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
