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Common Core: Standard
Common Core: ELA
Common Core: Math
Grades: Grade 11
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 Algebra II Module 1: Polynomial, Rational, and Radical Relationships Students connect polynomial arithmetic to computations with whole numbers and integers. Students learn that the arithmetic of...

 Module 2 builds on students’ previous work with units and with functions from Algebra I, and with trigonometric ratios and circles from high school Geometry. The heart of the module is the study of...

 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...

 This topic focuses on factoring polynomials and the advantages of factored form of a polynomial to both solve equations and sketch graphs of polynomial functions. Students solve problems involving...

 Student Outcomes Students apply geometric concepts in modeling situations. Specifically, they find distances between points of a circle and a given line to represent the height above the ground of a...

 Student Outcomes Students solve simple exponential equations numerically.

 Student Outcomes Students will use the factored forms of polynomials to find zeros of a function. Students will use the factored forms of polynomials to sketch the components of graphs between zeros.

 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 graph polynomial functions and describe end behavior based upon the degree of the polynomial.

 Student Outcomes Students transition between verbal, numerical, algebraic, and graphical thinking in analyzing applied polynomial problems.

 Student Outcomes Students transition between verbal, numerical, algebraic, and graphical thinking in analyzing applied polynomial problems.

 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...

 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 calculate a simple logarithm using the definition.

 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 learn to fit polynomial functions to data values.

 Student Outcomes Students model and graph two functions given by the location of a passenger car on a Ferris wheel as it is rotated a number of degrees about the origin from an initial reference...

 Student Outcomes Students explore the historical context of trigonometry as motion of celestial bodies in a presumed circular arc. Students describe the position of an object along a line of sight in...

 Student Outcomes Students will define sine and cosine as functions for degrees of rotation of the ray formed by the positive axis up to one full turn. Students use special triangles to geometrically...

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

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

 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 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...