Common Core State
HSG.MG.A1
Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).*
October 1, 2018HSN.CN.A1
Know there is a complex number i such that i² = -1, and every complex number has the form a + bi with a and b real.
October 1, 2018HSG.MG.A2
Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot).*
October 1, 2018HSN.CN.A2
Use the relation i² = -1 and the commutative, associative, and distributive properties to add, subtract, and multiply complex numbers.
October 1, 2018HSG.MG.A3
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).*
October 1, 2018HSG.SRT.A1
Verify experimentally the properties of dilations given by a center and a scale factor:
October 1, 2018HSG.CO.D13
Construct an equilateral triangle, a square, and a regular hexagon inscribed in a circle.
October 1, 2018HSG.GMD.A1
Give an informal argument for the formulas for the circumference of a circle, area of a circle, volume of a cylinder, pyramid, and cone. Use dissection arguments, Cavalieri’s principle, and informal limit arguments.
October 1, 2018HSG.GMD.A2
(+) Give an informal argument using Cavalieri’s principle for the formulas for the volume of a sphere and other solid figures.
October 1, 2018HSG.GMD.A3
Use volume formulas for cylinders, pyramids, cones, and spheres to solve problems.*
October 1, 2018HSG.GMD.B4
Identify the shapes of two-dimensional cross-sections of three-dimensional objects, and identify three-dimensional objects generated by rotations of two-dimensional objects.
October 1, 2018HSG.GPE.A1
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.
October 1, 2018