Unpacked Content
Knowledge
Students know:
- Relationships (e.g. distance, slope of line) between sets of points.
- Properties of geometric shapes.
- Coordinate graphing rules and techniques.
- Techniques for presenting a proof of geometric theorems.
Skills
Students are able to:
- Accurately determine what information is needed to prove or disprove a statement or theorem.
- Accurately find the needed information and explain and justify conclusions.
- Communicate logical reasoning in a systematic way to present a mathematical proof of geometric theorems.
Understanding
Students understand that:
- Modeling geometric figures or relationships on a coordinate graph assists in determining truth of a statement or theorem.
- Geometric theorems may be proven or disproven by examining the properties of the geometric shapes in the theorem through the use of appropriate algebraic techniques.
Vocabulary
- Simple geometric theorems
- Simple geometric figures
