Common Core: MATH.CONTENT
HSN.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.SRT.A1a
A dilation takes a line not passing through the center of the dilation to a parallel line, and leaves a line passing through the center unchanged.
October 1, 2018HSG.SRT.A1b
The dilation of a line segment is longer or shorter in the ratio given by the scale factor.
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, 2018HSG.GPE.A3
(+) 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.
October 1, 2018HSG.GPE.B4
Use coordinates to prove simple geometric theorems algebraically. For example, prove or disprove that a figure defined by four given points in the coordinate plane is a rectangle; prove or disprove that the point (1, √3) lies on the circle centered at the origin and containing the point (0, 2).
October 1, 2018