MATHS.GCO.09.b Apply theorems about lines and angles.
Theorems include: vertical angles are congruent; when a transversal crosses parallel lines, alternate interior angles are congruent and corresponding angles are congruent; points on a perpendicular bisector of a line segment are exactly those equidistant from the segment’s endpoints. (Focus is on applying the theorems for CCO.9B)
Student Learning Targets:
Knowledge Targets
I can
I can
Reasoning Targets
I can
I can
Skills (Performance) Targets
I can
I can
Product Targets
I can
I can
Proficiency Scale
Score
Description
Sample Activity
Advanced
In addition to Score 3.0, the student demonstrates indepth inferences and applications regarding more complex material that go beyond end of instruction expectations.
Concepts:
Vertical Angles
Angles created by parallel lines and a transversal
Perpendicular Bisector theorems
Solve for x and y.
3.5
In addition to Score 3.0 performance, the student demonstrates indepth inferences and applications regarding the more complex content with partial success.
Proficient
“The Standard.” The student demonstrates no major errors or omissions regarding any of the information and processes that were end of instruction expectations.
Identify the relevant information
Apply geometric relationships to create an algebraic model for the situation
Solve and answer the given question (Ex. Solve for the given variable, Find the angle measurement)
Concepts:
Vertical Angles
Angles created by parallel lines and a transversal
Perpendicular Bisector theorem
Solve for x.
Solve for x and y.
2.5
The student demonstrates no major errors or omissions regarding the simpler details and processes (Score 2.0 content) and partial knowledge of the more complex ideas and processes (Score 3.0 content).
Progressing
The student demonstrates no major errors or omissions regarding the simpler details and processes but exhibits major errors or omissions regarding the more complex ideas and processes (Score 3.0 content).
can recognize and recall angle pairs
can apply postulates, definitions, properties, and theorems to identify angle measurements
Concepts:
Vertical Angles
Angles created by parallel lines and a transversal
Perpendicular Bisector theorems
Example 2
1.5
The student demonstrates partial knowledge of the simpler details and processes (Score 2.0 content) but exhibits major errors or omissions regarding the more complex ideas and procedures (Score 3.0 content).
Beginning
With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) and some of the more complex ideas and processes (Score 3.0 content).

0.5
With help, the student demonstrates a partial understanding of some of the simpler details and processes (Score 2.0 content) but not the more complex ideas and processes (Score 3.0 content).
0.0
Even with help, the student demonstrates no understanding or skill.