GLEs: 17, 19, 20, 21, 22, 23, 24, 25, 26, 27, 30, 32, 48

Students will know…

·         Volume (the amount of space inside of a figure measured in cubic units)

·         Surface area (the sum of the areas of all surfaces and side surfaces of a three dimensional figure.

·         Circumference (the length of a circle, measured by multiplying the radius by 2 and pi.)

·         Prism (a solid with two bases that are formed by congruent polygons that lie in parallel planes.)

·         Cone (a solid with a base, a vertex not contained in the same plane as the base, and a lateral surface area composed of all points in the segments connecting the vertex to the edge of the base.

·         Symmetry (shows congruence of a shape when folded about a center point.)

·         Translation (slides figures the same distance in the same direction.)

·         Relationship of angles formed by parallel lines and a transversal (corresponding, vertical, alternate interior, alternate exterior, supplementary, complementary)

Students will be able to…

·         Conceptualize volume as a measure of filling an object.

·         Discover that strategies for finding the volume and surface area of a rectangular prism will work for any prism.

·         Reason about problems involving the surface area and volumes of rectangular prisms, cylinders, cones, and spheres.

·         Determine which rectangular prism has the least (greatest) surface area for a fixed volume.

·         Estimate the volume of an irregular shape by measuring the amount of water displaced by the solid.

·         Understand the relationship between a cubic centimeter and a milliliter.

·         Recognize and describe symmetries of figures.

·         Create figures with specified symmetries.

·         Give precise mathematical directions for performing reflections, rotations, and translations.

·         Determine angle measures formed by parallel lines and a transversal by measuring only one angle.