Essential Question:  How can you use properties of three-dimensional shapes used to determine volume?

Unit Rationale:  The unit expands the student’s knowledge of two-dimensional shapes and their areas to three-dimensional shapes and their surface areas and volumes.

As a result of this unit, students will be able to:

Ø  Determine the volume of solids.

Ø  Identify

§  Parts of 3-D shapes including prisms, cylinders, pyramids, cones, and spheres.

§  3-D shapes from their nets.

Vocabulary:

·        Geometric solid, cylinder, prism, sphere, cone, pyramid

·        Hemisphere

·        Polyhedron

·        Tetrahedron

·        Faces

·        Edges

·        Lateral faces

·        Lateral edges

·        Right polyhedral

·        Axis of a polyhedral

·        Altitude vs  height

·        Great circles

Standards: Standards will be assessed on both the state and classroom levels, however, standards with an asterisk (*) in the code will count for graduation requirements. 

Focus Standards:

G.6.C  Apply formulas for surface area and volume of three-dimensional figures to solve problems.

G.3.J  Describe prisms, pyramids, tetrahedral and regular polyhedral in terms of faces, edges, vertices, and properties.

Supporting Standards:

*G.6.F  Solve problems involving measurement conversions within and between systems, including those involving derived units, and analyze solutions in terms of reasonableness of solutions and appropriate units.

Reasoning, Problem Solving, and Communication Standards:

G.7.D  Generalize a solution strategy for a single problem to a class of related problems and apply a strategy for a class of related problems to solve specific problems.

G.7.F  Summarize mathematical ideas with precision and efficiency for a given audience and purpose.