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Courses:: 111.34. Geometry (One Credit).
The student uses numeric and geometric patterns to make generalizations about geometric properties, including properties of polygons, ratios in similar figures and solids, and angle relationships in polygons and circles.
The student uses properties of transformations and their compositions to make connections between mathematics and the real world in applications such as tessellations or fractals.
The student identifies and applies patterns from right triangles to solve problems, including special right triangles (45-45-90 and 30-60-90) and triangles whose sides are Pythagorean triples.
The student uses similarity properties and transformations to explore and justify conjectures about geometric figures.
The student uses ratios to solve problems involving similar figures.
In a variety of ways, the student develops, applies, and justifies triangle similarity relationships, such as right triangle ratios, trigonometric ratios, and Pythagorean triples.
The student describes the effect on perimeter, area, and volume when length, width, or height of a three-dimensional solid is changed and applies this idea in solving problems.
The student understands the structure of, and relationships within, an axiomatic system.
The student analyzes geometric relationships in order to make and verify conjectures.
The student understands the importance of logical reasoning, justification, and proof in mathematics.
The student analyzes the relationship between three-dimensional objects and related two-dimensional representations and uses these representations to solve problems. Following are performance descriptions.
The student understands that coordinate systems provide convenient and efficient ways of representing geometric figures and uses them accordingly. Following are performance descriptions.
The student extends measurement concepts to find area, perimeter, and volume in problem situations. Following are performance descriptions.
The student analyzes properties and describes relationships in geometric figures. Following are performance descriptions.
The student applies the concept of congruence to justify properties of figures and solve problems. Following are performance descriptions.
The student analyzes geometric relationships in order to make and verify conjectures.
The student understands the importance of logical reasoning, justification, and proof in mathematics.
The student analyzes the relationship between three-dimensional objects and related two-dimensional representations and uses these representations to solve problems. Following are performance descriptions.
The student understands that coordinate systems provide convenient and efficient ways of representing geometric figures and uses them accordingly. Following are performance descriptions.
The student extends measurement concepts to find area, perimeter, and volume in problem situations. Following are performance descriptions.
The student analyzes properties and describes relationships in geometric figures. Following are performance descriptions.
The student applies the concept of congruence to justify properties of figures and solve problems. Following are performance descriptions.