Second Look  Volume and Surface Area 
Mathematical Lens: House, Amherst, Massachusetts This issue’s photograph is of a rectangular house and target questions focus on mathematical topics that include isometric drawings, area, and proportional reasoning. Students draw floor plans and elevations of the house and use proportional reasoning to estimate measurements from a perspective drawing and calculate the surface area. Mathematical Lens uses photographs as a springboard for mathematical inquiry. The goal of this department is to encourage readers to see patterns and relationships that they can think about and extend in a mathematically playful way. Mathematical Lens is a regular department of Mathematics Teacher. Includes questions for students and answer key. 
Teaching Proportional Reasoning through Familiar Biology Exploring relationships between size and heat loss in dogs teaches students about the ratio of surface area to volume. 
Activities for Students: Monod's Nightmare Problem An activity about e. coli to focus on teaching volume, surface area, and graphic modeling. Activities are handson, openended activities that encourage problem solving, reasoning, communication, and mathematical connections. Activities is a regular feature of Mathematics Teacher and highlights activities that develop conceptual understanding of mathematics topics. The author uses the growth of e. coli to discuss exponential growth. 
Illuminations Lesson: Tetrahedral Kites
Each student constructs a tetrahedron and describes the linear dimensions, area, and volume using nontraditional units of measure. Four tetrahedra are combined to form a similar tetrahedron whose linear dimensions are twice the original tetrahedron. The area and volume relationships between the first and second tetrahedra are explored, and generalizations for the relationships are developed. 
Measurement Standard for Grades 912
Instructional programs from prekindergarten through grade 12 should enable all students to—
Understand measurable attributes of objects and the units, systems, and processes of measurement
Expections: In grades 9–12 all students should—
 make decisions about units and scales that are appropriate for problem situations involving measurement.
Apply appropriate techniques , tools, and formulas to determine measurements
Expections: In grades 9–12 all students should—
 analyze precision, accuracy, and approximate error in measurement situations;
 understand and use formulas for the area, surface area, and volume of geometric figures, including cones, spheres, and cylinders;
 apply informal concepts of successive approximation, upper and lower bounds, and limit in measurement situations;
 use unit analysis to check measurement computations.
