Current Filters
 () Remove Math filter Math
 () Remove High School / Commencement Level filter High School / Commencement Level
 () Remove High School Geometry filter High School Geometry
 () Remove Expressing Geometric Properties with Equations filter Expressing Geometric Properties with Equations
 () Remove Translate between the geometric description and the equation for a conic section filter Translate between the geometric description and the equation for a conic section
 Clear All Filters
Search Within Results
Subjects
Grades
Resource Type
Topics
Common Core: Standard
Common Core: ELA
Common Core: Math
14 Results

 Student Outcomes Students learn to graph equations of the form x2/a2  y2/b2 =1 . Students derive the equations of hyperbolas given the foci, using the fact that the difference of distances from the...

 Student Outcomes Students derive the equations of ellipses given the foci, using the fact that the sum of distances from the foci is constant.

 Student Outcomes Students convert between the real and complex forms of equations for ellipses. Students write equations of ellipses and represent them graphically.

 Topic A brings students back to the study of complex roots of polynomial functions. Students briefly review quadratic and cubic functions and then extend familiar polynomial identities to both...

 Student Outcomes Students complete the square in order to write the equation of a circle in centerradius form. Students recognize when a quadratic in x and y is the equation for a circle.

 Student Outcomes Students write the equation for a circle in centerradius form, (x  a)2 (y  b)2 = r2 using the Pythagorean theorem or the distance formula. Students write the equation of a circle...

 Topic D brings in coordinate geometry to establish the equation of a circle. Students solve problems to find the equations of specific tangent lines or the coordinates of specific points of contact...

 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...

 Geometry Module 5: Circles With and Without Coordinates This module brings together the ideas of similarity and congruence and the properties of length, area, and geometric constructions studied...

 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....

 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...

 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...