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422 Results

 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.

 At the beginning of Topic B, students apply the properties of exponents to solve exponential equations numerically (FBF.1a) as a way to motivate the need for logarithms, which are first introduced...

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

 In Topic A, students both review what they already know about exponential expressions and functions with integer exponents, and extend the meaning of an exponential expression to allow for first...

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

 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...

 In Module 11.3, students engage in an inquirybased, iterative process for research. Building on work with evidencebased analysis in Modules 11.1 and 12.2, students explore topics that have multiple...

 In this module, students read, discuss, and analyze literary and informational texts, focusing on how authors use word choice and rhetoric to develop ideas, and advance their points of view and...

 This guide provides an indepth explanation of how New York State calculates student growth based on state tests for principals of grades 912 in SY 201314 by measuring student growth toward...

 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...

 The new Scaffolding Instruction for English Language Learners Resource Guides for ELA and Mathematics provide guidance to educators on how to take the curriculum materials on EngageNY and provide...

 In this topic, students develop an understanding of the six basic trigonometric functions as functions of the amount of rotation of a point on the unit circle (FTF.A.1), and then translate that...

 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...

 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...