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 Updated Modules and Curricular Resources The tables below reflect Mathematics and English Language Arts curricular materials and resources that have been updated. As additional materials are updated...

 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...

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

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

 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...

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

 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 will calculate quantities that involve positive and negative rational exponents.

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

 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 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...

 Inferences and Conclusions from Data Students build a formal understanding of probability, considering complex events such as unions, intersections, and complements as well as the concept of...

 Student Outcomes Students solve simple exponential equations numerically.

 Student Outcomes Students calculate a simple logarithm using the definition.

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

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