Learning Targets – Unit One – Tools of Geometry
Identify and apply the definitions, properties and theorems about line segments,
rays and angles and use them to prove theorems in Euclidean Geometry solve
problems and perform basic geometric constructions using a straight edge and a
compass.
I will learn and apply definitions about line segments, rays and angles in Euclidean
Geometry.
I will learn and apply properties and theorems about line segments, rays and angles in
Euclidean Geometry.
I will perform basic geometric constructions using a straight edge and compass.
Analyze and apply angle relationships (e.g., linear pairs, vertical, complementary,
supplementary, corresponding and alternate interior angles) in real-world or
mathematical situations.
I will analyze and apply angular relationships among linear pairs, vertical,
complementary and supplementary angles in real world situations.
I will analyze and apply angular relationships among corresponding, alternate interior and
same side interior angles in real world situations.
Analyze and apply spatial relationships (not using Cartesian coordinates) among
points, lines and planes (e.g., “betweenness” of points, midpoint, segment length,
collinear, coplanar, parallel, perpendicular, skew).
I will analyze and apply spatial relationships among points, lines and planes
(betweenness, collinear, coplanar, skew).
I will analyze and apply spatial relationships among points, lines and planes (midpoint,
segment length).
I will analyze and apply spatial relationships among points, lines and planes (parallel,
perpendicular).
Establish the validity of geometric conjectures using deduction, prove theorems and
critique arguments made by others.
I will determine the validity of geometric principles using deduction, theorems and by
critiquing arguments made by others.
Explore geometry to make and test conjectures using geometric tools and
technology.
I will use geometry to construct and test hypotheses using geometric tools and
technology.
Find the distance between two points using their coordinates and the Pythagorean
theorem or the distance formula.
I will determine the distance between two points using their coordinates and the distance
formula.
Find the midpoint of a segment when the coordinates of the endpoints are identified.
I will find the midpoint of a segment when the endpoint coordinates are identified.
I will find an endpoint of a segment when the midpoint and the other endpoint are
identified.
Investigate conjectures and solve problems involving two-dimensional figures and
three dimensional objects represented graphically. Not routinely part of first unit.
Apply algebraic concepts and graphing in the coordinate plane to analyze and solve
problems (e.g., finding the final coordinates for a specified polygon, midpoints,
between-ness of points, parallel and perpendicular lines, the distance between two
points, the slope of a segment).
I will apply algebraic concepts and graphing in the coordinate plane to analyze and solve
problems (parallel, perpendicular and slope of a segment).
I will apply algebraic concepts and graphing in the coordinate plane to analyze and solve
problems (midpoint, betweenness and distance between two points).
(Learning Targets are written in standard type; whereas, bold type indicates the original
unpacked standard from which targets are drawn).