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 Algebra I Module 3: Linear and Exponential Functions In earlier grades, students define, evaluate, and compare functions and use them to model relationships between quantities. In this module,...

 Algebra I Module 5: A Synthesis of Modeling with Equations and Functions In Module 5, students synthesize what they have learned during the year about functions to select the correct function type in...

 This module revisits trigonometry that was introduced in Geometry and Algebra II, uniting and further expanding the ideas of right triangle trigonometry and the unit circle. New tools are introduced...

 Students revisit the fundamental theorem of algebra as they explore complex roots of polynomial functions. They use polynomial identities, the binomial theorem, and Pascal’s Triangle to find roots...

 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...

 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...

 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...

 Student Outcomes Students determine the values of the sine, cosine, and tangent functions for rotations of π/3, π/4, and π/6 radians. Students use the unit circle to express the values of the sine,...

 Topic A helps students recall how to use special triangles positioned within the unit circle to determine geometrically the values of sine, cosine, and tangent at special angles. The unit circle is...

 Algebra I Module 4: Polynomial and Quadratic Expressions, Equations, and Functions In earlier modules, students analyze the process of solving equations and developing fluency in writing,...

 Student Outcomes Given the probability distribution of a discrete random variable in table or graphical form, students describe the longrun behavior of the random variable. Given a discrete...

 Student Outcomes Students graph the sine, cosine, and tangent functions and analyze characteristics of their graphs.

 Student Outcomes Students understand that restricting a trigonometric function to a domain on which it is always increasing or always decreasing allows its inverse to be constructed. Students use...

 Student Outcomes Students use inverse trigonometric functions to solve realworld problems addressing best viewing angles.

 Student Outcomes Students model situations using trigonometric functions and will apply inverse trigonometric functions to solve problems in modeling contexts.

 In this topic, students extend their understanding of probability, building on work from Grade 11. The multiplication rule for independent events introduced in Grade 11 is generalized to a rule that...

 Student Outcomes Students use the general multiplication rule to calculate the probability of the intersection of two events. Students interpret probabilities in context.

 Student Outcomes Students use the fundamental counting principle to determine the number of different possible outcomes for a chance experiment consisting of a sequence of steps. Students calculate...

 Student Outcomes Students calculate the number of different combinations of items selected from a set of distinct items.

 Student Outcomes Students distinguish between situations involving combinations and situations involving permutations. Students use permutations and combinations to calculate probabilities. Students...

 Student Outcomes Students distinguish between discrete random variables and continuous random variables. Given the probability distribution for a discrete random variable in table or graphical form,...

 The graphs of the trigonometric functions are revisited in Topic C. Students visualize these graphs with the aid of the appropriate software and briefly recall how changing various parameters of a...

 Student Outcomes Students prove the subtraction formula for cosine and use their understanding of the properties of the trigonometric functions to derive the remaining addition and subtraction...

 Student Outcomes Students use the addition formulas to derive the doubleangle formulas for sine, cosine, and tangent and evaluate trigonometric expressions for specific values of θ. Students use the...