Geometry

G.2Coordinate and transformational geometry. The student uses the process skills to understand the connections between algebra and geometry and uses the one- and two-dimensional coordinate systems to verify geometric conjectures.G.3Coordinate and transformational geometry. The student uses the process skills to generate and describe rigid transformations (translation, reflection, and rotation) and non-rigid transformations (dilations that preserve similarity and reductions and enlargements that do not preserve similarity).G.4Logical argument and constructions. The student uses the process skills with deductive reasoning to understand geometric relationships.G.5Logical argument and constructions. The student uses constructions to validate conjectures about geometric figures.G.6Proof and congruence. The student uses the process skills with deductive reasoning to prove and apply theorems by using a variety of methods such as coordinate, transformational, and axiomatic and formats such as two-column, paragraph, and flow chart.G.7Similarity, proof, and trigonometry. The student uses the process skills in applying similarity to solve problems.G.8Similarity, proof, and trigonometry. The student uses the process skills with deductive reasoning to prove and apply theorems by using a variety of methods such as coordinate, transformational, and axiomatic and formats such as two-column, paragraph, and flow chart.G.9Similarity, proof, and trigonometry. The student uses the process skills to understand and apply relationships in right triangles.G.10Two-dimensional and three-dimensional figures. The student uses the process skills to recognize characteristics and dimensional changes of two- and three-dimensional figures.G.11Two-dimensional and three-dimensional figures. The student uses the process skills in the application of formulas to determine measures of two- and three-dimensional figures.G.12Circles. The student uses the process skills to understand geometric relationships and apply theorems and equations about circles.G.13Probability. The student uses the process skills to understand probability in real-world situations and how to apply independence and dependence of events.
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