Mar 24, 2016 - 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...
Jan 26, 2016 - 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...
Jan 26, 2016 - Student Outcomes
Students transition between verbal, numerical, algebraic, and graphical thinking in analyzing applied polynomial problems.
Jan 26, 2016 - Student Outcomes
Students transition between verbal, numerical, algebraic, and graphical thinking in analyzing applied polynomial problems.
Jan 26, 2016 - Student Outcomes
Students model a cross-section of a riverbed with a polynomial function and estimate fluid flow with their algebraic model.
Jan 26, 2016 - Students extend their facility with solving polynomial equations to working with complex zeros. Complex numbers are introduced via their relationship with geometric transformations. The topic...
Jan 26, 2016 - Student Outcomes
Students define a complex number in the form a + bi, where a and b are real numbers and the imaginary unit i satisfies i 2 = −1. Students geometrically identify i as a multiplicand...
Jan 26, 2016 - Student Outcomes
Students solve quadratic equations with real coefficients that have complex solutions. They recognize when the quadratic formula gives complex solutions and write them as a + bi for...
Jan 26, 2016 - Student Outcomes
Students solve quadratic equations with real coefficients that have complex solutions. Students extend polynomial identities to the complex numbers.
Students note the difference...
Jan 26, 2016 - Student Outcomes
Students understand the Fundamental Theorem of Algebra; that all polynomial expressions factor into linear terms in the realm of complex numbers. Consequences, in particular, for...
Mar 24, 2016 - 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...
Jan 26, 2016 - Student Outcomes
Students review and practice applying the properties of exponents for integer exponents.
Students model a real-world scenario involving exponential growth and decay.
Jan 26, 2016 - 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...
Jan 26, 2016 - At the beginning of Topic B, students apply the properties of exponents to solve exponential equations numerically (F-BF.1a) as a way to motivate the need for logarithms, which are first introduced...
Sep 22, 2014 - 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...
Jan 26, 2016 - 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...
Jan 26, 2016 - 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...
