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Common Core: Math
Subject: Math
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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...

 Precalculus Module 1: Complex Numbers and Transformations Module 1 sets the stage for expanding students' understanding of transformations by exploring the notion of linearity. This leads to the...

 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...

 Module 2 extends the concept of matrices introduced in Module 1. Students look at incidence relationships in networks and encode information about them via highdimensional matrices. Matrix...

 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...

 In this module, students build on their understanding of probability developed in previous grades. In Topic A the multiplication rule for independent events introduced in Algebra II is generalized...

 Student Outcomes Students solve quadratic equations with complex solutions. Students understand the geometric origins of the imaginary unit i in terms of 90degree rotations. Students use this...

 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,...

 In this topic, students first distinguish between discrete and continuous random variables and then focus on probability distributions for discrete random variables. In the early lessons of this...

 Student Outcomes Students learn when ideal linearity properties do and do not hold for classes of functions studied in previous years. Students develop familiarity with linearity conditions.

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

 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...

 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...

 Which Real Number Functions Define a Linear Transformation? Students develop facility with the properties that characterize linear transformations. Students learn that a mapping L:ℝ→ℝ is a linear...

 Topic A begins the study of linearity looking at common misconceptions made by math students. This study leads to complex solutions which launches the study of products, quotients of complex numbers...

 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 use probability concepts to make decisions in a variety of contexts.

 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,...

 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 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 prove the law of sines and use it to solve problems.

 Student Outcomes Students understand the inverse relationship between logarithms and exponents and apply their understanding to solve realworld problems.

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

 Student Outcomes Students prove the formula Area = 1/2 bc sin(A) for a triangle. They reason geometrically and numerically to find the areas of various triangles.