Appendix – Implementing District Standards
Richmond Public Schools follows the Virginia Department of Education’s (VDOE) Standards of Learning (SOL). According to the Mathematics Standards of Learning for Virginia Public Schools, sixth-grade students will be expected to solve area and perimeter problems of rectangles while seventh-grade students will be expected to solve problems related to volume of rectangular prisms. This curriculum unit focuses on the following sixth- and seventh-grade standards within the “Measurement and Geometry” sections of the VDOE’s Mathematics Standards of Learning:
SOL 6.7c The student will solve problems, including practical problems, involving area and perimeter of triangles and rectangles.
Activities one through four are open-ended activities that will help students define the properties of rectangles and then measure the shapes. They will use manipulatives as well as multiple means of representation to find the perimeter and area. Eventually, students will come to understand the meaning and purpose of the formulas used to find a rectangle’s area. During these activities they will see that unit iteration is the basis of measurement and will abstract the process of using units so that they can grasp the connection between arithmetic processes of formulas and physical processes of measuring using manipulatives.
7.4a The student will describe and determine the volume and surface area of rectangular prisms.
The fifth activity extends into the seventh-grade curriculum and is a project-based, practical project where students will use unit cubes to solve the volume of various rectangular prisms that they will then fill with the correct volume of soil. The focus here is to have students grasp the relationship between volume and area. The last activity will help students develop their spatial reasoning and spatial ability while also seeing the connections between forms of measurements of rectangles and rectangular prisms.
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