Lesson 1: Advanced Polygons & 3D Volume
Duration of Days: 3
Lesson Objective
SWBAT: Classify polygons (Hexagons, Octagons) and calculate their area using standard formulas.
Calculate the volume of both polyhedrons (cubes, prisms) and non-polyhedrons (cylinders, cones) to determine material weight.
How does knowing the volume of a part help us estimate the shipping cost of 1,000 units?
How many gallons of coolant are actually needed to fill a cylindrical reservoir?
Polygon, regular/irregular polygon, hexagon, octagon, area, volume, polyhedron, cylinder, cone, sphere, prism, exponent, power.
CTE.MFG.B.07 (Solve problems involving area and volume); CCSS.Math.HSG.GMD.A.3 (Volume formulas).
Students transition from perimeters to the calculation of surface area and volume. The purpose is to determine material weights and coolant tank capacities, which are essential for logistics and shop maintenance.
DOK Level: 2 (Skill/Concept)
Support: Provide "Volume Tiers"—students start with cubes and work up to cylinders using a step-by-step worksheet.
Extension: Calculate the "Volume of Displacement"—how much coolant is displaced when a large part is submerged in a tank?
"The Material Weight Lab" – Students calculate the volume of three different metal stock shapes and use a density chart to predict their weight.