STANDARDS ADDRESSED IN THIS UNIT
Mathematical standards are interwoven and should be addressed throughout the year in as many
different units and activities as possible in order to emphasize the natural connections that exist
among mathematical topics.
KEY STANDARDS
Use coordinates to prove simple geometric theorems algebraically.
MCC9-12.G.GPE.4 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).
MCC9-12.G.GPE.5 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).
MCC9-12.G.GPE.6 Find the point on a directed line segment between two given points
that partitions the segment in a given ratio.
MCC9-12.G.GPE.7 Use coordinates to compute perimeters of polygons and areas of
triangles and rectangles, e.g., using the distance formula.
RELATED STANDARDS
MCC9-12.G.CO.1 Know precise definitions of angle, circle, perpendicular line, parallel
line, and line segment, based on the undefined notions of point, line, distance along a line,
and distance around a circular arc.
MCC9-12.A.REI.10 Understand that the graph of an equation in two variables is the set of
all its solutions plotted in the coordinate plane, often forming a curve (which could be a
line).
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