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Common Core: Standard
Common Core: ELA
Common Core: Math
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 Student Outcomes Students model a crosssection of a riverbed with a polynomial function and estimate fluid flow with their algebraic model.

 Students solve polynomial, rational, and radical equations, and apply these types of equations to realworld situations. They examine the conditions under which an extraneous solution is introduced...

 Student Outcomes Students define rational expressions and write them in equivalent forms.

 Student Outcomes Students compare rational expressions by writing them in different but equivalent forms.

 Student Outcomes Students multiply and divide rational expressions and simplify using equivalent expressions.

 Student Outcomes Students perform addition and subtraction of rational expressions.

 Student Outcomes Students solve rational equations, monitoring for the creation of extraneous solutions.

 Student Outcomes Students solve word problems using models that involve rational expressions.

 Student Outcomes Students solve simple radical equations and understand the possibility of extraneous solutions. They understand that care must be taken with the role of square roots so as to avoid...

 Student Outcomes Students develop facility in solving radical equations.

 Student Outcomes Students solve linear systems in three variables algebraically.

 Student Outcomes Students solve systems of linear equations in two variables and systems of a linear and a quadratic equation in two variables. Students understand that the points at which the two...

 Student Outcomes Students develop facility with graphical interpretations of systems of equations and the meaning of their solutions on those graphs. For example, they can use the distance formula to...

 Student Outcomes Students model the locus of points at equal distance between a point (focus) and a line (directrix). They construct a parabola and understand this geometric definition of the curve....

 Student Outcomes Students learn the vertex form of the equation of a parabola and how is arises from the definition of a parabola. Students perform geometric operations, such as rotations,...

 Student Outcomes Students apply the geometric transformation of dilation to show that all parabolas are similar.

 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...

 Student Outcomes Students understand the possibility that an equation—or a system of equations—has no real solutions. Students identify these situations and make the appropriate geometric...

 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...

 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...

 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...

 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...

 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 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...