Common Core Math - HS Geometry
Lesson Plan
Prove slope criteria for lines
Goals / Objectives
Prove that two non-vertical lines are parallel if and only if they have equal slopes, using the concept of translation or similar triangles formed by the lines and horizontal/vertical reference segments
Prove that two non-vertical lines are perpendicular if and only if the product of their slopes is -1 (that is, their slopes are negative reciprocals)
Find the equation of a line parallel to a given line that passes through a specified point
Find the equation of a line perpendicular to a given line that passes through a specified point
Apply slope criteria to solve geometric problems involving parallel and perpendicular lines in the coordinate plane
Standards
HSG.GPE.B.5
HSG.GPE.B.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).
Academic Vocabulary
Not in our source material
Materials
Remediation
Enrichment
Accommodations
Not in our source material