Reporting Category 1: Geometric Structure
G.2.B make conjectures about angles, lines, polygons, circles, and three-dimensional figures and determine the validity of the conjectures, choosing from a variety of approaches such as coordinate, transformational, or axiomatic. Video 1, Video 2, Video 3, Video 4
G.3.C use logical reasoning to prove statements are true and find counter examples to disprove statements that are false.
G.3.C use logical reasoning to prove statements are true and find counter examples to disprove statements that are false.
Reporting Category 2: Geometric Patterns and Representations
G.5.A use numeric and geometric patterns to develop algebraic expressions representing geometric properties.
G.5.D identify and apply patterns from right triangles to solve meaningful problems, including special right triangles (45-45-90 and 30-60-90) and triangles whose sides are Pythagorean triples.
G.5.D identify and apply patterns from right triangles to solve meaningful problems, including special right triangles (45-45-90 and 30-60-90) and triangles whose sides are Pythagorean triples.
Reporting Category 3: Dimensionality and the Geometry of Location
G.7.B use slopes and equations of lines to investigate geometric relationships, including parallel lines, perpendicular lines, and special segments of triangles and other polygons.
G.7.C [derive and] use formulas involving length, slope, and midpoint. Video 1, Video 2, Video 3
G.7.C [derive and] use formulas involving length, slope, and midpoint. Video 1, Video 2, Video 3
Reporting Category 4: Congruence and the Geometry of Size
G.8.A find areas of regular polygons, circles, and composite figures. Video 1, Video 2, Video 3, Video 4,
Video 5, Video 6
G.8.C [derive,] extend, and use the Pythagorean Theorem.
G.8.D find surface areas and volumes of prisms, pyramids, spheres, cones, cylinders, and composites of these figures in problem situations. Video 1, Video 2, Video 3, Video 4
G.10.B justify and apply triangle congruence relationships. Video 1, Video 2
Video 5, Video 6
G.8.C [derive,] extend, and use the Pythagorean Theorem.
G.8.D find surface areas and volumes of prisms, pyramids, spheres, cones, cylinders, and composites of these figures in problem situations. Video 1, Video 2, Video 3, Video 4
G.10.B justify and apply triangle congruence relationships. Video 1, Video 2
Reporting Category 5: Similarity and the Geometry of Shape
G.11.C develop, apply, and justify triangle similarity relationships, such as right triangle ratios, trigonometric ratios, and Pythagorean triples using a variety of methods.
G.11.D describe the effect on perimeter, area, and volume when one or more dimensions of a figure are changed and apply this idea in solving problems. Video 1, Video 2
G.11.D describe the effect on perimeter, area, and volume when one or more dimensions of a figure are changed and apply this idea in solving problems. Video 1, Video 2