Content Standards
MA.1.0: Students are familiar with, and can apply, polar coordinates and vectors in the plane. In particular, they can translate between polar and rectangular coordinates and can interpret polar coordinates and vectors graphically.
Adding Vectors
City Tour (Coordinates)
Points in Polar Coordinates
Points in the Coordinate Plane - Activity A
Vectors
MA.2.0: Students are adept at the arithmetic of complex numbers. They can use the trigonometric form of complex numbers and understand that a function of a complex variable can be viewed as a function of two real variables. They know the proof of DeMoivre's theorem.
MA.5.1: Students can take a quadratic equation in two variables; put it in standard form by completing the square and using rotations and translations, if necessary; determine what type of conic section the equation represents; and determine its geometric components (foci, asymptotes, and so forth).
Rock Art (Transformations)
Rotations, Reflections and Translations
Translations
MA.5.2: Students can take a geometric description of a conic section - for example, the locus of points whose sum of its distances from (1, 0) and (-1, 0) is 6 - and derive a quadratic equation representing it.
Circles
Ellipse - Activity A
Hyperbola - Activity A
Parabolas - Activity A
MA.6.0: Students find the roots and poles of a rational function and can graph the function and locate its asymptotes.
General Form of a Rational Function
Rational Functions
MA.7.0: Students demonstrate an understanding of functions and equations defined parametrically and can graph them.
Function Machines 2 (Functions, Tables, and Graphs)
Correlation last revised: 9/11/2014