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Common Core: Math
Grades: Grade 11
119 Results

 Student Outcomes Students define the secant function and the cofunctions in terms of points on the unit circle. They relate these names for these functions to the geometric relationships among lines...

 Student Outcomes Students define the tangent function and understand the historic reason for its name. Students use special triangles to determine geometrically the values of the tangent function for...

 Student Outcomes Students will define sine and cosine as functions for all real numbers measured in degrees. Students will evaluate the sine and cosine functions at multiples of 30 and 45.

 Student Outcomes Students will define sine and cosine as functions for degrees of rotation of the ray formed by the positive axis up to one full turn. Students use special triangles to geometrically...

 Student Outcomes Students explore the historical context of trigonometry as motion of celestial bodies in a presumed circular arc. Students describe the position of an object along a line of sight in...

 Student Outcomes Students model and graph two functions given by the location of a passenger car on a Ferris wheel as it is rotated a number of degrees about the origin from an initial reference...

 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...

 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...

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

 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 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 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 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 solve linear systems in three variables algebraically.

 Student Outcomes Students develop facility in solving radical equations.

 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 solve word problems using models that involve rational expressions.

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

 Student Outcomes Students perform addition and subtraction of rational expressions.

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