## Possible CCGPS standards to relate to Taxicab Geometry

__Analytic Geometry__

MCC9-12.G.GPE.1 - Derive the equation of a circle of given center and radius using the Pythagorean Theorem; complete the square to find the center and radius of a circle given by an equation.

MCC9-12.G.GPE.2 - Derive the equation of a parabola given a focus and directrix.

MCC9-12.F.IF.7 - Graph functions expressed symbolically and show key features of the graphy, by hand in simple cases and using technology for more complicated cases.

MCC9-12.F.IF.8 - Write a function defined by an expression in different but equivalent forms to reveal and explain different properties of the function.

__Advanced Algebra__

MCC9-12.A.CED.2 - Create equations in two or more variables to represent relationships between quantities; graph equations on coordinate axes with labels and scales.

MCC9-12.A.CED.1 - Create equations and inequalities in one variable and use them to solve problems. Include equations arising from linear and quadratic functions, and simple rational and exponential functions.

MCC9-12.A.CED. 3 - Represent constraints by equations or inequalities, and by systems of equations and/or inequalities, and interpret solutions as viable or non-viable options in a modeling context.

MCC9-12.A.CED.4 - Rearrange formulas to highlight a quantity of interest, using the same reasoning as in solving equations.

MCC9-12.G.MG.3 - Apply geometric methods to solve design problems (e.g., designing an object or structure to satisfy physical constraints or minimize cost; working with typographic grid systems based on ratios).

__Pre-Calculus__

MCC9-12.G.GPE.3 - Derive the equations of ellipses and hyperbolas given the foci, using the fact that the sum or difference of distances from the foci is constant.

Advanced Mathematical Decision Making

Advanced Mathematical Decision Making

MAMDMG1 - Students will create and use two- and three-dimensional representations of authentic situations