Geometry
G1  2D Geometry
This geometry unit is organized around the 2dimensional geometry topics that are explicitly assessed by the TASC, such as using the Pythagorean Theorem to find the length of a side of a right triangle. However, this unit also addresses geometry topics that are foundational to topics covered by the subsequent 3Dimensinoal Geometry Unit. For example, finding the area or perimeter of polygons is not explicitly assessed by the TASC. However, the ability to work with these 2Dimensional measurements is embedded in other problems. As such, much of this unit is foundational to volume problems, as well as other algebra problems found throughout the TASC exam. Knowledge of key geometry terms and foundational concepts build the groundwork for the “highemphasis” standards addressed in the 3Dimensional Geometry unit.
Core skills of this unit:

Precisely define geometric figures

Find the perimeter and area of polygons

Use the Pythagorean Theorem

Find the lengths of sides of similar figures

Identify and interpret transformations on the coordinate plane

Find the area and circumference of circles
G2  3D Geometry
Students will be required to find the volume of prisms, pyramids, cones, spheres, and cylinders. In addition, the TASC will assess familiarity of surface area of prisms. Perhaps less obvious, is the treatment of density as a matter of geometry. Thinking of Density = Mass/Volume, as a comparison of the amount physical material to the amount of 3D space in which it is contained, we thus frame density. Making this more complicated is the issue of population density. To keep density problems together we included population density in this unit, but one could make the argument that this is a matter of 2Dimensional geometry as it is a comparison of people to area measured in square units. Either way, issues of volume and density are both identified as “high emphasis” by DRCCTB, and this unit will help students address these topics.
Core skills of this unit:

Find the volume of prisms and pyramids

Find the volume of cylinders, cones and spheres

Find the surface area of prisms

Calculate density and population density