MAT-HS Targeted Standards (G) Concept: Geometry (GPE) Domain: Expressing Geometric Properties with Equations Cluster: Use coordinates to prove simple geometric theorems algebraically
MAT-HS.G-GPE.05 Develop and verify the slope criteria for parallel and perpendicular lines.
Apply the slope criteria for parallel and perpendicular lines to solve geometric problems using algebra. (e.g., find the equation of a line parallel or perpendicular to a given line that passes through a given point).
Student Learning Targets:
Knowledge Targets
I can
I can
Reasoning Targets
I can
I can
Skills (Performance) Targets
I can use slope to prove that lines are parallel or perpendicular.
I can solve geometric problems using slope of parallel and perpendicular lines.
Product Targets
I can
I can
Proficiency Scale
Score
Description
Sample Activity
Advanced
In addition to Score 3.0, the student demonstrates in-depth inferences and applications regarding more complex material that go beyond end of instruction expectations.
-
3.5
In addition to Score 3.0 performance, the student demonstrates in-depth 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.
Use coordinates to find the slope of lines and determine if they are parallel, perpendicular or neither.
Write the equation of a line parallel to a given line through a given point.
Write the equation of a line perpendicular to a given line through a given point.
Given the points (4, -2) (7, 8) for line 1 and the points (-5, 3) (4, 6) for line 2, determine whether the given lines are parallel, perpendicular or neither.
Write the equation of a line parallel to 2x+3y=9 that passes through the point (-3,4).
Write the equation of a line perpendicular to 3x-4y=16, that passes through the point (2,3).
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).
The student can recall basic terminology and facts such as:
Parallel
Perpendicular
Slope formula
Opposite reciprocal
Equation of a line
Identify whether the lines are parallel or perpendicular.
y=2x-4
y=-½ x +3
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.