Mi Math Standards


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Picture of Troy Patterson

HSG-GPE.B.4

by Troy Patterson - Monday, July 31, 2017, 1:50 PM
 

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).

Grade levels
09, 10, 11, 12


Picture of Troy Patterson

HSG-GPE.B.5

by Troy Patterson - Monday, July 31, 2017, 1:50 PM
 

Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).

Grade levels
09, 10, 11, 12


Picture of Troy Patterson

HSG-GPE.B.6

by Troy Patterson - Monday, July 31, 2017, 1:50 PM
 

Find the point on a directed line segment between two given points that partitions the segment in a given ratio.

Grade levels
09, 10, 11, 12


Picture of Troy Patterson

HSG-GPE.B.7

by Troy Patterson - Monday, July 31, 2017, 1:50 PM
 

Use coordinates to compute perimeters of polygons and areas of triangles and rectangles, e.g., using the distance formula.*

Grade levels
09, 10, 11, 12


Picture of Troy Patterson

HSG-MG.A.1

by Troy Patterson - Monday, July 31, 2017, 1:50 PM
 

Use geometric shapes, their measures, and their properties to describe objects (e.g., modeling a tree trunk or a human torso as a cylinder).*

Grade levels
09, 10, 11, 12


Picture of Troy Patterson

HSG-MG.A.2

by Troy Patterson - Monday, July 31, 2017, 1:50 PM
 

Apply concepts of density based on area and volume in modeling situations (e.g., persons per square mile, BTUs per cubic foot).*

Grade levels
09, 10, 11, 12


Picture of Troy Patterson

HSG-MG.A.3

by Troy Patterson - Monday, July 31, 2017, 1:50 PM
 

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).*

Grade levels
09, 10, 11, 12


Picture of Troy Patterson

HSG-SRT.A.1

by Troy Patterson - Monday, July 31, 2017, 1:50 PM
 

Verify experimentally the properties of dilations given by a center and a scale factor:

Grade levels
09, 10, 11, 12


Picture of Troy Patterson

HSG-SRT.A.1a

by Troy Patterson - Monday, July 31, 2017, 1:50 PM
 

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.

Grade levels
09, 10, 11, 12


Picture of Troy Patterson

HSG-SRT.A.1b

by Troy Patterson - Monday, July 31, 2017, 1:50 PM
 

The dilation of a line segment is longer or shorter in the ratio given by the scale factor.

Grade levels
09, 10, 11, 12



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