MA19.GDA.32

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

MA19.GDA.32
Use coordinates to prove simple geometric theorems algebraically.

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

Aligned Learning Resources

Can You Solve This Pier Puzzle? | Physics Girl

Combining Like Terms (Part 3)

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