Three-Dimensional Measurement: Math Unit 7, Grade 10 (Letters & Devotion)

Description

Three-Dimensional Measurement is Unit 7 of Geometry: Structure, Proof, and Measurement (Grade 10), the Letters & Devotion Math course, complete in one printable PDF: 8 lessons, the unit check-up and the answer key, 57 pages.

• Cavalieri’s principle (equal cross-sectional area at every height implies equal volume)
• Volume formulas for prisms, cylinders, pyramids, and cones
• Surface area via net decomposition
• The sphere volume formula derived via Cavalieri’s principle (hemisphere vs. cylinder-minus-cone)
• The effect of scale factor k on length (k), area (k^2), and volume (k^3)
• Volume and surface area of composite solids modeling a real object
• Density as a conversion between volume and mass for real-world objects
• Matching real-world objects to appropriate solid models (including frustums and partial solids)

Every lesson is written for a parent with no teaching background: it opens with a short script to read aloud, names the specific wrong idea a student is likely to reach for and how to correct it, and closes with a practice sheet you may copy for your household. Scripture references are King James Version throughout. Black-and-white, 8.5 x 11 in. The whole year of this course is also in this store as a single book.

AI note: The written content of this resource was drafted with AI tools, then reviewed and edited by the author.