

 Student Outcomes Students apply knowledge of exponential and logarithmic functions and transformations of functions to a contextual situation.

 Student Outcomes Students create exponential functions to model realworld situations. Students use logarithms to solve equations of the form f(t) = a ∙ bct for t. Students decide which type of model...

 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.

 Student Outcomes Students understand that the change of base property allows us to write every logarithm function as a vertical scaling of a natural logarithm function. Students graph the natural...

 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...

 Student Outcomes Students gather experimental data and determine which type of function is best to model the data. Students use properties of exponents to interpret expressions for exponential...

 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...

 Student Outcomes Students will understand that the logarithm function base b and the exponential function base b are inverse functions.

 Student Outcomes Students graph the functions f(x) = log(x), g(x) = log2(x), and h(x) = ln(x) by hand and identify key features of the graphs of logarithmic functions.

 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...

 Student Outcomes Students review how changing the parameters A, ω, h, and k in f(x) = A sin(ω(x  h)) + k affects the graph of the sine function. Students examine the example of the Ferris wheel,...

 Student Outcomes Students graph the tangent function. Students use the unit circle to express the values of the tangent function for π  x, π + x, and 2π  x in terms of tan(x), where x is any real...

 Topic D opens with a handson 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 (ACED.2, FLE.5...

 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.

 Student Outcomes Students compare the graph of an exponential function to the graph of its corresponding logarithmic function. Students note the geometric relationship between the graph of an...

 Student Outcomes Students observe identities from graphs of sine and cosine basic trigonometric identities and relate those identities to periodicity, even and odd properties, intercepts, end...

 Student Outcomes Students interpret addition and multiplication of two irrational numbers in the context of logarithms and find betterandbetter decimal approximations of the sum and product,...

 Student Outcomes Students graph the sine and cosine functions and analyze the shape of these curves. For the sine and cosine functions, students sketch graphs showing key features, which include...

 In Topic C, students graph logarithmic functions, identifying key features (FIF.4, FIF.7) and discover how the logarithmic properties are evidenced in the graphs of corresponding logarithmic...

 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...

 Students will use trigonometric functions to model periodic phenomena (FTF.B.5) by fitting sinusoidal functions to data (SID.B.6a). Students use the properties of the graphs of sinusoidal...

 Student Outcomes Students formalize the periodicity, frequency, phase shift, midline, and amplitude of a general sinusoidal function by understanding how the parameters A, w, h, and k in the formula...

 Student Outcomes Students model a crosssection of a riverbed with a polynomial function and estimate fluid flow with their algebraic model.

 Student Outcomes Students learn to fit polynomial functions to data values.