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Common Core: Math
Grades: Grade 11
119 Results

 Student Outcomes Students use logarithm tables to calculate products and quotients of multidigit numbers without technology. Students understand that logarithms were developed to speed up arithmetic...

 Student Outcomes Students solve simple logarithmic equations using the definition of logarithm and logarithmic properties.

 Student Outcomes Students understand how to change logarithms from one base to another. Students calculate logarithms with any base using a calculator that computes only logarithms base 10 and base e...

 Student Outcomes Students construct a table of logarithms base 10 and observe patterns that indicate properties of logarithms.

 Student Outcomes Students construct a table of logarithms base 10 and observe patterns that indicate properties of logarithms.

 Student Outcomes Students use logarithms to determine how many characters are needed to generate unique identification numbers in different scenarios. Students understand that logarithms are useful...

 Student Outcomes Students calculate a simple logarithm using the definition.

 Student Outcomes Students solve simple exponential equations numerically.

 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...

 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...

 Student Outcomes Students rewrite expressions involving radicals and rational exponents using the properties of exponents.

 Student Outcomes Students will calculate quantities that involve positive and negative rational exponents.

 Student Outcomes Students review place value and scientific notation. Students use scientific notation to compute with large numbers.

 Student Outcomes Students review and practice applying the properties of exponents for integer exponents. Students model a realworld scenario involving exponential growth and decay.

 Student Outcomes Students see derivations and proofs of the addition and subtraction formulas for sine and cosine. Students prove some simple trigonometric identities.

 Student Outcomes Students prove simple identities involving the sine function, cosine function, and secant function. Students recognize features of proofs of identities.

 Student Outcomes Students prove the Pythagorean identity sin2(x) + cos2(x) = 1. Students extend trigonometric identities to the real line, with attention to domain and range. Students use the...

 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...

 Student Outcomes Students model cyclical phenomena from biological and physical science using trigonometric functions. Students understand that some periodic behavior is too complicated to be modeled...

 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 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 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 explore horizontal scalings of the graph of y =sin(x). Students convert between degrees and radians.

 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...