Given a problem involving cones or cylinders, the student will find the surface area using appropriate units of measure.

Given a problem involving cones or cylinders, the student will find the volume using appropriate units of measure.

The student will verify theorems about angles formed by parallel lines cut by a transversal and apply these relationships to solve problems.

Given a problem involving prisms or pyramids, the student will find the surface area using appropriate units of measure.

Given a problem involving prisms or pyramids, the student will find the volume using appropriate units of measure.

Given geometric figures on the coordinate plane, the student will apply the definition of congruence, in terms of rigid transformations, to identify congruent figures. The student will also identify and distinguish between reflectional and rotational symmetry in a plane figure.

Given information about the properties of polygons, students will verify theorems about the relationships, including the sum of interior angles, and apply these relationships to solve problems.

The student will describe the effects of changing one or more dimensions on the area of a figure.

Given congruent triangles, the student will justify and apply triangle congruence relationships.

Given problem situations involving similar figures, the student will use and extend similarity properties and transformations to explore and justify conjectures about the given figures.

Given numerical and/or geometric patterns that represent angle relationships in circles, the student will investigate inscribed angle relationships.

The student will apply and prove the definition of similar triangles and identify and apply the relationships that exist when an altitude is drawn to the hypotenuse of a right triangle, including the geometric mean.

Given problem situations involving similar figures, the student will apply and justify triangle similarity relationships such as Pythagorean triples.

Given problem situations involving similar figures, the student will describe the effect on perimeter when one or more dimensions of the figure are changed and apply this idea in solving problems.

The student will describe the effects of changing one or more dimensions on the volume of a 3-dimensional figure.

Given a net for a three-dimensional figure, the student will make conjectures and draw conclusions about the three-dimensional figure formed by the given net.

Given examples of quadrilaterals and their component parts, the student will use explorations and concrete models to prove a quadrilateral is a parallelogram, rectangle, square, or rhombus using opposite sides, opposite angles, or diagonals.

The student will find the area of polygons and circles. Then, the student will use probability to solve real-world problems.

The student will distinguish the difference between undefined terms, definitions, postulates, conjectures, and theorems.

Given a problem involving spheres, the student will find the surface area and volume.