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Skills available for DoDEA Geometry standards

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G.1 Students understand the relationship between geometric ideas and their representation.

  • G.1.1 Demonstrate understanding by identifying and giving examples of undefined terms, axioms, theorems, and inductive and deductive reasoning;

  • G.1.2 Construct congruent segments and angles, angle bisectors, and parallel and perpendicular lines using a straight edge and compass, explaining and justifying the process used. Example: Construct the perpendicular bisector of a given line segment, justifying each step of the process.

G.2 Students identify and describe various kinds of triangles (right, acute, scalene, isosceles, etc.) They prove that triangles are congruent or similar and use properties of these triangles to solve problems.

G.3 Students identify and describe polygons (triangles, quadrilaterals, pentagons, hexagons, etc.) using terms such as regular, convex, and concave.

G.4 Students understand the relationship of lines and circles with coordinate systems.

G.5 Students convert between units of measures and use rates and scale factors to solve problems. They compute the perimeter, area, and volume of geometric objects. They investigate how perimeter, area, and volume are affected by changes of scale.

G.6 Students apply geometric skills to making conjectures, using axioms and theorems, understanding the converse and contra positive of a statement, constructing logical arguments, and writing geometric proofs.

G.7 Students use appropriate statistical methods to analyze data and calculate probability through independent/dependent events and compound events (including geometric probability).