High School: Geometry
HSG.SRT.C7
Explain and use the relationship between the sine and cosine of complementary angles.
October 1, 2018HSG.SRT.C8
Use trigonometric ratios and the Pythagorean Theorem to solve right triangles in applied problems.*
October 1, 2018HSG.SRT.D9
(+) Derive the formula A = 1/2 ab sin(C) for the area of a triangle by drawing an auxiliary line from a vertex perpendicular to the opposite side.
October 1, 2018HSG.SRT.D11
(+) Understand and apply the Law of Sines and the Law of Cosines to find unknown measurements in right and non-right triangles (e.g., surveying problems, resultant forces).
October 1, 2018HSG.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, 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, 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.SRT.A2
Given two figures, use the definition of similarity in terms of similarity transformations to decide if they are similar; explain using similarity transformations the meaning of similarity for triangles as the equality of all corresponding pairs of angles and the proportionality of all corresponding pairs of sides.
October 1, 2018