MA19.GDA.33

Mathematics (2019) Grade(s): 09-12 - Geometry with Data Analysis

MA19.GDA.33
Prove the slope criteria for parallel and perpendicular lines and use them to solve geometric problems.

Unpacked Content

Knowledge

Students know:

Techniques to find the slope of a line.
Key features needed to solve geometric problems.
Techniques for presenting a proof of geometric theorems.

Skills

Students are able to:

Explain and justify conclusions reached regarding the slopes of parallel and perpendicular lines.
Apply slope criteria for parallel and perpendicular lines to accurately find the solutions of geometric problems and justify the solutions.
Communicate logical reasoning in a systematic way to present a mathematical proof of geometric theorems.

Understanding

Students understand that:

Relationships exist between the slope of a line and any line parallel or perpendicular to that line.
Slope criteria for parallel and perpendicular lines may be useful in solving geometric problems.

Vocabulary

Parallel lines
Perpendicular lines
Slope
Slope triangle

COS Examples

Example: Find the equation of a line parallel or perpendicular to a given line that passes through a given point.

Aligned Learning Resources

Take the Stairs to Slope!

PER - PIN - TIC - YOU - LER!(Part 2 to Take the Stairs Lesson)

Design by Adaptive Theme