The volume of a object is the number Prerequisite/Extension SOL of unit cubes that would fill the object. Textbook Resources Chapter 11: 11.1 11.5 7.5 a) describe volume/surface area – of cylinders; b) solve practical Essential Knowledge/Skills problems involving volume/surface Resources/Lessons area of rect. prims and cylinders; c) describe how changes in measured Find the surface area of cylinders, prisms, pyramids, attribute affects volume/surface area cones, and spheres, using the appropriate formulas. 8.7 a) investigate/solve practical Calculate the volume of cylinders, prisms, pyramids, problems involving volume/surface cones, and spheres, using the appropriate formulas. area of prisms, cylinders, cones, pyramids; b) describe how changes in measured attribute affects Solve problems, including real-world problems, volume/surface area involving total surface area and volume of cylinders, prisms, pyramids, cones, and spheres as well as 8.9 construct a 3‐D model given top combinations of three-dimensional figures. or bottom/side/front views Calculators may be used to find decimal approximations for results. Dates Standards/Essential Questions Essential Knowledge/Skills/Understanding Resources Block Trdtl Standard: G.14 Essential Understanding Key Vocabulary The student will use similar 1 day 1½ days A change in one dimension of an object results in geometric objects in two- or predictable changes in area and/or volume. DOE Lesson Plans dimensions to a) compare ratios between side A constant ratio exists between corresponding lengths of lengths, perimeters, areas, and sides of similar figures. Textbook Resources volumes; Chapter 11:11.6 b) determine how changes in one or Proportional reasoning is integral to comparing attribute more of an object measures in similar objects.
Prerequisite/Extension SOL 7.5 a) describe volume/surface area of cylinders; b) solve practical problems involving volume/surface area of rect. prims and cylinders; c) describe how changes in measured attribute affects volume/surface area 8.7 a) investigate/solve practical problems involving volume/surface area of prisms, cylinders, cones, pyramids; b) describe how changes in measured attribute affects volume/surface area 8.9 construct a 3‐D model given top or bottom/side/front views The volume of a object is the number of unit cubes that would fill the object. Essential Knowledge/Skills Find the surface area of cylinders, prisms, pyramids, cones, and spheres, using the appropriate formulas. Calculate the volume of cylinders, prisms, pyramids, cones, and spheres, using the appropriate formulas. Solve problems, including real-world problems, involving total surface area and volume of cylinders, prisms, pyramids, cones, and spheres as well as combinations of three-dimensional figures. Calculators may be used to find decimal approximations for results. Textbook Resources Chapter 11: 11.1 – 11.5 Resources/Lessons Dates Standards/Essential Questions Essential Knowledge/Skills/Understanding Resources Block 1 day Trdtl 1½ days Standard: G.14 The student will use similar geometric objects in two- or to a) compare ratios between side lengths, perimeters, areas, and volumes; b) determine how changes in one or more dimensions of an object Essential Understanding A change in one dimension of an object results in predictable changes in area and/or volume. A constant ratio exists between corresponding lengths of sides of similar figures. Proportional reasoning is integral to comparing attribute measures in similar objects. Key Vocabulary DOE Lesson Plans Textbook Resources Chapter 11:11.6